If a(−2, 1), b(1, 5), c(4, 4), and d(1, 0) are the vertices of a quadrilateral, do the points form a parallelogram? justify your answer. yes, it is a parallelogram because the slope of segment ab equals the slope of segment dc, which equals negative start fraction four over three end fraction, and ad = bc = 10 units. yes, it is a parallelogram because the midpoint of the diagonals segment ac and segment bd is (4.5, 2.5). no, it is not a parallelogram because the slope of segment ab = 1 and the slope of segment dc equals negative start fraction four over three end fraction full stop yes, it is a parallelogram because the slope of segment ab equals the slope of segment dc, which equals start fraction four over three end fraction, and ab = dc = 5 units.

Christina can paint 420 square feet in 105 minutes. which unit rate describes the scenario?

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

Abird on top of a 200 ft bridge tower sees a man standing on the lower part of the bridge (which is 50 ft above the ground). the angle of depression from the bird is 26 ̊. how far is the man from the base of the bridge tower? with explanation and pictures .