In the following diagram line C intersects line D. Figure may not be drawn to scale. Using complete sentences, classify the relationship between ∠7 and ∠8 created by the intersection of lines C and D.

Use complete sentences to explain how the special angles created by the intersection of lines C and D can be used to solve for y.

Solve for y and find the measures of ∠7 and ∠8

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.