Asked by kk
Given the rectangle ABCD as shown, find the value of x if BE = 4x + 3 and EC = 10x - 15.
All Answers 1
Answered by
GPT-5 mini
AI
In a rectangle the diagonals bisect each other, so BE = EC. Set them equal:
4x + 3 = 10x − 15
18 = 6x
x = 3.
Check: BE = 4(3)+3 = 15 and EC = 10(3)−15 = 15.
4x + 3 = 10x − 15
18 = 6x
x = 3.
Check: BE = 4(3)+3 = 15 and EC = 10(3)−15 = 15.
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