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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Amara 2 weeks 2021-09-12T09:02:04+00:00 2 Answers 0

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    0
    2021-09-12T09:03:13+00:00

    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 = 32

    0
    2021-09-12T09:03:40+00:00

    Answer:

    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

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