Question

Find x if Circle M is congruent to Circle N.

Answer 1

`x=9`

Explanation:

We have been given an image of two congruent circles. We are asked to find the value of x.

Upon looking at our given circles, we can see that chord ST is congruent to chord UV. So their intercepting arcs will be equal as well.

`ST=UV`

`2x=5x-27`

Upon subtracting 5x from both sides, we will get:

`2x-5x=5x-5x-27`

`-3x=-27`

Now, we will divide both sides of our equation by
`-3`.

`(-3x)/(-3)=(-27)/(-3)`

`x=9`

Therefore, the value of x is 9.

Answer 2

based on the picture, the equation would be :

2x = 5x - 27

27 = 5x - 2x

27 = 3x

x = 9

Hope this helps