7. The length of AC is equal to x - 1. Given the diagram below, determine its actual length.

Question

asked Jan 7, 2024 66.7k views

1 Answer

Fintan Kearney · Answer 1 · 2024-01-13T00:33:08+0000

Answer:

AC = 7

Explanation:

Since the length of AC is equal to x - 1, the length AB and BC will also equal x - 1 when combined.

(3x-22) + (x-3) = x-1

Simplify by combining like terms:

4x - 25 = x -1

Isolate x:

$4x-25 = x-1\\4x=x+24\\3x=24\\x=8$

Plugging in 8 for x into x-1:

8-1 = 7

AC = 7