If one angle of a set of supplementary angles measures 77°, then the other angle measures .

Which statement explains how you could use coordinate geometry to prove that quadrilateral abcd is a parallelogram? -5 -4 -3 -2 -1 t 1 2 3 4 prove that all sides are congruent and have slopes that are opposite reciprocals prove that segments ad and ab are congruent and parallel prove that opposite sides are congruent and have equal slopes prove that segments bc and cd are congruent and parallel

Linda and ralph have signed a contract to purchase a home. the closing date is april 27, and the buyer owns the property on the day of closing. the selling price of the home is $782,500. linda and ralph obtained a fixed-rate mortgage from a bank for $685,000 at 7.35% interest. the seller has already paid $14,578.15 in property taxes for the coming year. how much will linda and ralph owe in prorated expenses? (3 points) $64,925.65 $34,347.06 $10,496.82 $9,945.06

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .