Question

point q is on line segment $overline{pr}$. given $pq = 12$ and $qr = 3$, determine the length $pr$.

Explanation:

Step1: Recall segment - addition postulate

If point Q is on line segment $\overline{PR}$, then $PR = PQ+QR$.

Step2: Substitute given values

Given $PQ = 12$ and $QR = 3$, we substitute into the formula: $PR=12 + 3$.

Step3: Calculate the result

$PR=15$.

Answer:

$15$