Question

rs is the segment bisector. if oq = 32 and po = 4x, what does x equal?

Explanation:

Step1: Recall the property of segment bisector

A segment bisector divides a segment into two equal - length parts. So, if $RS$ is the segment bisector of $PQ$, then $PO = OQ$.

Step2: Set up the equation

We know that $OQ = 32$ and $PO = 4x$. Since $PO = OQ$, we have the equation $4x=32$.

Step3: Solve the equation for $x$

Divide both sides of the equation $4x = 32$ by 4. So, $x=\frac{32}{4}=8$.

Answer:

8