Identify the pairs of supplementary angles in the figure. a)∠1 and ∠3; ∠2 and ∠8; ∠6 and ∠7; ∠5 and ∠8
b)∠3 and ∠5; ∠1 and ∠8; ∠2 and ∠3; ∠2 and ∠8
c)∠1 and ∠2; ∠4 and ∠6; ∠6 and ∠7; ∠3 and ∠8
d)∠1 and ∠2; ∠1 and ∠8; ∠2 and ∠3; ∠3 and ∠8

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."

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

Which of the following equations is equivalent to x/3-6/x=1