Geo: topic 3- parallelograms 1pt a rhombus is a parallelogram with all four sides of equal length. one way to determine if a given parallelogram is a rhombus is to test whether its diagonals are perpendicular. the vertices of a parallelogram are m(−1,2), n(9,2), p(3,−6), and q(−7,−6). determine whether the parallelogram is a rhombus by checking to see if the diagonals are perpendicular. what is the slope of mp¯¯¯¯¯¯? what is the slope of nq¯¯¯¯¯¯? are diagonals mp¯¯¯¯¯¯ and nq¯¯¯¯¯¯ perpendicular? is the parallelogram a rhombus?

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?