Question

Circles M and K are congruent,arc QR is congruent to arc LN and arc OP is congruent to arc VW find y

Answer 1

Answer:

Option D. y = (-5) is the answer.

Step-by-step explanation:

Two circles M and K are congruent.Arc QR is congruent to arc LN and arc OP is congruent to arc VW.

We have to find the value of y.

Since arc QR ≈ arc LN

Therefore, 2x - y = 11 ----------(1)

and arc WV ≈ arc PO

So,  5x + y = 10 ---------(2)

Now by solving equation 1 and equation 2 we will get the value of y.

To solve the equations we will multiply equation 1 by 5 and equation 2 by 2 first, then we will subtract equation 1 from 2.

2(5x + y) - 5(2x - y) = 10×2 - 11×5

10x + 2y - 10x + 5y = 20 - 55

7y = -35

y = (-5)

y = (-5) is the answer.

Answer 2

The answer is -5. Just plug in -5 to check and x will equal 3.