Observe the given figure.
Given: 
To prove: 
Statement
1.
Reason: Given
2. 
Reason: Substitution
3. 
are alternate interior angles.
Reason: Definition of alternate interior angles
4.
Reason: If alternate interior angles are equal, then the lines are parallel.
Step One
Find the base area of the large hexagon as though the smaller one was not removed.
Area = 3*Sqrt(3) * a^2 /2 where a is the length of one side of the hexagon
a = 5
Area = 3*sqrt(3) * 25/2 = 75 sqrt(3) / 2 of the large hexagon without the smaller one removed.
Step Two
Find the area of the smaller hexagon. In this case a = 4
Area2 = 3*sqrt(3)*16/2 = 3*sqrt(3)*8 = 24 sqrt(3)
Step Three
Find the area of the thick hexagonal area left by the removal of the small hexagon.
Area of the remaining piece = area of large hexagon - area of the small hexagon
Area of the remaining piece = 75 *sqrt(3)/2 - 24*sqrt(3)
Step Four
Find the volume of the results of the area from step 3
Volume = Area * h
h = 18
Volume = (75 * sqrt(3)/2 - 24*sqrt(3))* 18
I'm going to leave you with the job of changing all of this to a decimal answer. I get about 420 cm^3
The greatest number you can make is <span>75431</span>
113
42
13
Hope this helps have a good day
Answer:
No solution
Step-by-step explanation:
Apply the distributive property:
-2x - 2 = -2x + 5
Add 2x to each side:
-2 = 5
Since negative two never equals five, there is no solution to this equation.
