180 = 2x + 26
-26 -26
154 = 2x
÷2 ÷2
77 = x
One of the sides is 77
For a better understanding of the answer given here, please go through the diagram in the attached file.
The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).
As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.
The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.
The Apex of the pyramid, P is one more vertex.
Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:
6+6+1=13
Answer:
Nonproportional
Step-by-step explanation:
hope it helps.
Answer: Choise A and Choise B.
Step-by-step explanation:
Given the following expression:

You can simplify it in order to find equivalent expressions.
Appying the Distributive Property, you get:

So:
1. If you add the like terms, you get this equivalent expression:

2. But if you factor out 3, you get the following equivalent expression:

Therefore, the expression shown in Choice A and Choise B are equivalents to the expression 
Answer:
The range of the graph is:
-3 ≤ y ≤ 3
Hence, option (B) is correct.
Step-by-step explanation:
We know that the range of a function is the set of values of the dependent variable 'y' for which a function is defined.
From the given graph, it is clear that the graph goes down at y=-3 and then goes up to y=3 and then goes down again.
In fact, this indicates that the range of the graph lies between y=-3 to y=3
Therefore, the range of the graph is:
-3 ≤ y ≤ 3
Hence, option (B) is correct.