Ricardo is constructing a line through point p that is perpendicular to line m. he has already constructed the arc shown. he places his compass on point x to construct an arc. what must be true about the width of the compass opening when ricardo draws the arc? it must be less than 1/2xy. it must be equal to xy . it must be equal to px . it must be greater than 12xy.

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."

Water flows at a steady rate from a tap. its takes 40 seconds to fill a 4 litre watering can from the tap. the rate at which water flows from the tap is halved. complete: 4 litres into cm3

Find the zeros of each function. f(x) = 6x^2 - 7x - 20