I can pray. Pastor. Yes. Yes. Please Rose. Father in heaven, we thank you for today. We thank you for the many ways you provide, you protect and you preserve us. Thank you for your unending and unconditional love for all of us. Father, we thank you for the next hour of being in this school and we devote and commit this hour to you. Father, we also ask that you anoint Pastor Nancy with your words of wisdom as she speaks in your behalf. Inspire us. Inspire us and move us by your Holy Spirit as we listen and understand what we are about to hear. Inspire Pastor Nancy. Guide us all by the light that comes from your word. Father, we ask this all in the name of your Son, Jesus Christ. Amen. Amen. Amen. Thank you. Thank you, Rose, for leading us. And once again, welcome. Good morning to everyone. Thank you for joining in. So, this morning, I will begin with the quick recap of our lesson on baptism because in the last class, somehow, I forgot to press record or I don't know. I thought I pressed record but something happened but the whole thing didn't get recorded. So, I'll just do a quick recap of baptism for the sake of our e-learning students or anyone else who is connecting to the YouTube channel. And after that, you know, I'll go into the second sacrament of the church, which is communion. So, we said that there are two sacraments or these are practices that are ordained for the church to follow and these two that we still continue to keep are water baptism and the communion. We see the 1st century church follow it and we do have clear instructions in God's word commanding us to continue these two practices. We don't have any such instruction for other practices. In fact, some of the practices that the Jews had, those were not considered essential for the Christians to keep. For example, circumcision. That's something that has significance in the Old Testament but we very clearly see that the elders of the church, they gave an instruction, they gave clarity that for a bond against the believer, they no longer needed to follow that practice. So similarly, there are other practices that we can look at in the Old Testament under the Old Covenant which we might wonder if we must continue. But there is clarity on these two ordinances or practices because we see the 1st century church following it even in the epistles. There is a reference to things like water baptism. There is a reference to the Holy Covenant but other things we don't. So that is the reason we're talking only about these two ordinances. In the last class, we said that water baptism indicates one's repentance and one's willingness to be part of God's kingdom. This way of bringing people into the kingdom or inviting them to God. So John the Baptist practices a lot and that is why he was called John the Baptist. Even Jesus was baptized by John. We know that Jesus has nothing to repent of but as an act of obedience to the Father, Jesus still underwent water baptism and he was fully immersed in water and the reason why he did that was to fulfill all obedience unto God and we see that just the way Jesus was baptized, we as believers need to be baptized and there is a command as per the Great Commission for us to go make disciples and baptize people in the name of the Father, the Son and the Holy Spirit. This act of getting baptized on one spot, it is a decision that they are making to follow Jesus Christ for the rest of their lives. The act of baptism is also symbolic of what Jesus went through. Jesus died, he was buried and he rose from the dead. Romans chapter 6 verse 4 shows us that similarly, spiritual believer has died to the old life, has been buried with Christ and also experienced that resurrection with Christ as they come out of the water. So it is symbolic of what the Lord Jesus went through. Baptism also helps us have a clear conscience towards God. That is something God has asked us to do and we obey him and whenever we obey God, we can carry a clear conscience before God. What is the requirement for one to be? What about this? One needs to be born again. You know, it's as simple as that. So they need to repent and believe and after that one can be water baptized. So we don't see too many prerequisites strictly telling people to do a lot of other things before they are water baptized. In fact, when you see the way believers in the book of Acts baptized people, somebody who was born again a couple of hours ago, somebody who was born again a few days ago, they just went ahead and they baptized them in water because it's about that person confessing Christ, repenting of their own life and following Jesus. Yes. So that is all that is required for one to be water baptized. What a baptism has got to be immersion only. We don't see any biblical basis for things like sprinkle baptism or you know, any other form of baptism. It has to be immersion baptism. The word baptism, it's a baptism or it means to be immersed or to be dumped or dipped. And therefore immersion is the way to go when we talk about what a baptism. We also must not infer that one needs to become very mature spiritually or needs to be a spiritual giant in order for them to be water baptized because you know, we don't see that in scripture. People didn't even wait the moment somebody believed they baptized them. So one is baptized in water and then the normal journey of walking with Christ and growing in God, that needs to take place. So maturity, it's not required that one be very mature, you know, for them to be water baptized. Then yes, when we are water baptized, we can expect supernatural things to take place. We can expect answers to prayer because it's an act of obedience and we know that every time we obey God, God's blessing comes upon our lives. And so yes, there are testimonies when people were water baptized, they receive breakthroughs. But then there are other testimonies where nothing dramatic happened. But the point is that we have been commanded to follow water baptism and we are just being obedient to it. So one of the good ways in which we can follow this practice in our local churches is to invite people as soon as they believe, you know, invite them to be baptized. One could choose a particular day in the month or as it works for that local body, pick a particular day and everyone who has believed on that particular day could take them if there is no source of water, a close while you could plan to go to a place where there is a tank or there is a river or something like that and then by faith people can be baptized in water so that they are able to, in a sense, you know, they are declaring to the people that now they have become followers of the Lord Jesus Christ and they are confirming that decision to follow the Lord Jesus Christ. And then people are baptized. We see that we can baptize them in the name of the Father, the Son and the Holy Spirit as per some of the scriptures. But in the book of Acts, we see that people are baptized in the name of Jesus. You know, either should be fine, but just so we follow both, both the, you know, instructions or recommendations. Here at APC, I mentioned to all of us, we say in the name of the Father, the Son and the Holy Spirit and, you know, I baptize you in Jesus name. So we just do it both ways so that people who are coming from a certain background, they don't feel like, hey, you didn't do it like this. This is what it says in Acts. So this is what it says in Matthew. So we do it both ways. And yes, it's something that is to be done by faith by the person who is baptizing and also the person who is being baptized. You receive that by faith. And baptism is fine once because it's just a, it's just a professional acceptance of one's decision to follow Christ. And, you know, we make that decision once, right? Once we are born again. So one need not be baptized again and again. One baptism, and that is more than enough. And does baptism, is baptism a prerequisite for someone to be born again? No, we don't see that. You know, what if somebody is not water baptized for various reasons? In the last discussion, we saw some people could be bedridden. They cannot be dipped in water. What happens to a person's salvation that we don't see scripture putting a, like it's not a rule where if you are not water baptized and you're not going to receive salvation. So, yes, in some instances, people who are born again are unable to baptize, but that does not affect their salvation. So these are all some of the points that the key points which we discussed in the last class, and we also made this point that when it comes to the Holy Spirit baptism, the order in which one can be baptized in water, one can be baptized in the Holy Spirit. We don't see a prescribed order again in scripture. It could be either way. One could be baptized first in the Holy Spirit and then be baptized in water or the other way around. So some of the key things that we touched upon and I think that should cover all the basics about water baptism. So let's move on from here. Today, we will discuss about the Lord's table. The Lord's table is a practice where we partake of bread, which is representative of the