Write a two-column proof for the following conjuncture. you may not need to use all of the rows of the two-column table provided below. you may also add additional rows if needed given parallelogram abcd
(given 7 columns on assignment)

prove: angle a and angle b are supplementary
angle b and angle c are supplementary.

For any parallelogram, each two opposite sides are parallel and equal.

So, for the given ABCD be a parallelogram

AB // CD and CB is a transversal.

Because of the sum of the interior angles on the same side of the transversal is 180°

So, ∠B + ∠C = 180°

∴ Angle B and angle C are supplementary.

And

AD // BC and AB is a transversal.

Because of the sum of the interior angles on the same side of the transversal is 180°

So, ∠A + ∠B = 180°

∴ Angle A and angle B are supplementary.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94