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Circle C and circle J are congruent, what is NM?

Circle C and circle J are congruent, what is NM?-example-1
User Cmthakur
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5 votes

Ok, so

We know that two circles are congruent. This makes that the triangles there, are cogruent.

Let me draw the situation here below:

If both triangles are congruent, that means that their sides and angles are equal.

Now if we notice, we realize that side DG and side NM will be equal.

So, DG = NM

Which is the same that

14t - 26 = 5t + 1

If we solve the equation for t:

14t - 5t = 26 + 1

9t = 27

And t = 3

Now, we want to find NM measure.

And we just have to replace t=3 in the expression 5t+1

This will be 5(3) + 1, which is 16.

Therefore, NM measures 16.

Circle C and circle J are congruent, what is NM?-example-1
User Nick Randell
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8.4k points

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