Answer:
Response 1
Step-by-step explanation:
Response 1 is the only wording that is self-consistent. Response 1 is the appropriate response.
___
Response 2 argues about angles, then concludes sides are congruent. This makes no sense.
Response 3 identifies congruent segments, but they are not opposite sides. The conclusion is unsupported.
60%
I pretty sure this is right
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>
Answer:
The closest to the volume of cylinder is <u>63 in.³</u>.
Step-by-step explanation:
Given:
Cylinder with a height of 11 inches and a circumference of 8 1/2 inches.
Now, to find the volume.
As circumference is given we get the radius by putting formula:
Circumference = 8 1/2 inches = 17/2 inches.
Let the radius be 
<em>Taking the value of π = 3.14.</em>


<em>Dividing both sides by 6.28 we get:</em>

So, radius = 1.35 inches.
Height = 11 inches.
Now, putting the formula to get the volume:





<u><em>Hence, the volume of cylinder = 63 inches³ (approximately).</em></u>
Therefore, the closest to the volume of cylinder is 63 in.³.