Circles M and K are congruent, segment QR is congruent to arc LN . Find the length of segment QR .

26/3 or 8.67

Step-by-step explanation:

Arc lengths are congruent and the radii are the same implies angle at the centre is also equal,

Hence length of the chords are equal too

4x+2 = x+7

3x = 5

x = 5/3 or 1.67

Length of QR = 4x+2

= 4(5/3) +2

= 20/3 + 2

= 26/3 = 8.67

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2