Jeremy has nine more dimes than he has quarters. If q is used to represent the number of quarters that he has, translate "the total value of the dimes in cents" into an algebraic expression in terms of q. Don't forget that a dime is worth 10 cents! Simplify your answer.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.