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Kryger [21]
3 years ago
15

1. Algebra Find the values for x and y in ABCD.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

ANSWER

x=12, y=10

EXPLANATION

The diagonals of a parallelogram bisect each other.

This implies that;

AE=EC

4x = 5y - 2

4x - 5y =  - 2...(1)

Also, DE=EB;

2x = y + 14

y =2x - 14...(2)

Put equation (2) in (1).

4x - 5(2x - 14) =  - 2

Expand;

4x - 10x + 70 =  - 2

- 6x =  - 72

x = 12

Put x=2, into equation (2).

y = 2(12) - 14

y = 10

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