body of Jesus and wine or grape juice, which is representative of the blood of Jesus. Now, who instituted the Lord's table? It's the Lord Jesus himself in Matthew chapter 26 from verses 18 through 30. And it would be good if someone can just read that passage for us, please. Matthew 26 verses 18 through 30. Yes, ma'am. Matthew 26, 18 to? Ma'am, 18 to? 30. And he said, going to the city to search a man and say to him, the master said, my time is at hand. I will keep the Passover at thy house with my disciples. And the disciples did as Jesus had appointed them and they made ready the Passover. Now, when the even was come, he sat down with the 12. And as they did eat, he said, earlier, same to you that one of you shall betray me. And they were exceeding sorrowful and began every one of them to say unto him, Lord, is it I? And he answered and said, he that dipped his hand with me in the dish, the same shall betray me. The Son of Man goeth as it is written of him. But why want to that man by whom the Son of Man is betrayed? It had been good for that man. If he had not been born, then you thus which betrayed him answered and said, master, is it I? He said unto him, thou hast said. And as they were eating, Jesus took bread and blessed it and break it and gave it to his disciples and said, take, eat. This is my body. And he took the cup and gave thanks and gave it to them saying, drink all of it. For this is my blood of the New Testament, which is shed for many for the remission of sins. But I say unto you, I will not drink henceforth of this root of the wine until that day when I drink it new with you in my father's kingdom. And when they had sung and him, they went out into the Mount of Olives. Yes, thank you. Thank you, Susan. So, yeah, so thank you so much for going through that. Here we see the Lord Jesus in the Last Supper. For the first time, we are not sure if it's for the first time because even, yeah, because in John, we find that people are opposing the Lord Jesus for preaching something like this. But anyway, you know, we see that at the Last Supper, he goes ahead with the communion. And he talks about it being his body and his blood, and he encourages the 12 disciples to partake of it. Okay. So I just quickly come to a question here in the chat. And this is about baptism. So sorry for the interruption in what I'm sharing about communion. So Charles is asking, so sprinkling is not baptism. Yeah, it has no biblical basis, Charles. Yeah. So in other words, no, it's not baptism. I hope that's clear. Okay. Yeah, let's, let's move on. So the Lord Jesus instituted the communion. And there was instructions, there were instructions given by Apostle Paul to the Corinthian Church on how to partake of the Lord's table. Now, one interesting thing is when you read the accounts of Apostle Paul, and his like, you know, the way he instructs the Corinthian Church, you will also see that he says that he received revelation about communion, basically from God. So we know that he was never a part of those 12 disciples when Jesus was around. And so he never saw Jesus do it. So also he never really spent that much time with the apostles in Jerusalem for him to learn everything about their practices. And he says it, he says it himself, that I have received by revelation. So by revelation, God gave him the understanding about the holy communion and based on that, he instructs the believers. So what are some of the key things about the holy communion that we must understand? Now, the holy communion is one's expression of their personal faith in the death, the burial and the resurrection of the Lord Jesus Christ. So every time we partake of it, you know, it's not just an act or it's not just a ritual that the church follows, but it's an expression of my faith. Each time I partake of the holy communion, I'm saying, I believe, I believe in what the Lord Jesus has done. No, I believe that he has died for me on the cross. I believe that he has a covenant with me. I believe that I'm a recipient of that new covenant. I believe, you know, that the blessings of the cross have come upon my life. So it's an act of faith. It's an expression of faith in communion. So it's really important. It's really important. We would also say that communion, it's a proclamation of our faith in the completed work of the cross. So what we are saying is what needed to be done for us since to be forgiven, what needed to be done for us to receive abundant life, the Lord Jesus has already done it on the cross of Calvary. There's nothing additional that needs to be done to buy our salvation. So we proclaim that. So when I'm partaking of the holy communion, I'm saying, you know, the cross is enough. The cross is our victory. The cross is the power of God. You know, the cross is everything. And you know, the cross demonstrates God's love for us. So basically I am proclaiming through my act that I believe in the Lord Jesus. I believe in the work of the cross. So that is the meaning of partaking of the holy communion. Now Jesus also said, you continue to do this till my return. So when we partake of the holy communion, just as much as we put our faith in what he has done on the cross, we are also putting our faith in the fact that he is going to come back. He is going to return for us. So in other words, we're seeing that this act is an expression of faith. This act is a proclamation of what the Lord Jesus has done. This act is also expressing that we are one with God. We are one with God. We have a communion with God. Communion is nothing but fellowship. This is nothing but fellowship. When we look at the tabernacle, one of the pieces of culture in the holy place was that showbread table. And on that table, there was bread. And that is symbolizing God's desire to commune with man or God's desire to fellowship, have a relationship with man. So again, when we partake of the holy communion, it is like us expressing that union with the Godhead, with Jesus, with the body and the blood of the Lord Jesus. This is based on 1 Corinthians 10, 16. We can also express our communion or our relationship with the body and the blood of Jesus. So we are fellowshiping. We are fellowshiping with God and we are saying, I'm one with God and one with God. Then we are partaking of the holy communion. Now the holy communion is also an expression and a confession that we are a part of the body. 1 Corinthians 10, 17 says that we are a part of the body. So we are saying, in other words, so far all the statements that I made, those are confirming that we have a personal relationship with God. And we have communion fellowship with God, a deep communion with God. So they are talking about a union with God. But the holy communion is also an expression of, the holy communion is also an expression of our communion with other believers. Because what they're saying is, we're saying that we are part of the body. We are part of Christ's body. And there are others who are born again who are also part of the body. So we are saying that we have coveted to unity in the body. We're coveted to honouring the other members of the body. So it's about our communion with God. And it is about our communion with people and believers, those who are in the body of Christ. So that is the meaning of the holy communion. Yeah. And therefore, it gives us that we have this responsibility towards God and towards the people. So the way we live, the way we keep our relationships with others in the church, in our fellowship, all the fellowships that we are a part of, you know, it matters because when we are partaking of the holy communion, we are saying that we're coveted to the people of God as well. So that's about the holy communion. Now, we're also told that, yeah. So another point that I just want to add to this is, see, every time we talk about the cross, it's powerful because we're speaking of our victory. We're speaking of that overcoming, you know, that the crosses are accomplished for us. We're speaking about the authority that you and I can walk in. So it's extremely powerful when we consider the cross or we talk about the cross. And just in line with that, when we are partaking of the holy communion, it's extremely powerful because we're talking about the victory of the cross. So at partake of the holy communion, what really happens? Every step of obedience brings God's blessings. So when I'm partaking of the holy communion with the understanding of what this means for me, the blessings of the cross come upon my, you know. So that is why we've heard so many testimonies of people partaking of the holy communion. Somehow, you know, that one act of obedience, that one act of faith, to release this breakthroughs, people say, hey, I got healed. I was oppressed by, you know, some demonic spirit I was set free. I had this financial difficulty and, you know, I received a phone call, you know, sort of like almost immediately after I partake of the holy communion by faith. So a lot of breakthroughs, people testify with that. And we can expect, in fact, every time we partake of the holy communion, we can expect the supernatural power of God to manifest, the