Respuesta :

Answer:

A

Step-by-step explanation:

AE=EC

5x-10=2x+5

5x-2x=5+10

3x=15

x=5

Answer:

The correct answer is option A.  5

Step-by-step explanation:

It is given a rectangle ABCD

To find the value of x

It is given that,

AE = 5x - 10 and EC = 2x + 5

Since ABCD is a rectangle, All diagonals are equal.

AC = BD and AE = EC

AE = EC

5x - 10 = 2x + 5

5x - 2x = 5 + 10

3x = 15

x = 15/3 = 5

Therefore the correct answer is option A.  5