Question

Find the values of x and y

Answer 1

9514 1404 393

Answer:

• x = 1
• y = 4

Explanation:

In order to solve this problem, we must assume the given triangles are congruent.

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Equating expressions for the hypotenuse, we have ...

10x = 2x +8

8x = 8 . . . . . . . . subtract 2x

x = 1 . . . . . . . . . . divide by 8

Equating expressions for the bottom legs, we have ...

y +2x = 10x -y

2y = 8x . . . . . . . . add y-2x

y = 4x = 4(1) . . . . divide by 2, substitute for x

y = 4