Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex. Coordinates: (-3,8) (4,5) (2,-5)

Explain why the two figures below are not similar. use complete sentences and provide evidence to support your explanation. (10 points) figure abcdef is shown. a is at negative 4, negative 2. b is at negative 3, 0. c is at negative 4, 2. d is at negative 1, 2. e

Equation for the calculation double 2 and then add 5

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.)