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:
2<x<3
Step-by-step explanation:
4x-4<8 AND 9x+5>23
Solve the first inequality
4x-4<8
Add 4 to each side
4x-4+4 <8+4
4x<12
Divide by 4
4x/4 <12/4
x <3
Solve the second inequality
9x+5>23
Subtract 5 from each side
9x+5-5>23-5
9x >18
Divide by 9
9x/9>18/9
x>2
Put together
x<3 and x>2
2<x<3
X = 20 degrees
Y = 30
This is acute triangle so all the sides and angles are the same. Subtract 16 from 46 and you receive 30 for y. For the corresponding angle, subtract 80 from 180. Then add 60 to that and subtract that from 180 for x.
On the account with interest compounded annually, the account balance will be
P*(1 +r)^t
4500*1.06³ = 5358.57
so the interest earned will be
5358.57 -4500 = 859.57
On the account with simple interest, the interest earned will be
I = Prt
I = 4500*.06*3
I = 810.00
The total interest earned on the two accounts will be
$859.57 +810.00 = $1669.57 . . . . . . . . selection A
