## Quickster 3 years ago 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

1. Quickster

|dw:1330494422736:dw|

2. Quickster

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

3. sasogeek

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

is there any given relation between AB and CD?

5. mattt9

is that picture drawn exactly as your problem shows it?

6. Quickster

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

7. sasogeek

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

8. Quickster

9. Quickster

That is an exact photo

10. Quickster

My sincerest condolences

11. sasogeek

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

12. sasogeek

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

15

14. sasogeek

there u go :)

15. Quickster

Thank you very much!

16. sasogeek

you're welcome :)

17. sasogeek

will I be seeing u often in here?

18. Quickster

Hopefully ;)

19. sasogeek

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

Alright, thanks!

21. Quickster

Looking forward

22. sasogeek

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

23. Quickster

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