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arlik [135]
3 years ago
5

GEOMETRY PLEASE HELP If the triangles below are congruent, find x and y.

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

x=2, y=1

Step-by-step explanation:

since they are both congruent, the corresponding sides are also congruent

Thus:

2x+1=x+3

x+y=3x-3y

First, solve 2x+1=x+3

2x+1=x+3

Subtract both sides by x

2x-x+1=x-x+3\\

x+1=x+3

Subtract both sides by 1

x+1-1=x+3-1

x=2

Thus x=2

Next, solve for x+y=3x-3y

x+y=3x-3y

Substitute x with 2 (from the first part)

2+y=3(2)-3y

2+y-y=6-3y-y

2=6-4y

2-6=6-4y-6

\frac{-4=-4y}{-4}

y=1

Thus y=1

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