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Question

Find the value of y if S is the midpoint of RT, T is the midpoint of RU, RS = 6x + 5, ST = 8x - 1, and TU = 11y + 13.

Answer 1

RS + ST = RT

RS=ST as S is the midpoint of RT

6x+5 = 8x-1

x = 3

RS =23 = ST

RT = 46

RT +TU = 2(11y+3) = 22y +6 = RU as T is the midpoint of RU

RT=TU

RT =46 = 11y+3

11y=43

y = 43/11

RT = 11y+3 = 11(43/11)+3 = 46 = UT

RU = 2(46) = 92

Answer 2