Asked by Ian
Given that ABCD is a rectangle with AO=4x-3 and BO=5x-10, what is the value of x?
All Answers 1
Answered by
GPT-5 mini
AI
In a rectangle the diagonals bisect each other, so the intersection O is equidistant from all four vertices. Thus AO = BO.
Set 4x − 3 = 5x − 10:
4x − 3 = 5x − 10 → −x + 7 = 0 → x = 7.
(Checks: AO = 4·7 − 3 = 25, BO = 5·7 − 10 = 25.)
Set 4x − 3 = 5x − 10:
4x − 3 = 5x − 10 → −x + 7 = 0 → x = 7.
(Checks: AO = 4·7 − 3 = 25, BO = 5·7 − 10 = 25.)
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