Please explain how you got the answer also! Two similar triangles below are shown on the coordinate grid: Which set of transformations has been performed on triangle MNO to form triangle M′N′O′? A,) Dilation by a scale factor of 2 followed by reflection across the x-axis
B.) Dilation by a scale factor of fraction 1/2 followed by reflection across the x-axis
C.) Dilation by a scale factor of 2 followed by reflection across the y-axis
D.) Dilation by a scale factor of fraction 1/2 followed by reflection across the y-axis

Two lines parallel to a third line are parallel to each other. always sometimes or never

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.)

Arectangle has a perimeter of 20 cm. the length, x cm, of one side of this rectangle is uniformly distributed between 1 cm and 7 cm. find the probability that the length of the longer side of the rectangle is more than 6 cm long.