Hey! I'm not exactly sure what needs to be done, but please help if you can! Thank you so much, have a good day!

The main thing is when we have a transversal across parallel lines we generate a bunch of angles, which they've numbered 1 through 8.  Some are the same angles, some are supplementary angles, which means they add up to 180°.  So really for math you just need to know whether it's the same or the supplement, which is pretty obvious from the figure.

But here they want us to match the names.  I can never remember them but we're given a menu.

∠2 and ∠5 are alternate interior angles.  Alternate means on opposite sides of the traversal.  Interior means between the parallel lines.  Say the mantra: Alternate interior angles are congruent.

∠3 and ∠5 are none of the above.  They're supplements but I don't think they have a name.  Usually we proceed in two steps.  ∠3 and ∠1 are a linear pair so supplementary.  ∠1 and ∠5 are corresponding angles so are congruent.

∠3 and ∠8 are alternate exterior angles.  Exterior means outside the parallel lines.  Alternate exterior angles are congruent.

∠4 and ∠7 are alternate interior angles so congruent.

∠4 and ∠8 are corresponding angles so congruent.

They didn't give an example, but ∠3 and ∠4 are vertical angles, and vertical angles are congruent.

i think it would be c

mark brainliest if im right

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.