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krok68 [10]
2 years ago
8

The interior angle of a regular polvgon is 9 times the size of its exterior angle

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
3 0
<h3>Answer:   20 sides</h3>

==================================================

Work Shown:

x = exterior angle

9x = interior angle

interior + exterior = 180

9x+x = 180

10x = 180

x = 180/10

x = 18

n = number of sides

n = 360/x

n = 360/18

n = 20

There are <u>20</u> sides to the regular polygon.

Side notes:

  • The formula to determine n only works for regular polygons.
  • A polygon with 20 sides is known as an icosagon.
  • Any pair of adjacent interior and exterior angles are supplementary. They add to 180 degrees.
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6 is 55% of what number? Round answer to nearest tenth (1 number after decimal)
Arada [10]

Answer:

10.9

Step-by-step explanation:

Formula = Number x 100

Percent = 6 x 100

55 = 10.91

Following shows the steps on how to derive this formula

Step 1: If 55% of a number is 6, then what is 100% of that number? Setup the equation.

6

55% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

55Y = 6 x 100

55Y = 600

Y = 600

100 = 10.91

8 0
3 years ago
Between which pair of numbers is the exact product of 379 and 8 ?
ella [17]
387 

Hope this helped!!!!!
3 0
3 years ago
Read 2 more answers
If y=1/4 when x=5, find y when x=7, given that y directly with x
mariarad [96]

Answer:

7/20

Step-by-step explanation:

Since y varies directly with x, the ratio of y to x is proportional.

... y / 7 = (1/4)/(5)

... y / 7 = 1 / 20 . . . . simplify

... y = 7/20 . . . . . multiply by 7

3 0
4 years ago
A formula for a function y=f(x) is f(x)=x^2-10x,xless than or equal 5. Find f^-1(x) and indentify the domain and range of f^-1(x
evablogger [386]
F(x) =x² - 10x,  f⁻¹(x) =?

1st find the missing square of x²-10x, ==> (x-5)² - 25

y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5

Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}

6 0
3 years ago
Can someone help me with 8 or 9
kumpel [21]
8
A. Delivery is $20. One cord is $120.
B. 1 1/2 cord costs $200. ($180 for the cord and $20 for the delivery)

(I can’t see the full problem for 9)
4 0
3 years ago
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