Question

ch. 5.1 - perpendicular and angle bisectors mix - assi
use your equation from the previous question to find the value of x in the figure below.
*** just type the number and nothing else.
x =

Explanation:

Step1: Set up the equation

Since the two expressions \(4x + 3\) and \(8x-9\) are equal (angle - bisector property), we have \(4x + 3=8x - 9\).

Step2: Solve for \(x\)

Subtract \(4x\) from both sides: \(3 = 8x-4x - 9\), which simplifies to \(3 = 4x-9\).
Add \(9\) to both sides: \(3 + 9=4x\), so \(12 = 4x\).
Divide both sides by \(4\): \(x=\frac{12}{4}\).

Answer:

\(3\)