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## FIRST RESPONSE WITH EXPLANATION GETS BRAINLIEST Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 2x, BE=y+10,

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FIRST RESPONSE WITH EXPLANATION GETS BRAINLIEST

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 2x, BE=y+10, CE=x+2 and DE=4y – 8. Find the length of BD. A.) 16 B.) 32 C.) 18 D.) 6

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Math
Amara
2 weeks
2021-09-12T09:02:04+00:00
2021-09-12T09:02:04+00:00 2 Answers
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## Answers ( )

Answer:B.) 32

Step-by-step explanation:The diagonals of a parallelogram bisect each other, so …

BE = DE

y+10 = 4y – 8 . . . substitute the given expressions

18 = 3y . . . . . . . . add 8-y

6 = y . . . . . . . . . . divide by 3

Then BE = y+10 = 16 and …

BD = 2×BE = 2×16

BD = 32Answer:B.) 32

Step-by-step explanation:Given parallelogram ABCD, diagonals AC and BD intersect at point E, AE = 2x, BE=y+10, CE=x+2 and DE=4y – 8, the length of BD is 32.

BD = 2×BE = 2×16