Use the drop-down menus below to state the sequence of transformations that maps Figure BB onto Figure CC in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not. x
y
Figure B
Figure C

A
dilation
centered at the origin with a scale factor of
4
followed by a
translation

down

3
33 unit(s) .The two figures
are
congruent because
only rigid motions
are used to map Figure B onto Figure C.

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.)