3. If m∠EBF = 6x + 4 and m∠CBF = 7x - 2, find m∠EBF. 4. If m∠3 = 4x + 10 and m∠4 = 5x, find m∠4. 5. If m∠3 = 6y + 2 and m∠4 = 8y - 14, find m∠CBE. 6. Let m∠1 = m∠2. If m∠ABE = 100 and m∠ABD = 2(r + 5), find r and m∠DBE.

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? check all that apply. a. 9% + 3x2 = 14 + x-1 b. -x+ + 4x + 7 = -32-9 c. 5x + 4 = 3x4 - 2 d. 2x2 + x2 + x = 30

1. what expression would be the same as 6x+x+0 2. find the prime factorization of 60 3. write the expression for 6 + x in words.

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?