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 are equal and bisect each other, so at their intersection E we have BE = EC. Set the expressions equal:
4x + 3 = 10x − 15
18 = 6x
x = 3
Check: BE = 4(3)+3 = 15 and EC = 10(3)−15 = 15, so they match.
4x + 3 = 10x − 15
18 = 6x
x = 3
Check: BE = 4(3)+3 = 15 and EC = 10(3)−15 = 15, so they match.
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