using three pieces of matchsticks form polygon a.hiw many sides does it have? b.how many vertices does it have? c.how many interior angles does it have?​

Answers

Answer 1

Answers:

a) 3 sidesb) 3 verticesc) 3 interior angles

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

Explanation:

3 is the magic number here, and this applies to any triangle of any shape.

Each matchstick is one side of the triangle. Having three of them forms the three sides. When you intersect any pair of sides, you form a vertex which is a corner point of the triangle. Each vertex corresponds directly to an interior angle.

Side note: the 3 interior angles of any triangle always add to 180 degrees.


Related Questions

Amy Beth found a new pair of shoes that were 30% off the original price. The original price was $60. How much did she save?

Answers

10% of $60 is $6. $6•3=$18. From there subtract $18 from $60... hope this helps :)

Find the value of x...........

Answers

Answer:

x = 7°

Step-by-step explanation:

(8x + 6)° + 118° = 180°

8x = 56°

x = 7°

Can someone please help my daughter. It's on a timer so she has 10 minutes left. No links people no links no links. The question is in the picture. It's the question Number 2.​

Answers

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. (I) calculate the angular difference in their longitudes (ii) if A is due west of B and on longitude 20°W, find the longitude of B

Answers

Answer:

i) The angular difference in their longitude is approximately 50.65°

ii) The line of longitude where B is located is approximately 30.65°E

Step-by-step explanation:

The given parameters are;

The angle of latitude where the points A and B are located = 60°S

The distance between points A and B = 2,816 km

(i) The angular difference in their longitude, θ, is given as follows;

θ = 2,816/(2 × π × 6,371 × cos(60°)) × 360 ≈ 50.65°

The angular difference in their longitude, θ ≈ 50.65°

(ii) The location of the point A relative to B = Due west

The line of longitude on which A is located = 20°W

∴ The line of longitude where B is located, P = θ - 20°

∴ P = 50.65° - 20°W = 30.65°E

The line of longitude where B is located ≈ 30.65°E.

which two angles named below are supplementary in the figure? ill give brainliest

Answers

Answer:

D. Angles 4 and 7

Step-by-step explanation:

Answer 1 and 4 are supplementary angles.

Step-by-step explanation:

Supplementary angles are angles adding up to 180, the only angles listed that are supplementary angles is 1 and 4.

Have a good day!

fred spent a total of $170 for a tent and 2 sleeping bags each sleeping bag cost $35 which equation can be used to find T the cost of the tent NO SCAM LINKS

A. T=170-( 2x35 )
B. T= (170 divided by 2) +35

Answers

The answer is A. 2x35 gives the total for sleeping bags. Subtract that from 170 and you get gist of tent.

A sequence of 3 transformations is applied to the L-shaped
figure to produce the image shown on the coordinate plane.
The 3 transformations, in no particular order, are:
A) translation 9 units to the left and 4 units down
B) reflection in the x-axis
C) rotation of 90 degrees counter-clockwise rotation about
the origin
What is the correct order in which to apply these
transformations in order to produce the given image?

Answers

Answer:

BCA

Step-by-step explanation:

Y'all actually expect people to conduct experiments or to write whole essays for you?

Answers

.................apparently.

Pleaseeeee answer ASAP ✌

Answers

Answer:

h=10

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3/7 = h/14- 2/7

3/7=h/14 - 4/14

7/14 - 4/14 = 3/7

(4/14 is the same as 2/7)

Pls help me anyone
I don’t get this pls

Answers

Answer:

1. Y=-2x+3

2. Y=3x+2/3

I'm sorry I can't get them all but I know these are right

A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 4 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for Pi
The area of the sidewalk is ____ m2.

Answers

Answer:

17m2

i think it is a right answer

Area of the circular sidewalk around flowerbed is 314 m² .

What is area?

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 21m

radius = diameter/2 = 21/2 = 10.5 m

Area of flower bed A

= πr²

= 3.14(10.5)²

= 3.14(110.5)

= 346.185 m²

width of the sidewalk = 4m

radius of flower bed with sidewalk = 10.5 + 4 = 14.5m

Area of flower bed with sidewalk A'

= 3.14(14.5)²

= 3.14(210.25)

= 660.185 m²

Area of the sidewalk

= A' - A

= 660.185 - 346.185

= 314 m²

Hence, 314 m² is area of the circular sidewalk around flowerbed.

