Amagician is performing for an audience of 32 men and 20 women. he selects a volunteer from the audience, has the volunteer stand behind a curtain, and then selects another volunteer. what is the probability that both volunteers are men? (shown as a percent) options: a. 37.4% b. 61.5% c. 32% d. 37.9%

Will give are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle angle alternate interior angles. since xy is parallel to zw, we know that these angles are we also know that angle xvy and angle zvw are , and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?