Question

Actions: Suppose is the midpoint of PR. Use the information to find the missing value.

PQ = 2x + 1 and QR = 5x -44; Find PQ.

Answer 1

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As stated in the statement of the question, Q is the midpoint, so it divides PR into two equal parts: PQ and PR. In this case it is clear that PQ = PR

PQ = QR

2X + 1 = 5X - 44

3X = 45

X = 15

For PQ:

PQ = 2X + 1

PQ = 2 · 15 + 1

PQ = 30 + 1

PQ = 31

As PQ = QR, then

PQ = QR = 31

For PR:

PR = PQ + QR

PR = 31 + 31

PR = 62