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:
420
Step-by-step explanation:
Let
A(4,5) B(8,7) C(12,9) D(16,11)
1) Find the slope AB
m=(y2-y1)/(x2-x1)
m=(7-5)/(8-4)=0.5
2) Find the slope BC
m=(9-7)/(12-8)=0.5
3) Find the slope CD
m=(11-9)/(16-12)=0.5
The points represent a linear function
so
<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>
we know that
y-y1=m*(x-x1)
y-5=0.5*(x-4)
y=0.5*x-2+5
y=0.5*x+3
therefore
<u>the answer is</u>
The equation is equal to y=0.5*x+3
In your calculator, input arcsin(7/12). Make sure that your calculator is in degree mode. The answer is 35.69 degrees.
Answer:
d =7.6
Step-by-step explanation:
