Question #130750

Suppose Q is the midpoint of segment PR. PQ = 2x + 1 and QR = 5x - 44. Find PQ.


Expert's answer

Given that Q is the midpoint of PR means,

PQ = QR


But, PQ = 2x + 1 and QR = 5x - 44


Hence we can say that,

2x + 1 = 5x - 44

3x = 45

x = 15


Thus PQ = 2*(15) + 1 = 31

PQ = 31

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