All categories

2 years ago

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon?

Mathematics

2 answers:

Wittaler [7]2 years ago

8 0

$180^o-140^o=40^o\\\\360^o:40^o=9\\\\Answer:This\ a\ regular\ polygon\ has\ 9\ sides.$

Rasek [7]2 years ago

6 0

Yes, it certainly could ! When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular

You might be interested in

In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand contain

aalyn [17]

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

$\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

$=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}$

$=\frac{^{20}C_5}{^{52}C_5}$

$=\frac{\frac{20!}{5!15!}}{\frac{52!}{5!47!}}$

$=\frac{15504}{2598960}$

= 0.00597

7 0

3 years ago

Which describes how to find the solution 5k >22

inysia [295]

Answer:

Step-by-step explanation:

$5k>22\qquad\text{divide both sides by 5}\\\\\dfrac{5k}{5}>\dfrac{22}{5}\\\\k>4\dfrac{2}{5}\to k>4.4\to k\in(4.4,\ \infty)$

8 0

2 years ago

I do t o wish she sksnheisnmakakabs nsjd

dusya [7]

Answer:

x=-12

Step-by-step explanation:

(-22 + 3x) /( 3x+7) =2

Multiply each side of the equation by 3x+7

-22+3x = 2(3x+7)

Then distribute

-22 +3x = 6x+14

Subtract 3x from each side

-22 = 3x+14

Subtract 14 from each side

-36 = 3x

Divide by 3

-12 =x

7 0

2 years ago

Can the sides of a triangle have lengths 3, 3, and 10?

Bingel [31]

Answer:

Step-by-step explanation:

According to the property of the triangle ,

sum of any two sides should we greater then third side of the triangle.

Here, Measurement of three sides are given as 3,3,5 .

So, sum of the measurement of first two sides is 6.

And third side equals 10.

Clearly 6 is less than 10. So . it violates the property sum of any two sides should we greater then third side of the triangle.

Thus , Sides of a triangle can't be 3,3,10.

8 0

2 years ago

Read 2 more answers

Select the point that satisfies

Vika [28.1K]

Answer:

A. (5,5)

Step-by-step explanation:

Plug in (5,5) for the x and y values according to the ordered pair. In this case the equation should turn out like this :5 ≤ 5²- 4(5) + 2

Simplify the equation : 5 ≤ 25 - 20 + 2
5 ≤ 7
A is the answer because it satisfies the inequality as 5 is less than or equal to seven. Though, in this case it is just less than, but not equal to.

7 0

3 years ago

Read 2 more answers