Angela, mary and tiff are all standing near the intersection of university and 42nd streets. mary and tiff do not move, but angela runs toward tiff at 12 ft/sec along a straight line, as pictured. assume the roads are 50 feet wide and tiff is 60 feet north of the nearest corner. where is angela located when she is closest to mary and when does she reach this spot?

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

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.