victories of God to manifest in our lives, you know, the provision of God to come, you know, breakthroughs to be released, deliverance to happen, healing to happen. So God has, God is really meant for communion to be that act, you know, that releases the power of the cross upon our lives. So it's never really do this, never partake of the holy communion in a light way because there is so much that has been promised as we partake of the holy communion. And another thing that I want to add here is, you know, some people believe that when one partakes of the holy communion, the elements, whatever elements people use, some people use bread, some people use wafer, some people use grape juice, some people use actual wine, you know, some people just use water. Here in India, if there are local churches that cannot afford to buy bread or to buy wafer, they just use a regular bread like a chapati or something like that. You tear that and you pray over it and you consume it as communion. Now, do those materials turn into the body and the blood of Jesus because there is a concept called as transmutation where people believe that those whatever you're taking in as communion, it really becomes the body, it really becomes the blood of Jesus. The scriptures don't really tell us that, that we don't have to worry about it. It's an act of faith and if whatever we are consuming, the way to do it is you will see, you sanctify it, you bless it. Paul writes about it, you sanctify it, bless it and then you take it by faith. So that's all. That's how it is done. It's quite simple. Paul also instructs, I'm not reading those two passages but you could go and read it. It's given 1 Corinthians chapter 10 and 1 Corinthians chapter 11, the portions regarding communion. There are a couple of instructions that Paul gives there. He says that one must partake of the Lord's table in a worthy manner. So what does it need to partake of the Lord's table? Communion is also known as the Lord's table because when you eat at the table you're expressing your relationship with somebody. So it's the Lord's table. He says that one must partake of it in a worthy manner. So what does he mean by that? We know that the Corinthian church, he was trying to instruct the Corinthian church for right living. They were people who had come from a pagan worship background and it is likely that some of them continued to eat the food which was offered to idols as well as partake of the holy covenant. So basically he was saying that you cannot partake of both. You have to be committed. You have to be committed or you need to completely pledge your allegiance to the Lord Jesus. You can't put your food there and here as well. So make up your mind. So in that context he says, okay, partake of it in a proper way. You can partake only of the holy covenant and you cannot just go and also express your commitment to other gods as well. So that was one reason why he told them to do it in the right way. The second reason is that the people, the Corinthian church when they would come for the holy communion, apparently it would be something like a feast and people will get drunk. Those days there was no limitation on how much bread and how much wine one could take. Today for the sake of just to have a format that's easy to follow when crowds of people come in, the church has made the consuming of the communion elements as small portions.  But in those days people would get drunk and knew that that is dishonoring. They were actually dishonoring. So he tells them, if you really want to eat and enjoy, you do that at home. The communion is not that. You need to have a reverent heart because try to understand. You're proclaiming the death, the burial and the resurrection of the Lord Jesus. You're proclaiming the victory of the cross upon your life, upon the powers of darkness. So it's a powerful thing that one is doing and we must honour the Lord Jesus for what he has done for us. So in that context, he spoke about us doing it in the right way, doing it partaking of the holy communion in a worthy manner. So yeah, we need to bear this in mind. And again, when you talk about the prerequisite for the Lord's table, it's only for a believer to be, only for a person to be born again. So as long as one is born again, they're invited to the Lord's table. We don't see specific instructions that say, one has to be baptized to partake of the holy communion or one has to be baptized with the Holy Spirit to partake of the holy communion. You can just partake as long as you are sure that the person is born again. So here again at APC, we say that if you are a believer of the Jesus Christ, you're welcome to partake of the holy communion whenever we are having the holy communion, which is generally the first Sundays. That's how we practice here. The first Sunday of the month is the communion week. And yeah, so it's done in that manner periodically. So that's a little bit about the holy communion. Again, if we have questions, we can discuss them, any doubts or comments from your end. I'm just looking at the chat here. Okay. So Samil is sharing an article supported with the Holy Communion, that sprinkling is not bad. And Diva comments that people have who support sprinkling as the Holy Communion. Okay. Yep. Thank you. Thank you, Samil. And Charles, you could probably report to this article as well. Yeah. Is that okay, Charles? I didn't hear from you after you asked the question. So I'm wondering whether you're on mute. It is okay. It is okay. Okay. Yeah. I was, I was baptized twice because first was sprinkling. But when I believed when the Lord Jesus Christ I, I had to go for immersion to declare my obedience and the, and the submission to the Lord Jesus Christ. Yes. Yeah. Yeah. Thank you, Charles. So even that is what is important. Our submission to the Lord Jesus. Okay. So even if, you know, one is in this case, Charles is saying he was sprinkled with water as baptism. But even if an individual has been immersed in baptism, but at that point one was not a believer, no, which has happened to a lot of people because just as in some of the churches, you know, you have these ordinances that one needs to keep. Okay. A part of the Holy Communion, be baptized, then something else, something else, something else. So it's just very, very, sort of, you know, it's just part of the ritual. You need to do certain things at certain points in your life and one does all of that, but that doesn't make one a believer. So let's say somebody has been through immersion baptism, but it's only later that they are born again. They would need to be baptized once again, because baptism is also an act of faith. So without faith, when one is baptized, it doesn't count. Okay. So if one is sprinkled baptized or immersed in baptism, but they were not a believer, it needs to be done again. Okay. And yeah, any other questions or thoughts? So again, for both water baptism and communion, age, if we talk about the age limit, as long as some, you know, that child is conscious that they are born again, they have committed their life to Jesus and they're going to follow the Lord Jesus. It's their decision and they fully understand what they are talking about. They are born again. They can partake of the communion. They can also be water baptized. So there's no age limit. It's hard to tell what age one must be to partake of these ordinances or practices. If there are some good questions in our notes so you could go through that and it answers some common questions. So let me quickly see if there's something different here. Okay. Can a believer baptize another believer? What do you think? Can a believer baptize another believer or should it only be the elders or the pastors who must baptize? Well, I know that I think from the scripture that a believer can baptize another believer. It doesn't mean that after the elders are the ones that can do it. Yes. Yes. Thank you, Isaac. That's very correct. In fact, we have examples that is was that Philip? Yeah. Philip, who was a volunteer at that point, you know, he's not called evangelist yet. And Philip baptized the Ethiopian nun. When God called the believer in Damascus, Ananias to come and pray for, you know, to be apostle Paul. He was just a believer, ordinary believer. He comes. He prays for a soul and then he baptizes all. So these are just believers, Philip and Ananias. So, you know, it shows us that yes, believers can baptize other believers. Yes, Charles, you have something to say? Yes. A believer, who is the pastor? Isn't it the pastor believer? That is the first thing for someone to be a pastor. Must be a believer. So a believer baptizing a believer, that is the right thing because I will not go to which doctor to baptize me because I don't believe what they believe. Therefore, a pastor is a believer. Then he will baptize another person who has not yet been baptized. So I think that is the right track to have a believer baptizing a believer. Thank you. Okay, sure. Yes, thank you. Thank you, Charles. And on similar lines, Samuel says, yes, believer can baptize Kennedy. Yes, and Anita also. Yes, so yes, believers can baptize. If there is an opportunity for a pastor to baptize, great. If not, if there's, you know, just a believer around by faith, one can baptize another believer. Now, also the question here says, what if one partings of the communion in an unworthy manner because, you know, Paul says that like you check yourself, examine yourself before you do this.  