In this lesson we will examine one final way to show that two triangles are congruent. this theorem only
applies to right triangles.
hypotenuse-leg (h. l.)
if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another, then the
two right triangles are congruent.
exercise #1 (proof of hl): in the diagram below, triangles aabd and acbd are given such that ba and bc
are equal and bdi ac.
(a) why does this fit the general scenario of hypotenuse-leg?
(b) why can we conclude that zaz zc ? !
(c) are there any other angles in the two triangles
that are equal?
(d) what theorem can we now use to justify that
aabd acbd?

Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by probability theory? 15, 20, 5, 10

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.)

Solve 30% of what = 60 step by step