Which of the following statements are enough to prove that triangles efi and gfh are similar?
line segments eg and hi intersect at point f, forming triangles efi and hfg. line a intersects with both triangles at point f.
a. segment fi = segment fh
b. segment ei over segment fi = segment gh over segment fh
c. ∠e ≅ ∠g
d. segments eg and ih intersect at point f

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?