Which step should be used to prove that point p is equidistant from points r and q? . answer . a. in triangles prs and pqs, all three angles are equal. b. if two sides and one included angle are equal in triangles pqs and prs, then their third sides are equal. c. in triangles pqr and pqs, if one side and one angle are equal, then their corresponding sides and angles are also equal. d. if any one side and any one common angle are equal in triangles pqr and prs, then their corresponding sides are also equal.

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.)