Apartial proof was constructed given that mnop is a parallelogram. by the definition of a parallelogram, mn ∥ po and mp ∥ no. using mp as a transversal, ∠m and ∠p are same-side interior angles, so they are supplementary. using no as a transversal, ∠n and ∠o are same-side interior angles, so they are supplementary. using op as a transversal, ∠o and ∠p are same-side interior angles, so they are supplementary. therefore, and because they are supplements of the same angle. which statements should fill in the blanks in the last line of the proof? ∠m is supplementary to ∠n; ∠m is supplementary to ∠o ∠m is supplementary to ∠o; ∠n is supplementary to ∠p ∠m ≅ ∠p; ∠n ≅ ∠o ∠m ≅ ∠o; ∠n ≅ ∠p

Given that MNOP is a parallelogram.

By the definition of a parallelogram, MN ∥ PO and MP ∥ NO.

Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.

<M + <P = 180° .......(1)

Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.

<N + <O = 180° ......(2)

Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.

<O + <P = 180° .......(3)

From (1) , (2) & (3) we have

< M + <P = < P+ < O = < O + <N

We get

<M = <O and <P = <N

Therefore, <M = <O and < P = <N because they are supplements of the same angle.

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step-by-step explanation:

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