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Find the value of yif S is the midpoint of RT, T is the midpoint of RU,RS = 6x-7, ST = 3x+ 14 and TU = 4y+6.

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Did you draw and label the figure?
Since S bisects RT, RS=ST, so
6x-7 = 3x+14
x = 7
So, RS=35, and RT=70
Since T bisects RU, 4y+6 = 70, so y = 16

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