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QUESTION IMAGE

q is between p and r, pq = 31, and pr = 81. find qr.

Question

q is between p and r, pq = 31, and pr = 81. find qr.

Explanation:

Step1: Use segment - addition postulate

Since Q is between P and R, $PR = PQ+QR$.

Step2: Solve for QR

We can rewrite the equation as $QR=PR - PQ$.
Substitute $PQ = 31$ and $PR = 81$ into the equation: $QR=81 - 31$.
$QR = 50$.

Answer:

50