Caryssa makes bracelets to sell at craft fairs. the supplies she needed to start her business cost $45. in addition, the supplies for each bracelet cost her $3. she sells her bracelets for $5. what is the minimum number of braclets she must sell to make a profit?

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.