Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a 48° angle with the diagonal at the
top of the canvas. What is the length of the diagonal of the canvas?
Round your answer to the nearest inch.
O 14 inches
O 27 inches
O 24 inches
O 12 inches

Polygon abcde is reflected to produce polygon a′b′c′d′e′. what is the equation for the line of reflection?

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

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.)