Question

09/03 - segment bisector practice l (updated)
given $overleftrightarrow{jb}$ is the segment bisector of $overline{ad}, ad = 24$ and $az = 2x + 4$, find the value of x.
equation: (no spaces)
x =

Explanation:

Step1: Recall segment - bisector property

Since $\overleftrightarrow{JB}$ is the segment bisector of $\overline{AD}$, then $AZ=\frac{1}{2}AD$.

Step2: Substitute given values

We know that $AD = 24$ and $AZ=2x + 4$. So, $2x+4=\frac{24}{2}$.

Step3: Simplify the right - hand side

$\frac{24}{2}=12$, so the equation becomes $2x + 4=12$.

Step4: Solve for x

Subtract 4 from both sides: $2x=12 - 4$, so $2x=8$. Then divide both sides by 2: $x = 4$.

Answer:

Equation: $2x + 4=12$
$x = 4$