A person can pay $42 for a membership to the art museum and then go to the museum for just $4 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $90 ?

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.