02-11-2020
Mathematics

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In quadrilateral ABCD, AC = x +5 and BD = 2x-12
For what value of x is ABCD a rectangle?

In quadrilateral ABCD AC x 5 and BD 2x12 For what value of x is ABCD a rectangle class=

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jimrgrant1 jimrgrant1

02-11-2020

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

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