In the image below, point C lies on segment RS. Use your ruler to help dilate RS using C as a center with a scale factor of 1/2. Label the image segment R'S'. Using your ruler, give the measurements of segment RS and segment R'S' in inches and verify that R'S' = 1/2 RS.

What is the solution to this system of equations? y= 2x - 3.5 x - 2y = -14

Drag each equation to the correct location on the table. for each equation, determine the number of solutions and place on the appropriate field in the table.

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.)