1. Given
2. If parallel lines are cut by a transversal, then corresponding angles are congruent.
3. Definition of congruency.
4. if parallel lines are cut by a transversal, then corresponding angles are congruent.
5. Linear pairs are supplementary.
6. Definition of supplementary.
7. Substitution
8. Definition of supplementary.
Sorry if these are wrong. I haven't done geometry in so long, but most of these are right. You might want to check number 4 and 2.
This is a difference of perfect squares which is of the form:
(a^2-b^2)
And which always factors to:
(a-b)(a+b)
In this case:
(5x-8)(5x+8)
Answer:
I believe the answer is C, 12
Step-by-step explanation:
180 ÷ 30 = 6
6 x 2 = 12
Answer:

Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:

where:


a=0

so the volume becomes:

This can be simplified to:

and the integral can be rewritten like this:

which is a standard integral so we solve it to:
![V=9\pi[tan y]\limits^\frac{\pi}{3}_0](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20y%5D%5Climits%5E%5Cfrac%7B%5Cpi%7D%7B3%7D_0)
so we get:
![V=9\pi[tan \frac{\pi}{3} - tan 0]](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20-%20tan%200%5D)
which yields:
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