Answer:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Step-by-step explanation:
As we know that
In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,
The number of triangles thus formed would always 2 LESS than the number of sides.
As
- The sum of measure of the angles of any triangle is 180°.
Thus,
The sum of the interior angles of the 15-gon will be:

Also
15-gon is regular, it means this total
is shared in equal proportion among the 15 interior angles.
And
Each interior angle of the regular polygon will be: 
Therefore, we conclude that:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Keywords: regular polygon, 15-gon, triangle
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Answer:
18
Step-by-step explanation:
Given that:
y∞ xz
y=kxz. Where k is constant
When z=196 and x= 2 then y= 7
7=(196)(2)k
7=392k
k=1/56
There fore y=(1/56)xz
When x=3 and z =336
y=(1/56)xz
y=(1/56)(336)(3)
y=18
An easy way to think of independent and dependent variables is, when you're conducting an experiment, the independent variable is what you change, and the dependent variable is what changes because of that. You can also think of the independent variable as the cause and the dependent variable as the effect.
I hope this helps!
Answer:

Step-by-step explanation:
Let, the number of cans collected by Shane = x.
So, the number of cans collected by Abha = x + 178.
Since, at least 2000 cans are required to be collected.
Thus, we have the inequality,
Number of cans by Shane + Number of cans by Abha ≥ 2000.
i.e. 
i.e. 
Thus, the required inequality is
.
Answer:
3*sqrt(3x)
--------------
2x
Step-by-step explanation:
To rationalize the denominator, we need to get rid of the square root. We need to multiply by sqrt(12x)/sqrt(12x)
9 sqrt(12x)
---------- * -----------
sqrt(12x) sqrt(12x)
9sqrt(12x)
-----------------
12x
We can cancel 3 in the top and bottom
3sqrt(12x)
---------------
4x
We also notice that 12 is made up of 4 and 3
3sqrt(4) sqrt(3x)
---------------
4x
3sqrt(4) sqrt(3x)
----------------------
4x
3*2sqrt(3x)
--------------
4x
We can cancel a 2 in the top and bottom
3*sqrt(3x)
--------------
2x