So it's a warning. It's a warning. So people ask the question, what if I, if I did something, you know, against God and then I part of the holy covenant, will I be struck dead? Well, we don't see things like that happening under the new covenant, you know, there's just more grace extended to us. But still, you know, we must examine ourselves and we must confess our sins. And this is not to create fear in our hearts. If at all we are aware of something in our lives which God is not pleased with, before we partake of the holy communion, in true repentance, genuine repentance, we can say sorry, and then partake of the holy communion. So we can keep it as simple as that. And that should be alright. Okay, now the other question here that has been included in the notes is, should I partake of the Lord's table? If the one ministering it does not have faith, something that Charles said just now, a believer baptizes a believer that makes sense, because both believe. Now similarly, when it comes to communion, what if the person administering the communion does not have faith? You know, sometimes it happens that if, you know, I've gone out of a city, I've gone to a particular place, and I don't find a church, I want to attend the church and I go someplace and for whatever reason, I feel like, okay, you know, maybe the person who is doing the, leading the communion themselves is not believing in it or something like that. Then how, can I partake of the holy communion? The answer to that is, see, faith on the part of the one ministering the holy communion is very important, and we should, you know, look for that. But in case, you know, one sees, like, suppose, you know, it's a traditional church and the person that sells is not born again or something like that, then what do you do? But they are administering the holy communion. So in a situation like that, you know, when we are given the elements, we can pray over it by faith and we can take it. The main thing is faith. There's no faith in the act of communion. Then it really doesn't help. So this is the right way. So how to partake of the holy communion in the right way, to have faith when we do it. So just, you know, some clarification there of how to go about it. Now the other question that people generally ask is, can a believer take part of the Lord's table at home? Okay, so I think people have been asking this question more recently because of COVID, you know, unable to go to church, unable to have gatherings. In fact, I met some students, like, you know, we have some of these students who used to minister too. So once in a while, I just bumped into them and they were telling me how they had not, because of COVID for like six months or seven months, they never took communion because they couldn't go to church. And they believe that only pastor has to pray and give it. Only then they will take it. So yeah, a lot of people believe that. So what is our opinion on that? Can one partake of the holy communion at home? Will it be valid? Okay. Yes, yes, yes. Okay. So Christopher says, yes. One example is the Book of Acts. We see about the early church that they broke bread. It says they broke bread house to house. So that in itself, you know, gives us the clarification. So they had the gatherings in the temple, but they also had these house meetings. And they did partake of the holy communion at home. So that gives us confirmation that it's okay. Won't make our communion invalid. So those are all some of the common questions that arise. And I think we've touched on it. If there are no more questions, then we can directly proceed to the next chapter here, which is about church discipline. Any thoughts? Okay. Yes, Christopher. So Christopher is asking, can we celebrate a lot stable, more regular basis, like daily basis? Yes, we can. Because again, if you look at the Book of Acts, it says like, you know, they met house to house, broke bread daily. So the frequency has not been prescribed for us. Like it's not like a set to a set frequency. So yes, we can. If you would like to partake of it on a daily basis, no, a lot of people talk about it, you know, personally, they, they have communion every day. It's up to each person's conviction and belief. So if you have the faith to do that, then yes. Yeah, Charles, please go ahead. Mine is like we have denominations, maybe Baptists, and then we have Anglican and we have Catholics all believing about any, the Holy Communion. Can a Pentecostal and Anglican have a Holy Communion with the Catholics? What's your say? So see Charles, we, when we explained about the Holy Communion, we said that one, this expresses our communion with God, it also expresses our communion with the body. So as long as people are born again, we can have Holy Communion. It doesn't matter which denomination one belongs to. I hope that answers your question. It does. Thank you so much. Yeah. Thank you. Yes. So I think all the key things have been addressed. So let's move on. We move on to the next chapter here, which is about church discipline. Church discipline. Then we're talking about the local church and raising up a strong local church, a local church which will fit into all the images, whichever capacity God has called each one of us. But now for all, practically, when we look at raising up this strong local church, we will have problems, we will have challenges because we are dealing with people. There can be external pressures and that has a way of us responding to it. But internal challenges, internal problems will also be there because we are here working with imperfect people and we ourselves are all so we can expect certain internal problems or issues or challenges to be there. Now, based on the word of God, we have to be prepared to address these matters as well. It's not a surprise. In fact, I've heard pastors say that if your church is like a 30-member church, it's already hard enough because you have to deal with 30 individuals. You're trying to work together with 30 people, you're leading 30 people, you want 30 people to be mature. So, if the church grows to 50 people, you can expect a lot of good things but at the same time, more challenges because you have an additional 20 people who are part of your congregation and similarly, the more number of people we have, it's a practical thing. We know that there are going to be challenges that could be issues, small and big. So, we have to be mentally prepared to address it. And there can be certain issues where people need to be corrected, people need to be disciplined. These are really hard and difficult things for pastors and leaders to do. So, let us just look at the most basic way of resolving an issue that occurs between believers or we could even call it a conflict. What if something happens between believers? How would a pastor deal with it? A very common passage is Matthew 18 that a lot of people know Matthew 18 verses 15 through 22 where we are instructed to first, if there is an issue, if two believers have an issue, the best way is for them to talk.  So, two believers can talk if there is a problem. Now, if that does not get solved, then one can have, one can engage another person or immediate somebody who will come and who will speak to both parties and try to make peace among other people. Now, if that does not work, then the leader of the church is to step in and that person needs to bring resolution to the matter. So, this is our common and a normal progression from Matthew 18 which we must follow. So, this is the most basic way in which a church leader can go about resolving conflicts. If you hear of two believers having an issue, then you could encourage both of them, hey, why don't the two of you meet? Why don't the two of you discuss? Why don't the two of you clarify and come to a resolution? If that does not happen, the leader can ask for, let's say there's an elder in the church or somebody who both these people respect. Okay, so that person, you can request that person. Okay, this is the thing that's going on. Why don't you sort of mediate and talk to both the parties and bring peace? If that does not work, then the leader can step in. Then this leader can step in and then the leader can try to bring resolution to the matter. So, that is our common way of sorting out the problems that may arise between behaviors. Now, all the issues that may come up, they're not that simple. Okay, this sorts out the matter well and good, but if it doesn't, if the issues are different and bigger in some sense, then there are more instructions that we have from God's word. So, what we'll do is since we have completed the time for the first session, let's take a break. We will come back at 10.02 and we'll continue and look at the other instructions we have for resolving conflicts. Thank you.


