NEED ASAP (05.01 LC)

Zoe is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2? (6 points)

Group of answer choices

By distribution, AC2 plus AB2 = BC multiplied by the quantity DC plus BD.

By distribution, AC2 plus AB2 = BC multiplied by the quantity DC plus AB.

By distribution, AC2 plus AD2 = BC multiplied by the quantity DC plus BD.

By distribution, AC2 plus AD2 = BC multiplied by the quantity DC plus AB.

Select the correct answer from each drop down menu

Put the equation in slope intercept form by solving for y

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)