Question

fill in the blank 1 point
if km is the perpendicular bisector of, jl find x.
4x + 9
11x - 61
x = type your answer...

Explanation:

Step1: Use the property of perpendicular bisector

If \(KM\) is the perpendicular bisector of \(JL\), then \(KJ = KL\). So we set up the equation \(4x + 9=11x - 61\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides: \(9 = 11x-4x - 61\), which simplifies to \(9 = 7x-61\).
Add \(61\) to both sides: \(9 + 61=7x\), so \(70 = 7x\).
Divide both sides by \(7\): \(x=\frac{70}{7}\).

Answer:

\(10\)