In a class of 23 students, 6 are female and 12 have an A in the class. There are 4 students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female?

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.