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stepladder [879]
3 years ago
13

Triangle RSV is congruent to triangle TVS. Find x and y.

Mathematics
2 answers:
inn [45]3 years ago
8 0

If these triangles are congruent, then side RS is congruent to side TV and that means that y = 4 - x. If y = 4-x, we can sub that into the next equation where side RV = side ST and 1 = 4x - y. If y = 4-x, we sub in accordingly to get 1 =4x - (4 - x). That simplifies to 1 = 4x - 4 + x which is, combining like terms, 5 = 5x. That means that x = 1. If x = 1, and y = 4 - x, then y = 4 - 1 and y = 3. There you go!

frozen [14]3 years ago
3 0

Given that Triangle RSV is congruent to triangle TVS.

We know that corresponding sides are equal in congruent triangles.

Corresponding equal pair sides in congruent triangles are:

RS=TV, SV=VS, RV=TS

Now plug the given values from picture we get:

y=-x+4, SV=VS, 1=4x-y

so now we have to solve above equations y=-x+4 and 1=4x-y

plug value of y=-x+4 into 1=4x-y

1=4x-(-x+4)

=> 1=4x+x-4

=> 1=5x-4

=> 1+4=5x-4+4

=> 5=5x

=> 5/5=5x/5

=> 1=x

now plug value of x=1 into above equation y=-x+4

y=-x+4=-1+4=3

Hence final answer is x=1, y=3

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