Josephina lives on the same street as her school, so each morning she walks in a straight line down the street until she reaches her school. Yesterday, she walked 37 feet towards the school when she thought that she had forgotten her lunch. She turned around and walked eight feet back towards her house when she realized she DID have her lunch after all. She turned around and walked 39 feet to her school. Draw a diagram of Josephina’s walking pattern. How far is Josephina’s house from the school? Explain how you know.

1. are the triangles similar and if so why? what is the value of x? show your work.

Use the graph of the sine function y=2sinθ shown below

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.)