Hello and welcome to problem solving session on triangles Now the question says in the given figure Q2 Qt is perpendicular to PR. So let's understand the figure first So it's given that Qt is perpendicular to PR correct and what else TQR is 40 degrees. So you can see TQR is 40 degree here 40 degree and SPR is 30 degrees. So this is 30 degrees. We have to find out X and Y So convention is to write first given what is given. So all that Mentioned in the problem Q2 is perpendicular to PR and Angle TQR is 40 degrees and Angle SPR is 30 degrees. Okay to find what do we need to find? We need to find values of X and Y. Okay, so in triangle we know That the sum of three angles is 180 degrees and since in this given figure We have been asked to find out the values of X and Y which happen to be Angles themselves. So let's use the known fact that is sum of three angles of Triangle is 180 degrees and second one which is going to be used is Exterior angle theorem that is the sum of Interior opposite angles is equal to the exterior angle. These are the two things which we are going to use So let's solve this problem now If you see angle since since Qt is perpendicular to PR, okay therefore Cannot say that Qtp is 90 degrees a right angle Correct Qtp is right angle now if you notice this Qtp is the exterior angle Exterior angle and the interior opposite angles are these two. This one is one This one is two, isn't it? So guys, can I not say that angle Qtp is equal to Angle TQR Plus X and why can I say this? This is because Exterior angle theorem Isn't it? Right, exterior angle theorem Very well. So Qtp is 90 degrees. We already know so 90 degrees TQR is 40 degrees. So 40 degrees plus X So very very straightforward now. So what is X? X is 90 degrees minus 40 degrees Which is 50 degrees. So we got the value of X. Now, let's find out the value of Y So again, if you look closely For Y if this is Y this angle is this Y. This is Y Then interior angles are X and this 30 degree, isn't it? For that triangle or that angle P sq. So I'm saying Angle P sq is equal to Angle SPR Plus Angle PRS Is it? Why is this again? because of Exterior Angle theorem Sum of interior opposite angles is Exterior Angle. Correct. So P s Q Right, so that is Y. So Y will be equal to 30 degrees plus X Because SPR was 30 degree you can see from the figure and X we just found out which was 50 degrees So it becomes 30 plus 50 degrees hence Y is 80 degrees, right? So that's how we found out both X and Y. So X is 50 and so to summarize X is equal to 50 degrees and Y is 80 degrees. So we did not require The angles some property in this case Is it it? You could have used it if let's say the question and asked you to find out this angle Right, then angle some property would be used. So let's say this vertically opposite angles if you have to find out Then angle some property could have been used. Okay


So it's a great pleasure to be here. I always have a lot of fun when I come to Brazil, and it's one of my favorite places to go to. So now I'm coming virtually. I want to start by saying that, you know, right now, these are difficult times. And I think we should make no mistake by skipping the part that is difficult, the survival part, which I think is hitting all of the countries here in Switzerland where I live.  And of course, in Brazil right now, we're looking at, yeah, it's pretty much the peak of things. So I feel with you there, and I just want to tell you to hang on and do your best and stay safe. And maybe my speech can help you find some hope in the future. So really what's happening I think right now is that our program has become disrupted. Our everyday routine has become disrupted. The channels are no longer working. The narrative is changing. And everything that we thought about just a year ago, half a year ago, is different. You know, take my own work. I used to fly all over the world, 300 flights a year last year, crazy. And now I'm sitting here looking at the camera. And our whole business is changing. Everybody's pivoting, right?  Cloud Schwab from the World Economic Forum talked a lot about this two weeks ago in this event called the Great Reset. I really do think this is the Great Reset. And there's many great things about it and many very difficult things. What we need to do right now is survive, collaborate, have solidarity, help each other. And these are very human things that are coming to fruition now. But make no mistake about it. The program is changing. We're not going back to normal. And many of us would say that normal wasn't good anyway. We are going back to a new world. And I'll tell you about what that entails and what my hunches are. And also I want to say in the beginning that as a futurist, I don't really do predictions. My job is to feel what may be coming. To develop intuition, imagination, observation. I think everybody in the futurist community would agree this is really our skill, is to kind of observe and learn. So let me start with this statement from Milton Friedman, the economist, the famous economist who is in fact not very often quoted by me, but I'm quoting him now. And he says basically only a crisis produces real change. And when that change happens, the actions that are coming out of it depend on the ideas that are lying around. So in many ways you could say the corona crisis is amplifying the good things in us and it's also amplifying the bad things. So whatever was bad before, it's probably worse now, especially in Brazil I would say or in the US or many other countries. But we're looking at a really different scenario here where we can safely say, economic growth, the idea of what's happening with economics, we can say, well, we don't know what this crisis entails. Will it come back up very quickly? That's not very likely. Will it be in L shape, stay down and stay down forever? What's going to happen there? And it's pretty safe to say I think at this point the future is probably less certain than ever before, more uncertain. And we have to live with this. We have to develop the mindset of constant agility and the mindset of being ready for anything. One thing that's happening and that's really striking, I won't fade myself out here again so you can see this, income inequality, generally inequality goes hand in hand with the rate of infections. And there's been a lot of studies on this, and I'm likely saying, for example, in the US, which I show shortly, is that the more inequality there is in the country, US, UK, Brazil, maybe Russia, the more inequality there is South Africa, the more people are suffering from the virus. There's a direct relationship between the two. And so this is a really, really important issue that we tackle inequality. Here you see the US numbers of infections. Basically it's up and not going down, policy is a total disaster in the US and here is Brazil, right? They can safely say it's probably just getting started. This is something we really have to look at. And that requires a lot of thinking about your own actions, collective actions and so on. I mean, we're talking about quite significant change in the lives pretty much across the board. There's a great message from UN Secretary Antonio Gutierrez, who talked three weeks ago about what is happening in the sort of dysfunctional system that we may be having here. I do hope you can hear the audio, I'll give it a try. There is an effective dysfunctionality in the way all this is happening. You can't hear the audio. We have not a global governance system. Of course the World Health Organization is the one authority on health. They have issued guidelines, but many of the countries have not respected them or sometimes they do, sometimes they don't. The only way out is through effective international cooperation. And I believe the G20 can be the nucleus of that international cooperation aiming at acting together in an articulated way. But look, I mean, this is not only the COVID-19. If you look at peace and security, I mean the relationship between the biggest powers have never been as this far. I'll skip the rest of this because it's an important speech. You should look it up