Use the Segment Addition Postulate:
PQ + QR = PR
PQ + y-5 = y-4
Since point Q is a midpoint, PQ = QR = y-5:
y-5 + y-5 = y - 2
2y - 10 = y - 4
Solve for y. Once you know the value of y, PQ = y - 5

Philip P.
tutor
Solving for y, you should get y = 6. PQ = y-5 = 6-5 = 1
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04/14/21
Lacy O.
unfortunately not the right answer according to the homework, we cannot go any further until we can find the answer04/14/21