Question

1. using the diagram to the left, if line n bisects qr, find qp. 3x + 5 5x - 19 q p r

Explanation:

Step1: Set up equation

Since line $n$ bisects $\overline{QR}$, $QP = PR$. So $3x + 5=5x - 19$.

Step2: Solve for $x$

$5 + 19=5x - 3x$, $24 = 2x$, $x = 12$.

Step3: Find $QP$

Substitute $x = 12$ into $QP=3x + 5$, $QP=3\times12 + 5=36 + 5 = 41$.

Answer:

$41$