Question

suppose Q is the midpoint of PR. Use the information to find the missing value. PQ = 6x + 25 and QR = 16 - 3x; Find PR

Answer 1

38

Explanation:

A graph shows PQ = QR when x=-1 and PQ = QR = 19.

Then ...

PR = PQ + PR

= 19 + 19

PR = 38

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If you want to solve this algebraically, you can set PQ = QR:

6x +25 = 16 -3x

9x = -9 . . . . . add 3x -25

x = -1

PQ = 6(-1) +25 = 19 . . . . this is half the length of PR

PR = 2×PQ = 2×19

PR = 38