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.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

to complete this square you have to rotate about the origin 270 degrees clockwise.