Can the measurement from △DEF be determined using only the Law of Cosines? State whether each measurement can be determined using only the Law of Cosines by answering “yes” or “no”. m∠D =

m∠E =

DE =

In trapezoid klmn, kj=19.2 and jm=22.5. identify ln.

You buy a veido game for $60 and the sales tax is 8% what is the total cost for the game including the sales tax

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.)