Question

1. find bc

a •—————•—————•
9 13 + 2x
b c
<———————————————>
x + 17

Explanation:

Step1: Set up the equation

From the segment, $AB + BC = AC$. So $9 + (13 + 2x) = x + 17$.

Step2: Simplify left side

$9 + 13 + 2x = 22 + 2x$. Equation becomes $22 + 2x = x + 17$.

Step3: Solve for x

Subtract x from both sides: $22 + x = 17$. Subtract 22: $x = -5$.

Step4: Calculate BC

$BC = 13 + 2x = 13 + 2(-5) = 13 - 10 = 3$.

Answer:

3