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Tju [1.3M]
3 years ago
8

elogram 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. 6 B. 16 C.

18 D. 32
Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

DE = BE , substitute values

4y - 8 = y + 10 ( subtract y from both sides )

3y - 8 = 10 ( add 8 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Thus

BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D

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Answer:

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Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

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Natalija [7]
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What are the solutions to the system of equations? {y=2x2+6x−10 y=−x+5
inessss [21]
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Explanation:

y = 2x^2 + 6x - 10 (1)
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y = -x + 5
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