Think of it backwards. To get the total measure of the interior angles of a polygon, you divide the polygon into triangles, where a base of each triangle makes up a side of the polygon, and every triangle shares a vertex towards the center of the polygon. We know that the sum of the interior angles in triangles is 180 degrees. Two of the 3 interior angles of each triangle make up the interior angles of the entire polygon. If you add up the third angle of each triangle, you will get 360 degrees. So, the sum of the interior angles of a polygon is equal to the number of sides the polygon has times 180 degrees minus 360 degrees. Written as an expression, you get:
180n-360, where n is the number of sides a polygon has.
Set this equal to 5400 to get the answer:
5400=180n-360
180n=5760
n=32
So the polygon has 32 sides.
Answer:
y+2 = -1 ( x+4)
Step-by-step explanation:
The y intercept is 2
The slope is found by using two point
( 0,2) and ( 2,0)
m = (y2-y1)/(x2-1)
= ( 0-2)/(2-0)
= -2/2
= -1
The slope is -1 and the y intercept is 2
Using point slope form
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y-y1 = -1(x-x1)
It appears that we are using y1 = -2 so x = 4
y - -2 = -1( x -4)
y+2 = -1 ( x+4)
Answer:
Expected population in 2015: 19,152.58 or 19,000 people
Step-by-step explanation:
Given the decreasing rate of 2.5% per year, and a population of 28,000 in the year 2000:
We can solve for the rate of decrease by using the formula:
where:
A = population by year 2015
a = initial population (in year 2000) = 28,000
r = rate of change (decrease by 2.5% annually or 0.025)
t = time (in number of years) = 15
Plug in these given values into the formula:
A = 28,000(0.684)
A = 19,152.58 or about 19,000 people in 2015
True i think i go with what my gut says
