Suppose point J is between points H and K. If HJ = 6x - 5, JK = 4x - 6, and KH = 129, find the value of x and the length of each segment.

Answer 1

After you made your sketch, it should be obvious that
6x-5 + 4x-6 = 129

solve for x, then evaluate 6x-5 and 4x-6

Answer 2

thank you

Answer 3

x=14

Answer 4

correct, so the two segments are
6x-5 = 6(14) - 5 = 79
4x - 6 = 4(14)-6 = 50

note that 79+50 = 129