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densk [106]
3 years ago
8

What is the sum of the interior angles, each interior angle, the central angle, and each exterior angle of a pentagon, a hexagon

, an octogon, a nonagon, a decagon and a dodecagon.
Mathematics
1 answer:
WITCHER [35]3 years ago
3 0
<span>Sum of Interior Angles: Formula: (n-2) * 180
-Pentagon: 540</span>°<span>
-Hexagon: 720</span>°<span>
-Octagon: 900</span>°<span>
-Nonagon: 1260</span>°<span>
-Decagon: 1440</span>°<span>
-Dodecagon: 1800</span>°

Each interior Angle: Formula: [(n-2)*180] / n
-Pentagon: 108°
-Hexagon: 120°
-Octagon: 135°
-Nonagon: 140°
-Decagon: 144°
-Dodecagon: 150°

The sum of the exterior angles of each polygon stated above is equal to 360 degrees. Using the formula: (180-interior angle) * n

The central angle is formed by making a circle in the middle and divide it by the number of sides. Therefore, CA = 360 /n
-Pentagon: 72°
-Hexagon: 60°
-Octagon: 45°
-Nonagon: 40°
-Decagon: 36°
-Dodecagon: 30°

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Your take home pay is $1500 and you have 22% withheld in taxes. What is your gross pay?
wlad13 [49]

We have been given that the take home pay is $1500 and 22% is withheld as taxes.

Let us assume that the gross pay is x dollars. Therefore, take home pay must be 78% of x because 22% of the pay is withheld as taxes, so you get to take home only 78% of the gross pay.

Since we have been given that take home pay is $1500 and it is 78% of the total gross pay. Therefore, we can set up an equation:

78\%\text{ of }x=1500\\\frac{78}{100}x=1500\\0.78x=1500\\x=\frac{1500}{0.78}\\x=\$1923.08

Therefore, gross pay is $1923.08

5 0
3 years ago
Read 2 more answers
Please help me quick :)
krek1111 [17]
It would be an average of about 8.00 (7.99 to be somewhat exact). You get this by dividing the total amount by 200, the dividing that by 363.
7 0
3 years ago
Read 2 more answers
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
Hunter-Best [27]

Answer: x-7

Step-by-step explanation:

f(x)+g(x)=-3x-5+4x-2=\boxed{x-7}

8 0
2 years ago
Explain how you can find the center of dilation of a triangle and its dilation.
Naddika [18.5K]

In mathematics, the term "center of dilation" refers to a constant point on a surface from which all other points are either enlarged or compressed. The center of dilation and the scale factor comprise the two properties of a dilation.

4 0
3 years ago
What is the value of the numerical expression 5/8-5/12(3-1/4)+2/3
vlabodo [156]
Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times  2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
lcm=2 times 2 times 2 times 3=24

5/8 times 3/3=15/24
5/12 times 2/2=10/24
3/1 times 24/24=72/24
1/4 times 6/6=6/24
2/3 times 8/8=16/24
we now have
15/24-10/24(72/24-6/24)+16/24
pemdas
simplify parenthasees first
72/24-6/24=66/24

now we have
15/24-10/24(66/24)+16/24
multiply
15/24-660/576+16/24
make same bottom number
15/24 times 24/24=360/576
16/24 times 24/24=384/576
360/576-660/576+384/576
84/576
7/48

answer is 7/48
3 0
3 years ago
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