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3 years ago

How many sides does a polygon have if the sum of the measures of the interior angles is 3960

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

Answer: the polygon has 20 sides.

Step-by-step explanation:

The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.

if the sum of the measures of the interior angles is 3960

degrees. This means that

(n - 2) × 180 = 3960

Expanding the brackets by applying the distributive property, it becomes

180n - 360 = 3960

180n = 3960 - 360

180n = 3600

Dividing both sides by 180, it becomes

n = 3600/180

n = 20

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Plss solve 29 for me.with the steps plsssßs I am begging u

lakkis [162]

That means that the first rectangle and the first triangle ave athe same perimiter

so therefor
perimiter=sides added up
rectangle has 4 sides bu 2 is given so double it since the other side is same legnth
rec=x+x+4
multiply 2
2x+2x+8=4x+8=perimiter
this is equal to perimiter of triangle which is
x+9+x+5+x=3x+14
therefor
4x+8=3x+14
subtract 3x from both sides
x+8=14
subtract 8 from both sides
x=6
first one x=6

second rectangle and second triangle
s+7 and 3s
2 sides
2s+14+6s=p
8s+14=p

traignel=2s+12+2s+12+2s+12=6s+36=p
they are equal so
8s+14=6s+36
subtract 6s from both sides
2s+14=36
subtract 14 from both sides
2s=22
divide both sideds by 2
s=11

the values are
pair one:
x=6

pair 2:
s=11

5 0

3 years ago

PLEASE HELP MEEEEEEEEEEEEEEEEEE

DerKrebs [107]

Perimeter of the carpet = 21.8 m

Area of the carpet = $29.4 $ m^{2}$

Given:

Dimension of the living room:

$l = 4.9 $ m\\w = 6 $ m$

A. Perimeter of the carpet = perimeter of a rectangle

Perimeter = $2(l + w)$

Substitute

$Perimeter = 2(4.9 + 6)\\= 21.8 $ m$

Perimeter of the carpet = 21.8 m (The digits here are significant)

B. Area of the carper = area of a rectangle 

Area = $l \times w$

Substitute

$Area = 4.9 \times 6\\= 29.4 $ m^{2}$

Area of the carpet = $29.4 $ m^{2}$ (the digits here are significant)

Therefore, considering the rules of significant digits:

Perimeter of the carpet = 21.8 m

Area of the carpet = $29.4 $ m^{2}$

Learn more here:

brainly.com/question/12932084

6 0

3 years ago

If x-y doesn't equal 0 then x^2-y^2 / x-y =

NARA [144]

Recognize the differnce of 2 perfect squares

a²-b²=(a-b)(a+b)

so
$\frac{x^2-y^2}{x-y}=\frac{(x-y)(x+y)}{x-y}=(\frac{x+y}{1})(\frac{x-y}{x-y})=(x+y)(1)=x+y$

3 0

3 years ago

PLZ HELP ME, DUE RN!!

mash [69]

Answer:

Step-by-step explanation:

For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.

Using the coordinates B (22,5) and Ju (4,5), Using the mid point formula;

m(X,Y) = $(\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\$

X = $\frac{x_2+x_1}{2}$

X = $\frac{22+4}{2}$

$X = \frac{26}{2}\\ X = 13$

$Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5$

$(X, Y) = (13, 5)$

Hence the friend that live half way of B (22,5) and Ju (4,5) is J(13, 5)

Similarly as above, using the coordinates of M (11,5) and A (31,5)

X = (11+31)/2

X = 42/2

X = 21

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends is (21, 5)

Hence the friend that live half way of M (11,5) and A (31,5) is Ma(21, 5)

Also, using the coordinates of J (13,5) and A (31,5)

X = (13+31)/2

X = 44/2

X = 22

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends J and A is (22, 5)

Hence the friend that live half way of J (13,5) and A (31,5) is B(21, 5)

4 0

3 years ago

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Setler79 [48]

Answer:

14 ounces

Step-by-step explanation:

16 ounces = 1 pound

Multiply the above equation by 7/8:

(7/8)(16 ounces) = (7/8)(1 pound)

14 ounces = 7/8 pound

5 0

3 years ago