Posted by **Anna** on Monday, March 7, 2011 at 9:43pm.

In circle O, chords AB and CD are congruent. Ab measures 2x + y, while CD measures 16.5

Two other chords are congruent. GH equals x +2y and KL equals 13.5

I set them up like this 2x + y = 16.5

x+2y = 13.5

then I substituted-rewrote it x = 13.5-2y

Then substituted

2(13.5) + y = 16.5

y = 3.5 and then subbed it back in to equation and came up with x = 6.5

Is this correct, I think it is but I want to make sure

- Geometry-8th grade -
**Henry**, Wednesday, March 9, 2011 at 4:49pm
Yes, I agree with your procedure and answer. But you didn't copy it correctly when it was posted.

2(13.5) + y = 16.5 should be:

2(13.5 - 2y) + y = 16.5,

27 - 4y + y = 16.5,

-3y = 16.5 - 27 = - 10.5,

y = 3.5.

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