Agraph of a trapezoid can have diagonals with slopes that are negative reciprocals and two pairs of adjacent sides that are congruent. true or false explain your reasoning.

False

Explanation: What this statement describes is not a trapezoid, but rather a kite. A kite is a quadrilateral with two sides that are next to each other (ie adjacent) that are congruent. This is the result of combining two congruent triangles together. The diagonals of any kite are perpendicular, which is another way of saying "the diagonals have slope that are negative reciprocals".

If you had adjacent sides congruent, and a pair of parallel opposite sides, then the other two opposite sides must be parallel as well, but this would make the figure a parallelogram and not a trapezoid. This is another way to see why the answer is false.

Check out the attached image for an example.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

the k side

step-by-step explanation:

plese mark mde brainliest!