You are given three points =(9,9), =(11.84,6.16) and =(11.84,11.84). Find the coordinates of the fourth point such that the points , , and form a parallelogram (i. e take the lines and as parallel, and the lines and as parallel).

You may find helpful making a sketch of the situation and then finding the equations of the lines and .

Select all the expressions that will include a remainder.

What is the missing reason in the proof? segment addition congruent segments theorem transitive property of equality subtraction property of equality?

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.)