## anonymous 4 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. anonymous

|dw:1330494422736:dw|

2. anonymous

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. anonymous

is there any given relation between AB and CD?

5. anonymous

is that picture drawn exactly as your problem shows it?

6. anonymous

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

7. sasogeek

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

8. anonymous

9. anonymous

That is an exact photo

10. anonymous

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. anonymous

15

14. sasogeek

there u go :)

15. anonymous

Thank you very much!

16. sasogeek

you're welcome :)

17. sasogeek

will I be seeing u often in here?

18. anonymous

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. anonymous

Alright, thanks!

21. anonymous

Looking forward

22. sasogeek

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

23. anonymous

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