Question

what is the value of p?

p =

Explanation:

Step1: Use the perpendicular bisector theorem

According to the perpendicular bisector theorem, if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. So \(4p=p + 45\).

Step2: Solve the equation

Subtract \(p\) from both sides of the equation \(4p=p + 45\). We get \(4p-p=p + 45-p\), which simplifies to \(3p=45\). Then divide both sides by \(3\), \(\frac{3p}{3}=\frac{45}{3}\).

Answer:

\(15\)