on YouTube. But basically he is saying that it is up to us to collaborate to deal with large things like this. And this is not the first one and it's not going to be the last one. After the COVID virus, there'll be other pandemics, there'll be issues about global unemployment, technological unemployment, food, water security, extraterrestrials, you name it. We have to learn how to collaborate. That is really what's happening. And so I came up with this graphic with my team. The graphic shows that we are in the time of great transformation. We are in a time of where everything that we know is being shifted. And we have to look at it this way. We're not going to go shift back to what it was before. If you look at the globe again earlier, it was at the bottom of it now, we have airlines, the worst business to be in, cruise ships pretty much dead, oil and gas sinking. And at the top of the pyramid, who are the winners? Healthcare, technology, healthcare all across medical services, of course, right? Genetic engineering, government, the entire shift in this great transformation. So I always say it's really sort of the great transformation is really in crisis and an opportunity, it's both. And we have to start looking at the opportunity. We have to deal with the crisis and look at the opportunity. I think that's our real challenge. And I want to get to an important point here. I've been doing this speaking roughly for 20 years and I'm so happy that in the last couple of years, I found some really amazing women around the world who are joined my team like Jacqueline and many others. And we can safely say now in this Corona crisis, it's the women, the female leaders who are showing the way. Whether it's in Norway, in New Zealand, in Denmark, in Iceland, in Taiwan. It's women and it's younger women. And I think this bodes well for the future. But what about Brazil? What's happening with Brazil in that regard? I don't know. I'm hopeful that will be something. I'll give you a nice quote here from two women. You should take a look at this. We are at a defining moment for the European Union. But I'm confident the past weeks have shown that there is a growing awareness of the need to invest together in the European common good and to do this by laying the foundations for the well-being of Europe's next generation. And I always think where there is a will, there is a way. Yeah, that's Ursula von Leinen from the European Commission, President of the European Commission. Amazing, right? What she's talking about here. To where there is a will, there is a way. I'll give you another great example. This is Jacinda Ardern, Prime Minister of New Zealand. If I could distill it down into one concept that we are pursuing in New Zealand, it is simple and it is this. Kindness. Now imagine a man speaking to you about kindness. I mean, I do try to do that. But I think this is a really interesting story. Female leaders are taken over. I see the future with women. I see the future with EQ. Men don't have IQ, you know, I try. But this is clearly where things are going. It's a really interesting outcome from this whole debate about where this world is going. I also think that we're moving away from this concept of what I call ego systems. I tried to write a book about this 10 years ago. It became part of my other book now. But it's about companies and states that think they can keep stuff to themselves. In many ways Facebook has become such an ego system. It's all about them. It's not about us. We're just fodder for their data. And that's the past. It will not work. You cannot solve problems like climate change, food, water, security, all of those issues together.  I mean, this is completely obvious. The companies that build strong ecosystems, like Salesforce, they're coming out ahead. And of course technology companies have built both ego and ecosystems depending we look at. But ecosystems are the future. Building stuff that hangs together, building empires together where everybody is involved in building a little piece of it. So take for example Airbnb, which in my view is an ego system, versus say Salesforce or other companies who are trying to help. We're going the extra mile right now to help us make it through the crisis. Let's talk about ecosystem. If you can, rebuild and pivot, build.


By now, I am sure that you've heard of the nonsensical criticism that we've seen from centrist Democrats, third-away Democrats like Abigail Spanberger, who claim that the reason why Democrats underperformed polls is because the left, supporting policies like Medicare for All and Defund the Police, that hurt other Democrats. Now it's interesting to me because Democrats who support Medicare for All, even in red districts who were incumbents, they won their races. It's only the more centrist Democrats in these swing districts who had a more difficult time winning re-election. So what she's saying is absurd and it's demonstrably untrue. And thankfully someone who is going to be going to Congress very soon, Jamal Bowman, was asked to respond to her comments and he shot them down and what he said was phenomenal. I want you to listen here. One of your new colleagues will be Abigail Spanberger. She's a moderate and a centrist from a district that President Trump had carried before. She won re-election, but a couple of her centrist friends lost and she's not happy and she claims progressives. Listen. Not only did we not win the Senate, but we lost House seats that we shouldn't have lost in my opinion. Great members who were focused on the issues that matter to people and had voted on issues that mattered to people. And what I expressed to my colleagues is this is a place where we need to do an after-action report about how we thought what would happen was so different from in fact what did happen. She says one of the problems is Democrats who push for defunding police. One of the problems is Democrats who identify as Democratic socialists. Do you agree? I disagree. You have to run your race in your district in response to the needs of the people in your district. And if you're responding to their needs and if you're building relationships and making connections and doing everything you have to do, then you should be able to win your race. This is about deep authentic relationships. This is about transformational politics. And I disagree that someone running on a different platform hundreds of miles away is going to impact what happens in a particular race. So I disagree. I agree with the need to do a thorough analysis into why certain candidates won in particular districts and why others did not win. I think that's very important for us to become a data-driven Democratic Party. But I disagree with the notion that it's the fault of progressives, especially when you look at how much progressives organized across the country to help Joe Biden win. And I think you will organize to make sure we win the two Democratic Senate seats in Georgia. And so those two Democratic seats, the two seats in Georgia will decide which party controls the Senate. We're a little TBD on that one. But in any event, it'll be narrowly divided. You've lost a little bit on the House majority. You will be a new member. And again, congratulations. But Nancy Pelosi, if she's a re-elected speaker, which we assume, will have a smaller majority. So when Joe Biden meets with you all in January and says, look, thank you, number one, we share goals, but we have to trim our sales a little bit. We can't sell Medicare for all. He wasn't for it anyway. We're going to try to do a modest build on Obamacare. We can't do as much as you would like to do as fast as you would like to do it on climate change. We have to trim our sales there. Are you going to say I get the math? Are you going to say no, Mr. President? You won. Push it. Be bolder. Well, we've already been pushing throughout the Biden campaign. I mean, it was a Biden-Sanders coalition that made climate change a central focus of the Biden campaign. There was a Biden-Sanders coalition that made racial equity a focus. And President-elect Joe Biden and Vice President-elect Kamala