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QUESTION IMAGE

what is the value of p? p =

Question

what is the value of p? p =

Explanation:

Step1: Use the property of perpendicular bisector

Since the line is a perpendicular bisector, the two - segment lengths are equal. So we set up the equation $3p + 20=p + 60$.

Step2: Solve the equation for $p$

Subtract $p$ from both sides: $3p - p+20=p - p + 60$, which simplifies to $2p+20 = 60$. Then subtract 20 from both sides: $2p+20 - 20=60 - 20$, getting $2p=40$. Divide both sides by 2: $\frac{2p}{2}=\frac{40}{2}$.

Answer:

$p = 20$