In quadrilateral ABCD, AC = x +5 and BD = 2x-12
For what value of x is ABCD a rectangle?
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Answer:
x = 17
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
BD = AC, that is
2x - 12 = x + 5 ( subtract x from both sides )
x - 12 = 5 ( add 12 to both sides )
x = 17