Video Transcript
in this problem, you are asked to use the segment addition postulate and the easiest way to remember the segment. Edition Edition postulate is little segment plus little segment equals big segment. So in part one, you were Given the information that L. M has a measure of 22. An MN. has a measure of 15. And you have to calculate the length of L. N. And if we were to draw a picture, M is in between L and N. So we said little segment L. M plus little segment M. N. Has equal big segment L. N. And we know that L. M. is 22 and M.A.N. 15. So therefore L. N will be 37 In # two. We've got the same scenario, We have the measure of Ln two. B 54. We have the measure of L. M. to be 31 and we have to determine the length of M. N. So we're gonna use same image. So we could say L M plus M N equals L. N. And we know Ln is 54 And we know LM is 31 and you need to calculate Mn. So using an algebraic procedure, if we were to subtract 31 from both sides, then we are going to get the value of M. N. To be a length of 23. And then in problem # four, you were given an image this time and the three points on that image were D. E and F. And you were told that E had a length of 47 and you were informed that E. F. Was a length of three X plus 10. And if I were to use the segment edition postulate, I could say that little segment E plus little segment E. F. Was equal to the larger segment or big segment of D. F. You were also informed that D. F. Was the expression nine x -39. We know that e. 47 and E. F. is the expression three x plus 10. So if I were to combine like terms on the left, I would have three X plus 57 Equals nine X -39. And using a little bit of our algebra, if I were to subtract three X. On both sides, I would have that 57 is equal to six X -39. And then if I added 39 to both sides I would get that 6x is equivalent to 96. And then if I were to divide both sides by six I will find the value of X to be 16. But I still didn't answer the question. The question asked, what's the value of E. F. And we know that E. F was expressed by the expression three X plus 10. We just calculated that the value of X was 16. So When we substitute 16 in we are going to find or calculate that the measure of E. F is 58
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