To prove the Pythagorean Theorem, Justin began with a right triangle and drew an altitude from the vertex opposite the hypotenuse to the hypotenuse. This resulted in the original triangle being divided into two smaller triangles. Which of these facts will allow Justin to finish his proof?
A One of the smaller triangles is congruent to the original triangle, and one is not.
B
Both of the smaller triangles are congruent to the original triangle.
One of the smaller triangles is similar to the original triangle, and one is not.
D
Both of the smaller triangles are similar to the original triangle.

Acircle has a circumference of 7.850 units. what is its radius?

The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm

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.)