Question

Circles M and K are congruent, QR ≅ LN and OP ≅ VW . Find x and y.

Answer 1

`x=4`

`y=2`

Explanation:

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

We have been given that
`OP\cong VW`. This means
`OP=VW`.

Upon substituting our given values, we will get:

`3x-y=10...(1)`

We have been given that
`QR\cong LN`. This means
`QR=LN`.

Upon substituting our given values, we will get:

`x+y=6...(2)`

From equation (2), we will get:

`x=6-y`

Upon substituting this value in equation (1), we will get:

`3(6-y)-y=10`

`18-3y-y=10`

`18-4y=10`

`18-18-4y=10-18`

`-4y=-8`

`(-4y)/(-4)=(-8)/(-4)`

`y=2`

Therefore, the value of y is 2.

Now, we will substitute
`y=2` in equation (2) to solve for x.

`x+2=6`

`x+2-2=6-2`

`x=4`

Therefore, the value of x is 4.

Answer 2

Base in your question where there is a diagram that shows a circle M and K are congruent and QR  is congruent to LN and OP is congruent to VW so calculate the value of X and Y if the given is in the diagram.So the answer would be X= 2 and Y=4