Question

1. multiple choice in the figure shown below, $overline{wx}congoverline{yz}$. what is the length of $overline{xz}$?

Explanation:

Step1: Set up the equation from congruence

Since $\overline{WX}\cong\overline{YZ}$, we have $3x - 8=2x + 3$.

Step2: Solve the equation for $x$

Subtract $2x$ from both sides: $3x-2x-8=2x - 2x+3$, which simplifies to $x - 8=3$. Then add 8 to both sides: $x=3 + 8=11$.

Step3: Find the length of $\overline{XZ}$

The length of $\overline{XZ}$ is $4x + 15$. Substitute $x = 11$ into the expression: $4\times11+15=44 + 15=59$.

Answer:

59