Lines b and a are intersected by line f. at the intersection of lines f and b, the bottom left angle is angle 4 and the bottom right angle is angle 3. at the intersection of lines f and a, the uppercase right angle is angle 1 and the bottom left angle is angle 2.
which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f?

m∠4 = 110° and m∠3 = 70°
m∠1 = 110° and m∠2 = 110°
m∠1 = 110° and m∠3 = 70°
m∠2 = 110° and m∠3 = 110°

answerthe vertex form

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.

d will be the best answer