Answer:
Sum of the interior angles = (n-2) x 180°
where
n is the number of sides of the polygon
Step-by-step explanation:
The formula for the sum of the interior angles of a polygon is:

where
is the sum of the interior angle of the polygon
is the number of polygons
Let's check the formula using an example:
We want to find the sum of the interior angles of a square, we know that a square has 4 sides, so
.
Replacing values



We can apply the same procedure to any convex polygon with n sides.
Answer:
x=16
Step-by-step explanation:
2(x/8)=2
2x / 16=2
x 16 x 16
2x=32
2x/2= 32/2
x= 16
-20, -23, -26 (adding three)
Given:
The expression is

To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,

The repeated multiplication form of this expression is
![=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]](https://tex.z-dn.net/?f=%3D%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D%5Ccdot%20%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D)

Clearly, (-8) is multiplied seven times by itself. So,

Therefore, the repeated multiplication form of the given expression is
and the expression as single power is
.
Answer:
40
Step-by-step explanation:
so next year her money would be 6% more so:
5000 + (0.6 * 5000) = (1.06) * 5000
So each year she'll have : (1.06)*(last year's money)
So we can say after n years she will have :
((1.06)^n) * 5000
So:
5000((1.06)^n)=50000
n is 39.5
So around 40