The point Q is not the midpoint of line segments PR
Line segments
PQ + QR = 72
5(x + 2) + 8x - 3 = 72
5x + 10 + 8x - 3 = 72
13x + 7 = 72
13x = 72 - 7
13x = 65
x = 65 / 13
x = 5
Therefore,
PQ = 5(x + 2)
= 5(5 + 2)
= 5(7)
= 35
QR = 8x - 3
= 8(5) - 3
= 40 - 3
= 37
Therefore, the point Q is not the midpoint of line segments PR
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