can someone that is good with circles help me on my next couple of examples

Question

anonymous · Answer

Yes?...

anonymous · Answer

In the following figure, with H as the center, segment MH is perpendicular to segment KJ, segment NH perpendicular to segment KL, and MK + KN = 11. Which equation is correct? 


Answer    HN = NL 
   JM + JK = 11 
   JM + NL = 11
 
   JK + KL = 11

anonymous · Answer

The segments from H meet at the midpoints of the perpendicular segments, so

JM = MK
KN = NL

If MK + KN = 11, then JM + NL must also equal 11.

Visually, JK + KL is much greater than 11.
JM + JK might be equal to 11, but you can't say for certain (as far as I know).