Question

in the figure below, ( xy = 17 ) and ( yz = 9 ). find ( xz ).

Explanation:

Step1: Use the segment addition postulate

According to the segment addition postulate, if \(Y\) lies on \(\overline{XZ}\), then \(XZ=XY + YZ\).

Step2: Substitute the given values

Given \(XY = 17\) and \(YZ=9\), substitute these values into the formula: \(XZ=17 + 9\).

Step3: Calculate the sum

\(17+9 = 26\).

Answer:

\(26\)