Triangles A B C and N M Q are shown. Sides B C and N M are congruent. Angles A B C and Q N M are congruent. Angles B C A and N M Q are both right angles. Nessa proved that these triangles are congruent using ASA. Roberto proved that they are congruent using AAS. Which statement and reason would be included in Roberto’s proof that was not included in Nessa’s proof? Given: AngleB ≅ AngleN; BC ≅ NM; AngleC is right; AngleM is right Prove: TriangleABC ≅ TriangleQNM AngleA ≅ AngleQ because of the third angle theorem. AB ≅ QN because they are both opposite a right angle. BC ≅ NM because it is given. AngleC ≅ AngleM because right angles are congruent.

Identify the conclusion of the conditional statement. if you live in phoenix, then you live in arizona.

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.)

You are a male who just graduated from college with a bachelor's degree. you have a job paying $50,780.00/yr. a. how does your salary compare to the yearly median earnings for a male with a bachelor's degree? b. what is the difference between the yearly median earnings for a male with a bachelor's degree compared to a male who does not attend college after earning a high school diploma?