Question

point q is on line segment $overline{pr}$. given $pq = 16$ and $pr = 19$, determine the length of $qr$.

Explanation:

Step1: Identify the relationship

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

Step2: Solve for QR

We can rewrite the equation as $QR=PR - PQ$.
Substitute $PQ = 16$ and $PR = 19$ into the equation: $QR=19 - 16$.
$QR = 3$

Answer:

3