The diagram shown is two intersecting lines. The measure of 5 is 47°. (a) What is the measure of 7 ? How do you know. Explain your answer in complete sentences. (b) Suppose the measure of 6 can be represented by (2 5 x − ) . What equation can be written to solve for the value of x? (c) What is the value of x?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)