Question

K is between P and Q. Suppose PQ=10x-16, PK=6x+8, and KQ=8. What is PQ?

Answer 1

Solution:

PQ = 10x - 16

PK = 6x + 8

KQ = 8

From the picture:

PQ = PK + KQ

10x - 16 = 6x + 8 + 8

10x - 16 = 6x + 16

4x = 32

x = 8

PQ = 80 - 16 = 64