J is between I and K. If JI = 11, IK = 6 + x, and JK is 2x - 14, find JK

Answer 1

11 2x-14

I---------J-------------------K

<------- 6 + x ----------->

By the Segment Addition Postulate:

IJ + JK = IK

11 + 2x - 14 = 6 + x

Solve for x then plug that value of x into the equation for JK (JK = 2x-14).