The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the southwest at an angle of 3.97° to the vertical. a) What is the vertical distance from the ground to
the top of the tower, on the southwest side?
b) If you were standing directly under the top of the
tower, on the southwest side, how far would you be from the base?

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

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."

If i have a 24 in loaf of bread and i cut it into two pieces one 9 in how long was the other