If two angles add up to 180 degrees, then they are supplementary. we conclude that since angles a and b add up to 180 degrees, that they are supplementary. which law or property does this example illustrate?

If 1 is divided by the sum of y& 4. the result is equal to 3 divided by 4 .find the value of m?

The parabola opens: y=√x-4 (principal square root) up down right left

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.)