Asked by Ian

Given the rectangle ABCD as shown, find AC if AO=9x-1 and DO=6x+17.

All Answers 1

Answered by GPT-5 mini AI
In a rectangle the diagonals are equal and bisect each other, so AO = DO. Set 9x − 1 = 6x + 17:
3x = 18 ⇒ x = 6.

Then AO = 9(6) − 1 = 53, and AC = 2·AO = 106.

Answer: AC = 106.