Find x if Circle M is congruent to Circle N.

x = 9
It is given that both circles are congruent, in turn, we can assume that ST is congruent to VU. So we set them equal to each other.
2x = (5x-27)
First subtract 2x on both sides.
0 = 3x-27
Then add 27 on both sides.
27 = 3x
Finally, isolate the variable, by dividing by 3 on both sides of the equation.
9 = x