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Vesna [10]
3 years ago
10

The diagonals of quadrilateral ABCD intersect at point E, AE=5x-10,EC=2x+5, and BE= y/3.. If ABCD is a square, find the value of

y. A. 5 B. 15 C. 30 D. 45

Mathematics
2 answers:
enot [183]3 years ago
5 0
Check the picture below.

Lostsunrise [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

As we are given, quadrilateral ABCD is square.

Means its diagonals will intersect each other at their mid point.

So,  AE =EC

5x-10=2x+5

5x-2x= 5+10

3x = 15

x = 5

It means AE = 5x-10 = 5(5)-10 = 25-10=15

AE = BE

So,

\frac{y}{3} = 15

y = 45

hence answer is 45.   :   Answer

Hope it will help :)

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