Let a be between b and c. use the segment addition postulate to solve for w. ba = 7w − 12 ac = 6w − 14 bc = 39 a: 3 b: 8 c: -2 d: 5

Perry observes the opposite parallel walls of a room in how many lines do the plains containing the walls intersect

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.)

Solve for x where 0 equation: cot^2x+2cotx+1=0