HJ=x+10, JK=9x, and KH=14x−58 Find: x, HJ, and JK

Question

need help finding x, HJ, and JK

Answer 1

By segment addition postulate HJ + JK = KH, so substituting expressions given for those lengths:

x + 10 + 9x = 14x - 58

68 = 4x

x = 17

substituting the value of x into the expressions:

HJ = x + 10 = 17 + 10 = 27

JK = 9x = 9*17 = 153