Question

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.

Answer 1

Answer:

The value of x is 4

The value of y is -1

Step-by-step 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