Harris focused on universal child care and early childhood education. So we have already begun to work in collaboration with the White House to make sure our progressive policies are on the agenda, and we will continue to work in collaboration with the White House and our colleagues in Congress. We have to. That is our mandate from the American people. The American people support Medicare for all in overwhelming numbers. The American people support a reallocation of resources from how we look at public safety now, which is additional police, to how we should look at public safety, which is food security, housing security, job programs, and fully funding education. So we're going to continue to have these conversations around the Thanksgiving table, as you mentioned, because we have to be responsive to the American people and the American people who came out for Joe Biden and pushed him over the top in Detroit, in Philadelphia, in Milwaukee, and Atlanta. These are majority urban centers of color. They came out and helped Joe Biden win his election. So we have to be responsive to that. That's great. And I'm really excited to see what he does in Congress. I don't agree with him on everything. I think when it comes to Israel-Palestine, I mean, we're going to have to push him on that issue. Most issues, economic issues, when it comes to health care, he's a progressive, and I think that he is going to be impressive there. It's just a matter of whether or not he'll challenge party leadership. But he basically rejects this premise that left us are to blame because to accept that notion, to accept what Abigail Spanberger is saying, you know, what someone does in one district has to have an impact on another district. For her to accept that, she has to accept previous attacks on centrist Democrats that Republicans have used, like Nancy Pelosi. Not even former attacks this cycle. Republicans attacked Nancy Pelosi for being an out-of-touch coastal elite with two $12,000 refrigerators. Why is it that that attack didn't help sink centrists, but the left and them pushing for very popular policies like Medicare for All did sink centrists? Like the logic doesn't make sense. It's like she's cherry picking what hurt Democrats in a way that helps to validate her third-way centrist narrative, and Jamal Bowman did not fall for it, which is great. He also says, you know, he's going to work with the Biden administration. I expect him to do that. You have to. But the goal is you don't sacrifice your principles in working with Joe Biden under the guise of compromise, because you can't roll over and die. And he basically made it clear he's not going to back down when it comes to Medicare for All and defund the police. Because guess what? These issues, they're not just health care issues and criminal justice issues. Medicare for All is a racial justice issue. It's an LGBTQ plus issue. Defund the police is an economic issue. These are all interrelated issues. And you can't just abandon the people who helped you get elected, people of color, because you think that these policies are like too bold or too out there. No, that's not the way that it works. Like if you want to lose elections, then sure, go ahead and move further away from these policies. But I don't think that Republican should be emboldened as far right as they are. So you can't just run away from these policies. It was people of color, native communities in Arizona who helped get Joe Biden across the finish line. So the Democratic Party can't just say, oh, well, you know what? For these races that were in swing districts, it was the left at law. So we can, we have to abandon them. What victories you had were secured because of people of color. So you don't just abandon them after the election. Now, unfortunately, that's what the Democratic Party has been doing. So you can't do that. And people like Jamal Bowman are saying the right thing that, no, you have to deliver for these communities, deliver for these communities. Otherwise, you're going to keep losing. So I mean, it's nice to have another voice in Congress saying common sense things like this. And I hope that most people don't take what Abigail Spanberger says seriously because this is a corporate backed, third-way Democrat who would rather probably be an opposition candidate because, you know, she doesn't want to deliver if Democrats had control of all branches of government. Individuals like Jim Clyburn and Abigail Spanberger, they would actually have to deliver. And they know that their policies aren't popular. And they know that they actually want to appease the base. They would have to pass policies like Medicare for All. But then that's going to conflict with what their corporate donors want. Their health industry donors don't want progressive policies like Medicare for All. Their private prison industry donors don't want them to end private prisons and defund the police. So they pretend as if their strategy is actually the more electorally viable strategy. And they pass it off as them just being more savvy than us in the mainstream media when in actuality, if you look at how well progressives fared in this race, every incumbent progressive won their election. So I think that, you know, what they're saying is demonstrably untrue. And the quicker we get more voices like Jamal Bowman in Congress, the better off we will all be.


The following demonstration is for informational purposes only, please do not attempt. What happens when you drop your VapCap? When it hits the concrete, how much damage will it endure simply falling out of your hand? How hard does it have to hit or get hit to stop working? We conducted six hard drops in sudden stops with our 2020 M to see what kind of practical and impractical abuse our stainless steel vaporizer could sustain. We'll show you the damage and whether they live to click another day on this episode of Exploring the Dinoverse. Begin, I dropped our 2020 M on our Studio Concrete just to see what happens and it now has a small character mark which in no way affects functionality.  Now let's speed things up. Biddy Ben brought his bike to work and dropped the M at about 15 miles an hour. And we're off. We're gaining speed and oh he dropped his VapCap onto the pavement. It inherited a few dents, maybe a little scratch, but really nothing that affects overall functionality. So we added some more speed. We doubled the speed and dropped our 2020 M out of a vehicle. There's the cap coming back into the frame and bouncing back so we can still keep side of it. The cap looks a little damaged. I wonder if it still worked. Seems like it took a pretty nice little impact there. So far we've dropped our VapCaps in three different situations. But what happens when an object falls onto our M? A little 18 inch crescent wrench just happened to fall off of our workbench and landed squarely on our 2020 M. It did leave a little kiss mark, but other than that I think it survived. For our next experiment we fired our M with a slingshot into a storage container. Three, two, one. The results were not nearly as devastating as we're anticipating. There is a small dent on the mouthpiece and there is a small exchange of paint in the process. But we'll take a closer look after our last experiment. We applied some heat and pressure and made an M out of M's in our parking lot. And here's one of them. So how much abuse can a little 2020 M really take? The drop onto concrete just from a standing condition produced a few small dents on the end of the cap. Nothing to affect calibration or overall performance of the device. The stem looks fine, nothing of real significance anywhere other than on the cap because that landed first. Clicks fine. Our M dropped from the bike. A little bit more of a ding on the mouthpiece end and some slightly deeper dents in the end of the cap. But again, nothing I'd be terribly concerned about. Brush off the dust and again still completely functional. Cool down click. Normal. This one dropped from the car at about 30 miles an hour has the most significant dents out of all of our experiments in the cap. Minor dents in the