What does the 180 mean in this (n-2)180 and why do we multiply it

Answers

Answer 1

Answer:

Polygons can be separated into triangles by drawing all the diagonals that can be drawn from one single vertex. If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle.


Related Questions

9 pencils cost $7.74
Which equation would help determine the cost of 6 pencils?
Choose 1 answer:
1
9
$7.74
9
$7.74
6
C
9
6
$7.74
6
$7.74
9
HI
E
None of the above

Answers

Answer:

$5.16

Step-by-step explanation:

9 divided by 1.5=6

7.74 divided by 1.5=5.16

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

20 POINTS URGENT! PLEASE HELP! FAKE ANSWERS REPORTED!

Answers

Answer:

AD=35

Step-by-step explanation:

The difference between FJ-GH is equal to the difference between EK-FJ

Lets call this difference "D"

so

(7x+2)-(8x-7)=D    

simplifying

7x+2-8X+7=D

-x+9=D

(10x-1)-(7x+2)=D

simplifying

10x-1-7x-2=D

3x-3=D

now D=D so

-x+9=3x-3

12=4x

x=3

solving each known line equation for x:

8(3)-1=17

7(3)+2=23

10(3)-1=29

The line gets longer each time by 6

AD=EK+6=35

Find the slope of the equation y = 8x - 8

Answers

Answer:

8

Step-by-step explanation:

y=mx+b is a linear function with M representing the slope B representing the y-intercept

Answer:

Slope = 8

Step-by-step explanation:

Standard slope equation is y=mx+b

m=slope

When given y=8x-8, m=8

Therefore, slope is equal to 8

Find the measure of angle 2.
a. 35
b. 40
c. 50

Answers

Answer:

c 50

Step-by-step explanation:

A. 40°

B. 100°

C. 50°

D. 130°​

Answers

Answer:

c 50

Step-by-step explanation:

oposite angles are equal

Your Body Is Completely Your Temple
And I Didn’t Peek
And Yes You’re Lady Gaga
I’m Not A Thief
I Will Never Steal From Ya

Every Winter And Summer
And Autumn And Every Season
You Will Be All Mine




Answers

Answer:

:D

Step-by-step explanation:

Jane measured out $9.75 worth of Jolly Ranchers at a candy store. If Jolly Ranchers are $3.25 per pound, how many pounds did she buy?

Answers

Answer:

3 pounds

Step-by-step explanation:

If you add $3.25 three times, you get $9.75.

true or false
sin 30°=√3/2 and cos 30°=1/2

Answers

Answer:

false

Step-by-step explanation:

because it is vice versa

sin 30=1/2

cos 30=√3/2

A group of adults and children were attending a play. A total of 13 people went and spent a total of $72.50. Each adult ticket cost $7.50, and each
child ticket cost $5. How many adults attended?
ОА 3
OB 6
Ос 7
OD 10

Answers

C because if you multiply 7x7.50 than add 5 till you get 72.50

kelly is 4 feet,3 inches tall

Answers

Answer: 51 inches

Step-by-step explanation:

1st find out how many inches in 1 foot

There are 12 inches in a foot so then you would multiply

12x4 =48

Then add the other 3 inches

Now that they have retired, Jordan Keniston and his wife have decided they need a smaller home. After selling their current home, they have $87,000 to use as a down payment. The home they are purchasing is $113,700. What is the amount of their mortgage loan?

Answers

Answer:

$26,700

Step-by-step explanation:

113,700-87000=26,700

Which expression is equivalent to x + 0.2x​

Answers

Answer:1.2x

Step-by-step explanation:

It would lead to 1.2x

Find the value of y.

Answers

Answer:

y = √352

Step-by-step explanation:

y^2 + b^2 = c^2

y^2 + 18^2 = 26^2

y^2 + 324 = 676

y^2 = 676 - 324

y^2 = 352

√y^2 = √352

y = √352

Which inequalities have the solution set graphed on the number line? Select two options.
5
--3-2-1
0 1 2
0x<-4
04 D-4SX
-4>
ox>4

Answers

Answer:

A,C,D

Step-by-step explanation:

took the test

10
Determine the value of x.
1
х
407
25°
y
Z

Answers

Answer:

x=115

Step-by-step explanation:

x+40+25=180(linear pair)

x=180-65=115

Answer:

z=40°

y=x

40°+25+x=180

x=180-65

x=115

The sum of the 10 terms in a geometric series with a first term of 5 and a common ratio of 2 is 5115. What is the sum of the 10 terms in a geometric series with a first term of 10 and a common ratio of 2?

5115

10,230

25,575

51,150

Answers

Answer:

It’s 11

Step-by-step explanation:


Is (5,-2) a solution of the graphed inequality?

Answers

Answer: yes

Step-by-step explanation:

Yes, because it is in the shaded part. Anything in the line or shaded part are part of the answer :)

Randalstown rugby club play 20 matches and win 17 of there matches. What percentage of the matches did they win

Answers

Answer:

The Randalstown rugby club has won 85% of the matches.

Step-by-step explanation:

17*100/20=85%

Answer:

85%

Step-by-step explanation:

What radian measure is equivalent to 900°?
5n
10n
1/5n
9n

Answers

9n is the answer to this question

Answer: 5n

Sources: Just trust me

Please help!! This is urgent.
A certain prescription has a 0.15 cc dosage tolerance factor in its liquid form. If a doctor prescribes 2.4 cc of medication, find the upper and lower limits of the amount of medication that should be given to the patient. Do not round your answer.

