## Quickster Group Title Suppose chords AB and CD of a circle meet a smaller cocentric circle at points U,V,X, and Y. If AU=2, UV=10, and CX=3 find XY 2 years ago 2 years ago

1. Quickster Group Title

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2. Quickster Group Title

Tried using systems of equations to try to solve it at one point

3. sasogeek Group Title

i think you should use ratios and proportions... $$\large \frac{2}{10}=\frac{3}{x}$$ find x... i'm not sure but this is an educated guess. if i figure out any definite sure answer, i'll let you know

4. mattt9 Group Title

is there any given relation between AB and CD?

5. mattt9 Group Title

is that picture drawn exactly as your problem shows it?

6. Quickster Group Title

No, there is not. And yes, it is.

7. sasogeek Group Title

if the picture is the exact question then xy is smaller than uv

8. Quickster Group Title

9. Quickster Group Title

That is an exact photo

10. Quickster Group Title

My sincerest condolences

11. sasogeek Group Title

well according to what i see in the diagram, the ratios should suffice for the solution

12. sasogeek Group Title

xy is obviously longer than uv in the picture, in your diagram, it looked different so it got me thinking but in your picture, i think the ratios will solve it :) so find x and tell me what u get

13. Quickster Group Title

15

14. sasogeek Group Title

there u go :)

15. Quickster Group Title

Thank you very much!

16. sasogeek Group Title

you're welcome :)

17. sasogeek Group Title

will I be seeing u often in here?

18. Quickster Group Title

Hopefully ;)

19. sasogeek Group Title

I sure want to see you tomorrow, i'll be here so let me know when you get on, we can learn something new ;)

20. Quickster Group Title

Alright, thanks!

21. Quickster Group Title

Looking forward

22. sasogeek Group Title

$$\huge \text{Anytime :)}$$

23. Quickster Group Title

If you have some time, would you be able to help me with another circle problem? http://openstudy.com/updates/4f4db527e4b019d0ebadf057