Point $Q$ is on a line segment between $P$ and $R$, as shown. If $P R=12$ and $P Q=3$, what is the length of $Q R$ ?

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-014.jpg?height=70&width=414&top_left_y=515&top_left_x=1300)
(A) 6
(B) 10
(C) 8
(D) 9
(E) 4
Since $Q$ is between $P$ and $R$, then $P Q+Q R=P R$.

Since $P R=12$ and $P Q=3$, then $Q R=P R-P Q=12-3=9$.

ANSWER: (D)