Question

Point Q is on line segment PR. Given QR = 2x + 4, PQ = 2, and

PR = 4x – 10, determine the numerical length of PR.

Answer 1

PR = 22

Explanation:

Because point Q ∈ PR (∈ means belongs to), we know that PQ + QR = PR due to the Parts Whole Postulate. Therefore, using substitution, we can write the following equation:

2 + 2x + 4 = 4x - 10

2x + 6 = 4x - 10

-2x = -16

x = 8 so PR = 4(8) - 10 = 22.