Learn more about area here:

https://brainly.com/question/27683633

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A line on a coordinate plane has a y-intercept of 5 and a slope of 3.what is the slope intercept form of the line?

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

Slope intercept form is

y = mx + b

where m is the slope and b is the y-intercept

Given m = 3 and b = 5

y = 3x + 5

Are 0.34 and 3/4 equivalent? Explain your answer in complete sentences.

Answers

Answer:

No because 3/4 is equal to 0.75 and 0.75 is not equal to 0.34

Step-by-step explanation:

Answer:

No. 3/4 is equavilent to 0.75 not 0.34.

A scatter plot was made to show the value of various vehicles based on the age of the vehide (in years). The equation for the line of best fit is y= 34,000 - 1,600x wherey is the value of the vehicle in dollars and x is the age of the vehicle in years. Use the line of best fit to predict the value of the vehide after 8 years

Answers

Answer:

$21,200

Step-by-step explanation:

Given the best fit equation:

y= 34,000 - 1,600x

Where ;

y = value of vehicle in $

x = Age of vehicle in years

The predicted value of vehicle aged 8 years ;x = 8

y = 34000 - 1600(8)

y = 34000 - 12800

y = 21,200

Hence, the predicted value of car aged 8 years is $21,200

Each boy in a class has 11 pockets and each girl in the class has 13 pockets. How many boys and how many girls are in this class if all 21 students have a total of 251 pockets? Please answer ASAP and please no links.

Answers

Answer:

10 girls

11 boys

Step-by-step explanation:

set up a system of equations:

b represents boys, g represents girls

b+g=21           (since there is a total of 21 students)

11b+13g=251   (since each boy has 11 pockets, each girl has 13, total of 251)

i chose the method of substitution, so i solved the first equation to get

b=21-g

then i substitute 21-g for b in the second equation, and solve:

11(21-g)+13g=251

231-11g+13g=251

2g+231=251

2g=20

g=10

then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)

b+g=21

b+10=21

b=11

so there are 10 girls and 11 boys in this class

There are 10 girls and 11 boys in the class.

What is an equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

What is system of equations?

"It is a finite set of equations for which we find a common solution."

For given example,

Let 'x' be the number of girls and 'y' be the number of boys.

Each boy in a class has 11 pockets and each girl in the class has 13 pockets.

And in this class if all 21 students have a total of 251 pockets.

So, we have system of equations,

⇒ x + y =21                                 .......................(1)

⇒ 13x + 11y = 251                        .......................(2)

From equation (1),

x = 21 - y                                  ......................(3)

Substitute this value of 'x' in the equation (2),

⇒ 13(21 - y) + 11y = 251

⇒ 273 - 13y + 11y = 251

⇒ 273 -2y - 273 = 251 - 273

⇒ -2y = -22

⇒ y = -22 / -2

y = 11

This means, there are 11 boys in the class.

Substitute the value of 'y' in equation (3),

⇒ x = 21 - 11

x = 10

This means there are 10 girls in the class.

Therefore, there are 10 girls and 11 boys in the class.

Learn more about system of equation here:

https://brainly.com/question/12895249

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Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help

Answers

A is 415 and c is 0.62

Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Answers

Direction: Opens upCoordinates of the vertex:  (-1, -3)Vertex: -3The vertex is a minimumAxis of symmetry: x = -1Vertex form: [tex]y = (x + 1)^{2} -3[/tex]

Answer:

          vertex form:    y = (x + 1)² - 3           the vertex is minimum           coordinates of the vertex:  (-1, -3)

Step-by-step explanation:

[tex]y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}[/tex]

a = 1 > 0  ← it means the parabla opens up, so, the vertex is minimum

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

So, from  y = (x + 1)² - 3   the vertex is:  (-1, -3)

* I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
A circle has a circumference of 10 millimeters. What is the circle's diameter? Use 3.14 for pi and round your answer to the nearest tenth.