Answers

Answers:

Upper Limit = 2.55 cc

Lower Limit = 2.25 cc

cc stands for "cubic centimeters".

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

Explanation:

The tolerance tells us how much we can go over or under our target. It's our margin of error. We add and subtract the tolerance (0.15) from the target we're trying to aim for (2.4)

So the lowest dosage allowed is 2.4-0.15 = 2.25 cc

The highest dosage allowed is 2.4+0.15 = 2.55 cc

The upper limit is 2.55 cc while the lower limit is 2.25 cc

On a number line, we would find that 2.4 is at the midpoint of 2.25 and 2.55; so its at the center of those lower and upper bounds. The distance from the center to each endpoint is the same. That distance would be the tolerance 0.15

What is the slope of a ladder leaning against the wall? (10 ft, 9ft, 3ft)

Answers

the ladder leaning against the wall has slope 3

is the sequence geometric? if so what is the common ratio/answers 2,-4,-16,-36/

Answers

Answer:

We conclude that the sequence 2, -4, -16, -36,... is not a geometric sequence.

Step-by-step explanation:

Given the sequence

2, -4, -16, -36,...

A geometric sequence has a constant ratio 'r'.

Let us compute the ratio of all the adjacent terms

[tex]\frac{-4}{2}=-2,\:\quad \frac{-16}{-4}=4,\:\quad \frac{-36}{-16}=2.25[/tex]

It is clear that the ratio is not constant.

Thus, the given sequence is not a geometric sequence.

Therefore, we conclude that the sequence 2, -4, -16, -36,... is not a geometric sequence.

A group of students takes their math teach out for lunch. If five have hamburgers and three have hot dogs, the bill will be $24.25. If three have hamburgers and five have got dogs, the bill will be $21.75. What is the price of a hamburger?

Answers

Answer:

46

Step-by-step explanation:

Answer:

8.07 I belive

Step-by-step explanation:

Solve the proportion.

Answers

Answer: What’s the proportion?

Step-by-step explanation:

4/5 = n/15

N= 12


Hope this helps

0.25 ( 6g + 32 ) =
Please help!!

Answers

answer: 1.5g + 8

0.25 x 6g = 1.5g

0.25 x 32 = 8

Answer:

6 g + 32.25----addition

0.25  =  6 g  + 32  = 6 g  + 32-----solving function operation                      0.125 /3 g + 16----converted to simplified fraction

1.5 g  +  8----multiplied by expressions

I hope this helps!! If its wrong just delete my answer

i need help pleaseeeee!!

Answers

Answer:

option 4

Step-by-step explanation:

fog(x)=(x-5)²+4

=x²-10x+25+4

fog(x)=x²-10x+29

1. Point A is located at (1,5) and point Q is located at (-2, -7). Calculate the distance between the two points. Round to the nearest hundredth, if necessary.

Answers

what is it you tell me what grade is this? 273-

Solve the simultaneous equations
4x + 3y = 20
4x + 2y = 14

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \tt{4x + 3y = 20........... \text{ equation \: ( \: i \: )}}[/tex][tex] \tt{4x + 2y = 14.......... \text{equation \: (ii)}}[/tex]

[tex] \underline{ \text{USE \: ELIMINATION \: METHOD}} : [/tex]

Subtract equation ( ii ) from equation ( i ) :

Remember that the sign of each term of the second expression changes i.e equation ( i ) now becomes -4x -3y = -20

[tex] \tt{ \cancel{4x }+ 2y = 14}[/tex]

[tex] \tt{ \cancel{ - 4x} - 3y = - 20} [/tex]

__________________

[tex] \tt{ - y = - 6}[/tex]

⟿ [tex] \tt{ \boxed{ \tt{y = 6}}}[/tex]

Again , Substituting the value of y in equation ( ii ) :

⟿ [tex] \tt{4x + 2 \times 6 = 14}[/tex]

⟿ [tex] \tt{4x + 12 = 14}[/tex]

⟿ [tex] \tt{4x = 2}[/tex]

⟿ [tex] \boxed{ \tt{x = \frac{1}{2}}} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = \frac{1}{2 } \: and \: y = 6}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Two parallel lines are cut by a transversal. What is the measure of 28?

Answers

Answer:

it will option D 100degree bcz of corresponding angle property

It's 100° for me on Ap3x..

write 144 as a product of it's prime number.
plz faster​

Answers

Answer:

The prime factors are only

2

and

3

As the product of prime factors:

144

=

2

×

2

×

2

×

2

×

3

×

3

Answer:

2 x 2 x 2 x 2 x 3 x 3

Step-by-step explanation:

Since 144 is an even number, we can first break it down like so:

144 = 72 x 2

Because 2 is a prime number.

We can further break it down like so:

144 = 36 x 2 x 2

144 = 18 x 2 x 2 x 2

144 = 9 x 2 x 2 x 2 x 2

144 = 3 x 3 x 2 x 2 x 2 x 2

Putting the numbers in order, 144 = 2 x 2 x 2 x 2 x 3 x 3

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