Answer: 4
Step-by-step explanation:
Hope this helps
Option C: 
is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is 
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,
Let us break the expression 
into two groups, we get,
![5x[\left(12 x^{2}+8 x\right)+(21 x+14)]](https://tex.z-dn.net/?f=5x%5B%5Cleft%2812%20x%5E%7B2%7D%2B8%20x%5Cright%29%2B%2821%20x%2B14%29%5D)
Factoring 4x from the term 
, we get,
![5x[4 x(3 x+2)+(21x+14)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B%2821x%2B14%29%5D)
Similarly, factoring 7x from the term 
, we get,
![5x[4 x(3 x+2)+7(3x+2)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B7%283x%2B2%29%5D)
Now, let us factor out 
, we get,
Hence, the possible expressions for length, width and height of the prism is
Therefore, Option C is the correct answer.
The area of a dodecagon is 1/2aP
where:
a-apothem
P-perimeter
In the figure you will draw a point to any side and make a line perpendicular from a center to that side. Then if u think u can see that with only one draw of a hypotenuse can form a triangle. Then after drawing the hypotenuse which has 2 triangles, make the top angle of 1 triangle there are 30 degrees. On the down part is perpendicular and the left or the right is the 60 degrees. After that using special right triangles like the 30, 60, 90,. Then at the base of the one it bisected dived them by 2 for the 2 triangle's base. After that solve using it since the radius is 14. The apothem is 14(sqrt of 3). So after solving them the perimeter of each dodecagon is 12 sided so 14x12 is 168
A=1/2aP
A=1/2(14)(sqrt of 3)(168)
A=1176(sqrt of 3)
Thats the area of the dodecagon now the circle
A=(pi)r^2
A=(pi)(9)^2
A=81pi
Therefore the color purple is greater than the color green
145 divided by 7 =20.71
a little sketch on my answer <span />
A four sided polygon, 4 edges and 4 corners
