Why does it make sense that the slopes of perpendicular lines have opposite signs?

Consider the diagram. which line segment has the same measure as st? rx tx sr xs

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer

Factor x2 – 8x + 15. which pair of numbers has a product of ac and a sum of what is the factored form of the