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
The equation is L = 34 – 0.5d for the water level, L, after d days
<h3><u>Solution:
</u></h3>
Given that , Suppose that the water level of a river is 34 feet
And that it is receding at a rate of 0.5 foot per day.
We have to write an equation for the water level, L, after d days
The equation can be framed for water level after d days which is found by calculating difference between initial level and receding level of water per day
Now , we know that,
<em>water level after d days = initial level – receded level of water.
</em>
L = 34 feet – number of days spent x rate of receding level per day.
L = 34 feet – d days x 0.5 foot
L = 34 – 0.5d
Hence, the equation is L = 34 – 0.5d
Answer:
<u>A. 52 green beads; 39 yellow beads</u>
Step-by-step explanation:
See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The
Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.
G: 52 Beads
B: 26 Beads
Y: 39 Beads
Data:
Read pages = 36
Total pages = 180
<span>The ratio of pages read = ?
Solving:
</span>
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