Susan wanted to measure the height of her school’s flagpole. she placed a mirror on the ground 72 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. her eyes were 5 feet above the ground and she was 12 feet from the mirror. using similar triangles find the height of the flagpole to the nearest foot. a. 25 ft. b. 30 ft. c. 55 ft. d. 60 ft.

Consider circle h with a 3 centimeter radius. if the length of minor arc what is the measure of zrst?

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."

How many solutions does the nonlinear system of equations graphed bellow have?