Heather is filling her new koi pond with a water hose. after 33 minutes, her pond has 74 gallons water. her koi pond holds 480 gallons of water. she adds another water hose that flows twice as fast. find the constant of proportionality for the flow rate of the two water hoses combined? (round to nearest tenth)

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.