mouthpiece. I wonder if this cap still works. Heat up click. But I think this one's cool down click is a little bit delayed. It clicked once. This cap is not as happy as the other caps. When you see dents this bad the likelihood of your cap being out of calibration are pretty good. So if you're familiar with your device and just doesn't seem to work the same you might want to replace your cap. Otherwise if it still works it still works. Our device shot from the slingshot had again a little bit of a dent and a little bit of paint transferred right here in the mouthpiece and another little bit right here. But other than that it seemed to hit the metal in a pretty flat orientation and definitely survived. There's no significant damage or dents to the cap so this cap is in perfectly functional condition. No apparent damage should heat up just fine. Sounds good. And cool down click. And when we look at this one kissed by the wrench. Tip was kind of knocked a little bit out of position. We can see our little kiss mark right here. But see if we can push it back in. Yep popped right back in. All in all looks like this one has survived and is in perfectly fine operating condition. And finally the one that was heated and pressed into the pavement. Got a little bit of tar on it. There's a few more dents in the cap. Let's heat it up and see if it still works. Seems like the cap still clicks. Takes about the right amount of time to heat up. But something to keep in mind. When your cap is dented it can throw off the calibration not just on the heat up. But also on the cool down. So if it seems like your cap is taking an unusually long time to reset or click back for your cool down click. It may be time to replace it. It seems like this tip was a little bit loose. But it fits right back in. Stem is effectively undamaged other than some tar. Cap is still within calibration. Got a nice little dent right here. So it's not going to stand unless we put on a magnet. In conclusion. The DynaVap M is a rather durable product. It can handle a drop to the concrete. Even falls from a moving bike and a car. Sustained impact from a heavy tool. And even endure being slammed into a metal wall fired from a sling shot. When the dust settles and the tar cools. It appears the 2020M can even survive being pounded into the hot pavement. And in most cases of general abuse all you'll potentially need to replace is the cap. What kind of abuse has your VapCap endured? Please submit your photos and videos of your unintentionally damaged device to our submit photo page on our website. And as always please leave the intentional destruction to us. Check out some of these other videos for more information on other cool things.


This research paper examined the effectiveness of using remote sensing data to improve flood prediction models. It found that the use of remote sensing data improved the accuracy of flood predictions, particularly for short lead times and imminent floods. Additionally, it showed that the use of remote sensing data in conjunction with distributed discharge observations provided the greatest benefit. This article was authored by N. Wonders, D. Carsonberg, A. Daru and others.


Tragically, more than 90 lives have been lost on Victorian roads already this year. CFA responds to thousands of motor vehicle collisions every year, often on country roads. We see the trauma and the heartache felt by communities because we are part of those local communities. This week is Road Safety Week and we're asking everyone to think about every action you take when getting behind the wheel. Speed, fatigue, distraction. No risk is worth your life.


Hello and welcome to problem-solving session on triangles in this question it's given that ad is the bisector of angle a and BT bd is four centimeter DC is three centimeter and AB is six centimeter These are the info mission, which is given we have to determine the length of AC. So this is what? Okay, so let us say AC's length is X. I can always say and What's given? So let's do it methodically. So given is ad is the bisector ad is the bisector bisector of Triangle, sorry angle B AC now. This is good enough hint In terms of what exactly is to be done in this question. So ad is bisector, which is hinting that we have to use angle bisector theorem, right and what is to find? To find AC and I'm calling it X Right now solution how to solve this so by Angle bisector theorem In fact internally you should also write internal angle bisector theorem because we have also seen There is an external angle bisector theorem as well. So by angle bisector theorem and as I mentioned you can mention internal Right internal angle bisector theorem. We know that AB upon AC is equal to BD upon DC no problem in this so this implies AB we know this is six and AC is that's what we have to find out and BD is four and DC is three. I'm not writing the units because all the units will get cancelled So X becomes six into three upon Four now, this is two times three two times two. So this is nine by two nine by two that is four point five Centimeter very very straightforward question, isn't it just the theorem is given or the triangle is given One side is given and the two divisions made by the angle bisector is given You have to find out the other adjacent side. So direct application of Angle bisector theorem. I hope you understood this. So straightforward question Here is another question guys. It says AD is the bisector of angle BAC and AB is given 10 centimeter AC is 14. So let me highlight it AC is 14 a B is 10 BC is given as six. So this entire thing here is six and We have to find BD that is X and DC which is six minus X obviously So again What's given? So given is AD is the bisector by sector of Angle BAC Correct and because of that what will happen? We know by angle bisector theorem By internal again, you have to use internal Angle by sector Internal angle bisector theorem. What do we know? We know that AB upon AC Will be equal to BD upon DC, isn't it? So again a very direct question, you know So hence let's write AB as 10 because it's given as 10 AC is given to be equal to 14 and this is what X upon 6 minus X Right. This is what would be the relationship. So if you cross multiply you'll get 10 times 6 minus X is equal to 14 times X So from here, what do we see? We see 60 minus 10 X is equal to 14 X So if you simplify this will become 24 X Is equal to 60 so X is equal to 60 upon 24 so 12 times 2 and this is 5 So 5 upon 2 that means X is 2.5 centimeter that is BD is 2.5 centimeter. So clearly DC is equal to 6 minus X so it will become 3.5 centimeter, isn't it and just for the You know mentioning we have to mention X is equal to 2.5 centimeters, so these were the two demand of the question right BD and DC So we now know DC is this much BD is this much so hence done again in these two questions We saw it's very you know in the direct application of internal angle bisector theorem


I'm often asked, how can I be as cool as you? Well, you're either born with it or not, but even if you're not, there are things you can do to improve on what you've been given. Two things probably most important are speed and sound. Let me illustrate. A great move, boring. No speed, no sound. Now with the introduction of these two features, they somehow mundane act becomes quite awesome. There you have it.


The deputy commander of Russia's Ukraine campaign, General Sergei Surovikin, on June 23 urged the fighters of the Wagner private militia to give up their opposition to the military leadership and return to their bases. I urge you to stop," he said in a video message posted on Telegram. Another member of Russia's top military brass, Jen Vladimir Alexeyev, said in a video obtained by Reuters that the actions of Wagner PMC and its founder Yevgeny Prigazin as a stab in the back and a military coup. Earlier on Friday, the FSB security service had said comments by Wagner boss Yevgeny Prigazin bowing to avenge Moscow's purported killing of thousands of his fighters amounted to a call to start an armed civil conflict, the Interfax News Agency reported. It urged Wagner fighters to arrest him.