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Please help ! find the values of x and y. show your work

Please help ! find the values of x and y. show your work-example-1

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The triangles are congruent by SSS, as indicated by the ticks through the sides. That means you can set corresponding side lengths equal to each and solve for x and y.

The corresponding sides are the sides which have the same amount of ticks; 4y + 8 corresponds to 24 and 7x - 4 corresponds to 31. Let's make the equations and solve.

4y + 8 = 24
4y = 16
y = 4

7x - 4 = 31
7x = 35
x = 5

Answer:
x = 5
y = 4
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