The following
statements are true by definition:
The side
opposite ∠L is NM.
The side
opposite ∠N is ML.
The side
opposite to the angle should not contain any letter of that side.
<span>The following
statements are not essentially true because we have no idea if triangle LNM
is a right triangle (if it is, then we do not know what the hypotenuse is):</span>
The
hypotenuse is NM.
The
hypotenuse is LN.
<span>The following
statements are not true:</span>
The side
adjacent ∠L is NM.
The side
adjacent ∠N is ML.
They are not
true because the side adjacent to an angle should have its letter on the side.
For example, the side adjacent to ∠L should be LN or LM and
for ∠N it should be NM or NL.
<span> </span>

Factor each of the following differences of two squares and write your answer together with solution.

<h3><u>1. x² - 36</u></h3>

Rewrite
. The difference of squares can be factored using the rule:
.

__________________
<h3><u>2. 49 - x²</u></h3>

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule:
.

Reorder the terms.

__________________
<h3><u>3. 81 - c²</u></h3>

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule:
.

Reorder the terms.

__________________
<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

Rewrite m²n² - 1 as
. The difference of squares can be factored using the rule:
.

It would be 105 students because you would divide the 280 students into 8 and then get 35, then multiply that by 3 representing the 3/8s of the students
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:

Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:

Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!