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Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW . Find x and y.

Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent-example-1

1 Answer

4 votes

Answer:

The value of x is 4

The value of y is -1

Explanation:

we know that

If arc QR is congruent to arc LN and circle M is congruent to circle K (radius are equal)

then

QR=LN

so

8=3x+4y -----> equation A

If arc OP is congruent to arc VW and circle M is congruent to circle K (radius are equal)

then

OP=VW

so

2x=35y+13 -----> equation B

Solve the system by graphing

Remember that the solution by graphing is the intersection point both graphs

The solution is the point (4,-1)

see the attached figure

therefore

The value of x is 4 and the value of y is -1

Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent-example-1
User GlennV
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