Answer:
Angle ABF is 120°.
Step-by-step explanation:
Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.
The sum of the interior angles of an n gon is <span> (n-2)*180
the measure of each interior angle is </span><span>(n-2)*180/n
the measure of each individual exterior angle of an ngon is 360/n
all exterior angles add to 360
1. sum of 15 gon is
(15-2)*180=13*180=2340 degrees
2. deca is 10
(10-2)*180/10=8*18=144 degrees
3. dodecagon is 12 sides
360/12=30 degrees
4. 4 sides, those are exterior angles, so they add to 360
4r+7r+8r+5r=360
24r=360
r=15 degrees
5.
pentagon or 5 sides
sum of internal is (5-2)*180=3*180=540 degrees
540=4z+5z+3z+5z+3z
540=20z
27 degrees=z
3z=81=A=D
4z=108=B
5z=135=C=E
6. (n-2)*180
20 gon
(20-2)*180=18*180=3240 degrees
7. exterior angles add to 360
4y+2y+4y+6y=360
16y=360
y=22.5
2y=45 degrees
4y=90 degrees
6y=135 degrees
8. interior angles of 4 gon sum is
(4-2)*180=2*180=360
2n+6n+5n+2n=360
15n=360
n=24
2n=48
5n=120
6n=144
9.
6gon
(6-2)*180=4*180=720
90+90+x+x+22+x+x+22=720
224+4x=720
minus 224 both sides
4x=496
divide by 4
x=124
10., exterior angle of pentagon, 5 gon
360/5=72=x
11.
(n-2)*180/n=4*(360/n)
times both sides by n
(n-2)*180=4*360
divide both sides by 180
n-2=4*2
n-2=8
n=10
10 sides
12.
area of octogon of side is
</span>2(1+√2)s² where s is the side length
given, 12=side length
A=2(1+√2)12²
A=2(1+√2)144²
A=288(1+√2)
A=288+288√2 square cm
Answer:
6/8
Step-by-step explanation:
simplify and find the slope
Answer:
$3,400,000
Step-by-step explanation:
170,000/ 5% for the increase
170,000/ 5% = $3,400,000
