Acarpenter used 9 1/2 ft of cedar for every 7 2/3 ft of redwood for a construction project. if the carpenter uses 4 3/4 ft of cedar, how much redwood does he need?

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.