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max2010maxim [7]
2 years ago
9

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find y.

Mathematics
1 answer:
hodyreva [135]2 years ago
3 0

9514 1404 393

Answer:

  B. 6

Step-by-step explanation:

The diagonals of a parallelogram intersect at their midpoints, so ...

  DE = BE

  4y -8 = y +10

  3y = 18 . . . . . . . add 8-y

  y = 6 . . . . . . . . divide by 3

__

<em>Additional comment</em>

The value of x is found the same way:

  2x = x+2   ⇒   x = 2

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