Question

1. a x z 27 38

Explanation:

Step1: Identify the relationship

We know that the length of segment $AZ = 38$ and the length of segment $AX=27$. We want to find the length of segment $XZ$. By the segment - addition postulate, $AZ=AX + XZ$.

Step2: Solve for $XZ$

We can rewrite the equation $AZ = AX+XZ$ as $XZ=AZ - AX$.
Substitute $AZ = 38$ and $AX = 27$ into the equation: $XZ=38 - 27$.
$XZ = 11$

Answer:

$11$