During the day, lola's dog is tied by rope to a tree in the center of her yard. the scale drawing below shows the area that the dog has to run. if the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing?

Let event a = you roll an even number on the first cube. let event b = you roll a 6 on the second cube. are the events independent or dependent? why?

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.)

M∠cbd=4x+52∘ m∠abc=8x−10∘\qquad m \angle abc = 8x - 10^\circm∠abc=8x−10∘ find m∠cbdm\angle cbdm∠cbd: