Question

q is the midpoint of $overline{pr}$. if $pq = 8x$ and $qr = x + 7$, what is $qr?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up equation

Since Q is mid - point, $PQ = QR$, so $8x=x + 7$.

Step2: Solve for x

$8x−x=7$, $7x = 7$, $x = 1$.

Step3: Find QR

Substitute $x = 1$ into $QR=x + 7$, so $QR=1 + 7=8$.

Answer:

8