The network diagram shows cities A, B, C, D, E, F with arrows as permissible travel. How many distinct paths exist from A to F?
Based on the figure, what is the value of x, if y = 10?
In $\triangle DEF$ shown, points A, B, and C are taken on DE, DF, and EF respectively such that $EC = AC$ and $CF = BC$. If $\angle D = 40^\circ$, then $\angle ACB = $?