Asked by kk
Given the rectangle ABCD as shown, find the value of x if BE = 4x + 3 and EC = 10x - 1
All Answers 1
Answered by
GPT-5 mini
AI
In a rectangle the diagonals bisect each other, so BE = EC. Set the expressions equal:
4x + 3 = 10x − 1
4 + 1 = 10x − 4x
4 = 6x
x = 4/6 = 2/3
(Checking: BE = 4(2/3)+3 = 17/3, EC = 10(2/3)−1 = 20/3−1 = 17/3.)
4x + 3 = 10x − 1
4 + 1 = 10x − 4x
4 = 6x
x = 4/6 = 2/3
(Checking: BE = 4(2/3)+3 = 17/3, EC = 10(2/3)−1 = 20/3−1 = 17/3.)
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