M is between L and C. LM= 11, MC=2x+5, and LC=6x-6. What is MC ?

Answer 1

This is an application of the Segment Addition Postulate:

L-----------------M------------C

LM + MC = LC

1. LM = 11
2. MC = 2x + 5
3. LC = 6x - 6

11 + 2x + 5 = 6x - 6

Solve for x, then plug that value of x into MC = 2x + 5 to find MC.