AMC 12A 2005 Problem 13

In the five-sided star shown, the letters A, B, C, D and E are replaced by the numbers 3,5,6,7 and 9 , although not necessarily in that order. The sums of the numbers at the ends of the line segments \overline{A B}, \overline{B C}, \overline{C D}, \overline{D E} and \overline{E A} form an arithmetic sequence, although not necessarily in that order. What is the middle term of the arithmetic sequence?

Answer Choices
A. 9
B. 10
C. 11
D. 12
E. 13