Nthe figure, . and are congruent . and are congruent by the vertical angles theorem.

1.Vertical Angles theorem

2.Angle BED

Step-by-step explanation:

We are given that a figure in which segment AB is parallel to segment CD

We have to  fill the correct answer in the blank space

Given

Angle AEB is congruent to  angle CED

By Vertical Angles theorem

Vertical angles theorem : When two lines intersect to each other then opposite angles are congruent .

Angle AEC is congruent to angle BED

By Vertical Angles theorem

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere