Question

directions - use segment addition to find x: a b c x 52 108 x =

Explanation:

Step1: Apply segment - addition postulate

According to the segment - addition postulate, if we have a line segment $AC$ with a point $B$ on it, then $AB + BC=AC$. Here, $AB = x$, $BC = 52$, and $AC = 108$. So the equation is $x + 52=108$.

Step2: Solve for $x$

Subtract 52 from both sides of the equation $x + 52=108$. We get $x=108 - 52$.
$x = 56$

Answer:

56