Question

point q is on line segment $overline{pr}$. given $qr = 10$ and $pr = 19$, determine the length $overline{pq}$.

Explanation:

Step1: Recall segment - addition postulate

Since point Q is on line segment $\overline{PR}$, we have $PQ + QR=PR$.

Step2: Solve for PQ

We can rewrite the equation as $PQ=PR - QR$.
Substitute $QR = 10$ and $PR = 19$ into the equation: $PQ=19 - 10$.
$PQ = 9$

Answer:

9