<h2>Answer:</h2>
This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,
1.
Reason: Given
Statement: 
2.
Reason: Def of vertical 
Statement: 
3.
Reason: Def of vertical 
Statement:
4.
Reason: Transitive Property
Statement: 
5.
Reason: corresponding Angles Converse Postulate
Statement: 
<u>Answer:</u>

<u>Step-by-step explanation:</u>
We are given the following expression and we are to perform operation and write the answer in simplest form:

Changing the mixed fraction into improper fraction:
---> 
Now simplifying it:

Changing the division sign to multiplication by taking the reciprocal of the denominator:


Answer:
13
Step-by-step explanation:
The volume of a cone is equal to (pi*r^2*h)/3
(pi*25*2)/3= 52.35987...
Density = mass/volume
d= 6 grams/ 52.35987 cm^3= 0.11459...
Final answer: D