Question

if point K is between point J and between point B, and if JP = 4x - 10, KP = 2x + 5, and JK = 31, find JP

Answer 1

JP = 82

Explanation:

I believe the question should have K is between J and P ( not B ), then

JP = JK + KP ( substitute given values )

4x - 10 = 31 + 2x + 5 , that is

4x - 10 = 2x + 36 ( subtract 2x from both sides )

2x - 10 = 36 ( add 10 to both sides )

2x = 46 ( divide both sides by 2 )

x = 23

Then

JP = 4x - 10 = 4(23) - 10 = 92 - 10 = 82