Answers

Answer:

To find the diameter divide the circumference by pi

10÷3.14

=3.2 mm

Answer: C3.2

Explanation

What is the measure of angle GFH?

Answers

Your answer is A.99

Determine whether each system of equations has no solution, one solution, or infinitely many solutions

Show work please:)

Answers

Answer:

One solution

Step-by-step explanation:

Given system:

y = -3-3(x + 9) = y

The first equation is a horizontal line, the second equation is a line with a slope of -3.

Since the lines have different slopes, they intersect at one point.

As there is one intersection, the system has one solution.

Question 18 of 40
5
Simplify (4-2)5

Answers

The answer is 10. 4-2= 2 then multiply by 5.

Can anyone help find how to do this! Or explain how to please I’ll give brainleist.

Answers

2.40 supplementary angle
3. 40 vertical angle of angle 2
4. 140 vertical angle of angle 1
5. 140 corresponding angle with angle 1
6.40 corresponding angle with angle 2
7. 40 alternate exterior angle with angle 2
8. 140 alternate exterior angle with angle 1

Can some one help me with this question its hard :( down below ill give brainliest

Answers

Answer:

15 (C)

Step-by-step explanation:

everything else equals 125

Answer:

C. 15

Step-by-step explanation:

5*5*5, 5^3, and 5^2*5 all equal 125

Find the volume of the prism.
1.2 cm
1.8 cm
2 cm
2.3 cm
The volume is
cubic centimeters.

Answers

Answer:

Volume of prism = 6.3 cm³

Step-by-step explanation:

Given:

Dimensions of parallels line = 2.3 and 1.2 cm

Height of prism = 1.8 cm

Width of prism = 2 cm

Find:

Volume of prism

Computation:

Volume of prism = Area of base x Width

Volume of prism = [(1/2)(sum of parallels line)(Height)]Width

Volume of prism = [(1/2)(2.3 + 1.2)(1.8)]2

Volume of prism = [(1/2)(3.5)(1.8)]2

Volume of prism = [(3.5)(1.8)]

Volume of prism = 6.3 cm³

Rose is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 8 meters away from the hook.

Answers

The question is incomplete, as the depth of the hook isn't given in the question. However, using a proposed depth for the hook, we could give a stepwise solution to the exercise.

Answer:

Kindly check explanation

Step-by-step explanation:

If given a hook depth of 6 meters, and a distance of 8 m(fishing line from hook) at the the Same depth, then the distance between rose and the fish, x can be calculated, using the relation.

Hypotenus² = opposite² + adjacent²

(refer to attached picture)

x² = 6² + 8²

x² = 36 +. 64

x² = 100

x = sqrt(100)

x = 10 meters

You can use the actual depth value to obtain the actual solution to your question.

A cook wants to make enough cookies for 150 students. The cookie recipe makes
1 1/4 dozen cookies. A dozen equals 12 cookies.
How many batches does the cook need to make if each student gets one cookie?
A.3
B. 7
C.10
D. 13
E. 15

Answers

The answer is D 150 divided by 12= 12.5 :)

Answer:

C 10

Step-by-step explanation:

1 1/14 of a dozen is 15

then 150 divided by 15 = 10

I hope this is the right answer

PLEASE HELP!!!!!
What is the distance between the points X(-4,3) and Y(2, -7) rounded to the nearest tenth? show your work.
O 11.7 units
O 8.0 units
O 16.0 units
O 4.5 units​

Answers

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

A magazine rack contains 5 sports magazines, 7 news magazines, and 10 fashion magazines. After a magazine is chosen, it is not replaced. Find the probability of randomly choosing two fashion magazines.

Answers

2/22 to simplify 1/11 not sure though but I think that’s the answer u can double check though

The perimeter of a rectangle is 54cm. If the length of rectangle is 18cm,find its area

Answers

Answer:

162cm squared

Step-by-step explanation:

The perimeter of a rectangle can be calculated by length+length+width+width.

We know the length is 18, so our equation of finding the width is:

54-(18*2) divided by 2.

54-36=18.

18/2=9.

The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.

18*9=162

what is the length x of PQ

Answers

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

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