How many diagonals does a 12-sided convex polygon have? What is the general
rule for a convex polygon with n sides?

Answers

Answer 1

Answer:

goodluck!

Step-by-step explanation:

well is 12 sided and has digonal so

Answer 2

Answer:

54

Step-by-step explanation:

No of diagonals in a n sided polygon

[tex]= \frac{n(n-3)}{2} [/tex]

Therefore,

No of diagonals in a 12 sided polygon

[tex]= \frac{12(12-3)}{2} [/tex]

[tex]= 6\times 9[/tex]

[tex]= 54[/tex]


Related Questions

Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?

Answers

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

1.ILL GIVE BRAINIEST FOR ANSWER
Chan invested $12,500 in a savings account that pays 2.5% simple interest. How much interest does
he earn each year?
F $350.50
G $312.50
H $322.50
J $325.50

Answers

Answer:

Step-by-step explanation:

Given the function h(x) = 2.25x, find h(2)

Answers

Answer:

h(2)= 4.5

Step-by-step explanation:

h(x)=2.25x

h(2)=2.25(2)

= 4.5

Answer:

Hi! The answer to your question is 4.5

Step-by-step explanation:

To find h(2) we just have to find x in the equation and replace it with a 2

h(x)=2.25(2)

h(x)=2.25(2)=4.5

※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

800:2 in the simplest form

Answers

Answer:

400:1

Step-by-step explanation:

800:2

800/2:2/2

400:1

Polygon STUV is reflected over the X axis and then over the Y axis to create WXYZ. Which of the following sides are congruent?

Answers

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

During a 4​-year ​period, ​65% of snowstorms in a certain city caused power outages. 14 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 4​-year period.

Answers

Answer:

40

Step-by-step explanation:

S x .35 = 14

S = 14/.35

S = 40

Verify:

40 x 35% = 14

Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12

Answers

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.

Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.

How many people can she feed with 30 pounds of turkey?

Answers

She can feed 10 people

Answer:

yeah 10 people

divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah

Your teacher has disabled instant marking. Your marks will appear after the due date.
There are 1200 students at a school.
Each student has either a packed lunch or a school dinner.
62% of the students have school dinners.
55% of the students are girls.
45% of the girls have packed lunches.
62%=
How many boys have school dinners?
You must show all your working.

Answers

Answer:

38

Step-by-step explanation: 100 - 62= 38

I am not sure of my answer tho

In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram

Answers

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

For more such questions on midpoints visit:

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What percentage of 400=104 pls help me

Answers

Answer:

26%

Step-by-step explanation:

To find the percentage of a number, I find it's often helpful to first write it as a fraction:  [tex]\frac{104}{400}[/tex] .

Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]

.

Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:

[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]

As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.

In FGH, what is the measure of H?


42°
43°
68°
69°

Answers

It will be 43 degrees

If f(x)= 2(3 to the power of x) +1 what is the value of f(2)

Answers

Answer:

19

Step-by-step explanation:

f(x)= 2(3^x) + 1

f(2)= 2(3^2) + 1

= 2(9) + 1

= 18 + 1

= 19

2 minutes is how many seconds

Answers

120 seconds
1 min = 60 seconds

Answer:

120

Step-by-step explanation:

2*60 = 120

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.


Answers

Answer:

Step-by-step explanation:

3/13

The probability of being dealt a picture card is 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the total number of cards in the deck be = 52 cards

Let the number of picture cards be = A

Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings

So , total number of picture cards = 4 + 4 + 4

                                                        = 12 picture cards

And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck

The probability of drawing a picture cards is P = 12 / 52

                                                                               = 3 / 13

Therefore , the value of P is 3/13

Hence , The probability of being dealt a picture card is 3/13

To learn more about probability click :

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student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

Write the equation of the quadratic function shown in the graph.

Answers

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

i need help on this one too sorry to ask much

Answers

Answer:

I can't really see the pic :(

Step-by-step explanation:

Answer:

8^2

Step-by-step explanation:

8*8=8^2 or 64

Step by step explanation please

Answers

Step-by-step explanation:

of what where is the question

what are we explaining ?

calculate the area of a triangle

Answers

Answer:

Area of triangle formula is ;

[tex] \frac{1}{2} bh[/tex]

The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654

Answers

Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt

Answers

9514 1404 393

Answer:

  $12 for each shirt

Step-by-step explanation:

If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...

  6s +3t -79.50 = 0

  3s +2t -41.00 = 0

The solution for s can be found using the "cross multiplication" technique.

Differences of products can be formed:

  d1 = (6)(2) -(3)(3) = 3

  d2 = (3)(-41) -(2)(-79.50) = 36

Then we have ...

  1/d1 = s/d2   ⇒   s = d2/d1 = 36/3 = 12

The cost of each shirt is $12.00.

___

2 ties cost 41-36 = 5, so each one is $2.50.

_____

Additional comment

The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.

This method solves the general-form equations ...

ax +by +c = 0dx +ey +g = 0

by considering the two rows of coefficients:

a, b, c, ad, e, g, d

Then differences of cross-products are formed in adjacent columns:

  d1 = ae -db

  d2 = bg -ec

  d3 = cd -ga

The solutions are ...

  1/d1 = x/d2 = y/d3   ⇒   x = d2/d1, y = d3/d1

Mean (M) = 6, Standard deviation (SD) = 2.45,
calculate the z-score for the specified raw score of 4.

Answers

Answer:

z = -0.816

Step-by-step explanation:

z = (x-μ)/σ

z = (4-6)/2.45

z = -0.816

A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?

Answers

Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

Another group held a dance to raise money for charity. Pre-Sale tickets were $2.00 Less than tickets purchased at the event. They sold 54 pre-sale tickets and 82 tickets at the event. The group raised $980 from total ticket sales. How much did they charge for tickets at the event ?

Answers

Answer:

for the regular tickets they charged $8 for the pre sale the charged $6

Does john short qualify for overtime? Explain

Answers

Answer:

?

Step-by-step explanation:

6x-23+3m in standard form

Answers

Answer:

6x-23+3m

6x+3m-27 we can't add them b/c they have d/t

variables so the answer is 6x+3m-27

Find the value of x and y. Select all that apply. Please show your work :) image is attached

Answers

Answer:

x = 29

y = 110°

Step-by-step explanation:

y° = (3x + 23)° => corresponding angles are congruent)

(2x + 12)° + y° = 180° => linear pair

Thus:

(2x + 12)° + (3x + 23)° = 180° => substitution

2x + 12 + 3x + 23 = 180

Add like terms

5x + 35 = 180

5x = 180 - 35

5x = 145

x = 145/5

x = 29

✔️y = (3x + 23)°

Plug in the value of x

y = 3(29) + 23

y = 110°

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP


New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?

Answers

Answer:

640

Step-by-step explanation:

Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd

Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT

Answers

Hi hi!!

So, A is correct because it is the same equation just (3+4) is in the front. D is also correct because it is the same question because when a number is for example like 10(3+4) it mean multiplication and in this case you are multiplying. B and C are incorrect because they do not have a total of 70. The original equation, 10x(3+4) = 10x7 = 70.

Correct answers:

A. (3+4)x10
D. 10(4+3)
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