Circles m and k are congruent, arc qr is congruent to arc ln and arc op is congruent to arc vw find y

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.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2