Instructions: Find the measure of one interior angle for the following regular polygon.

Instructions: Find The Measure Of One Interior Angle For The Following Regular Polygon.

Answers

Answer 1

Answer:

60

Step-by-step explanation:

interior angles for a triangle is 180°

180 ÷ 3 sides = 60°

Answer 2

The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

What are the measures of interior and exterior angle of a regular polygon?

For an n-sided polygon,

The sum of all interior angles = (n - 2)180°.

The sum of all exterior angles = 360°.

We know, that a regular polygon has all sides equal, all interior angles equal, and also all exterior angles equal.

Therefore,

The value of each interior angle of a regular polygon = (The sum of all interior angles)/n,

or, The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

The value of each exterior angle of a regular polygon = (The sum of all exterior angles)/n,

or, The value of each exterior angle of a regular polygon = 360°/n.

How to solve the question?

In the question, we are asked to find the measure of one interior and one exterior angle of the given regular polygon.

The given regular polygon is a three-sided regular polygon, that is, it is an equilateral triangle.

∴ We can say that n = 3.

∴ The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

or, The value of each interior angle of a regular polygon = {(3 - 2)180°}/3 = 180°/3 = 60°.

∴ The value of each exterior angle of a regular polygon = 360°/n.

or, The value of each exterior angle of a regular polygon = 360°/3 = 120°.

∴ The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

Learn more about regular polygons at

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Related Questions

Find The surface area of the pyramid

Answers

Answer:

85 ft^2

Step-by-step explanation:

Let us calculate the area of the triangles and the base.

For the triangles, we can use the area formula and get 5 • 3 which is 15. Since there are 4, we multiply it by 4 and get 60.

For the base, we have 5 • 5, which is 25. Adding it together, we get 85.

If you are stuck on how to find surface area, all you have to do is find the area of each side and add.

I hoped this helped!

may i know the answer for this please

Answers

Answer:

14, 16

Step-by-step explanation:

The prime factorization of 224 is 2⁵ × 7. To make it a perfect square, we need the bases to have an even exponent, therefore we divide it by 2 × 7 = 14 to get 16.

Please help!!me don’t understand

Answers

Answer:

x=45

Step-by-step explanation:

the sum of straight angle=180

2x+45+x=180

3x=180-45

3x=135

x=135/3=45

Answer:

45 degree

Step-by-step explanation:

Since it is an straight line it means all of the added angles together equal 180

2x+45+x=180

3x+45=180

3x=135

x=135/3

x=45

(-3 2/3)^2 (thast 3 and 2 thirds btw)

Answers

Hey there! :)

Answer:

[tex]\frac{121}{9}[/tex]

Step-by-step explanation:

We can solve this by first converting -3 2/3 to an improper fraction:

[tex]-3\frac{2}{3} = \frac{-11}{3}[/tex]

Square the fraction:

[tex](\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}[/tex]

What is 220% of 400? A. 88 B. 880 C. 8,800 D. 88,000

Answers

Answer:

The correct answer is B. 880

Step-by-step explanation:

220%=2.2

2.2(400)=880

Answer:

B. 880

Step-by-step explanation:

220% × 400

= 220/100 × 400

= 88000/100

= 880

A preimage (2,-3) is translated to (3,2). What type of transformation has occured?

Answers

Answer:

Reflection.

Step-by-step explanation:

The reflection of the point (x,y) across  the x-axis is the point (x,-y).

The reflection of the point (x,y) across  the line y = x is the point (y, x).

Given the preimage (2,-3).

Step 1: Reflect (2,-3) accross the x-axis, to obtain: (2,3) Step 2: Reflect (2,3) accross the the line y = x to obtain: (3,2)

Therefore, the type of transformation that has occured is Reflection.

Mention
rational numbers which are
less than 5​

Answers

Answer:

Here are some rational numbers less than 5:

4, 4.2, -3, 0, 1/10, -5/16

A rational number is a number than can be written as a fraction of integers.

Answer:

rational numbers below 5 are 4,3,2,1,-1,-2,-3,-4 e.t.c

Please answer this in two minutes now

Answers

Answer:

the slope is zero so,it dont have mx value in equn it just have c value.

Determine whether the samples are independent or dependent. upper a data set includes the morning and evening temperature for the lasta data set includes the morning and evening temperature for the last 90 days.90 days.

Answers

Answer:

Dependent sample

Step-by-step explanation:

The sample: a data set includes the morning and evening temperature for the last 90 days.

The samples are dependent in that they are paired measurements on just one set of item which is the temperature.

These measurements are related in such a way that the each observation in one sample can be paired with an observation in the other sample.

PLEASE HELP, AND PLAESE EXPLAIN!!!

Answers

Answer:

D.   22.5 sq. un.

Step-by-step explanation:

W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.

That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un.  - Also 4.5*2=9 to get WUV

V is the midpoint of the line BS so that means that BUV and UVS are equal

we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle

=27

The last step is to get rid of BVW which we know is 4.5

27-4.5=22.5

You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doubling each day (2 cents on day 2, 4 cents on day 3, 8 cents on day 4, etc.) for the rest of this 30 day month. Option B is to be paid $1 on the first day of the month, with your wages increasing $100 each day ($101 on day 2, $201 on day 3, $301 on day 4, etc.). Which option will give you more money by the end of the month? Make sure to support your answer.

Answers

Answer:

Option B.

Step-by-step explanation:

If you begin with one dollar a day there will get you more by the end of the month because on day 2 your on 201 already which is more than you get in that month with one cent.

The first option (A) will give you more money than option (B).

What are the geometrical progression series and arithmetic progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

Given that

Case A). Doubling each day

1 + 2+ 4 + 8 + 16 .... it is form a GP series with common ratio (r) 4/2 = 2

Number of terms (n)

Sum =  30( [tex]2^{30}[/tex] - 1)/(2 - 1) = $2147483464.

Case B). Adding $100 each day

1 + (101 + 201 + 301 ....) it is form a ap series with common difference d = 201 - 101 = 100.

Number of terms = 29

Sum = 1 + 29/2 + [ 2 (101) + 28(100)] = $43530

Hence it is clear that case (A) will give you more money.

For more information about the geometrical progression

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Pls help ima mark BRAINLIST


Answers

Answer:

G.

Step-by-step explanation:

Since the y-int is (0, 4), you know you have to have an equation that has a +4 in it. When you calculate for the slope, you should get 4/3, and so the only equation that has those 2 is G.

Please help me I’m desperate

Answers

Answer:

           The first

Step-by-step explanation:

[tex]\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7[/tex]

That means every x wich is greater than 7

4x 10x h = 4x
h = 10x

Answers

Step-by-step explanation:

the answer would be 40 4x 10x h = 4x

9a
+ 6b
Help please

Answers

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3 times 3a=9a

3 times 2b=6b

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3²•a+(2.3)b

3(3²•a/3 +2•3b/3)

3(3²-¹ •a +2b)

3(3a+2b)

Find M<1 A) 84 B) 90 C) 44 D) 168

Answers

Answer:

m∠1 = 90°

Step-by-step explanation:

Since the line is tangent to the circle, it creates a perpendicular bisector with the diameter. That means that the m∠1 has to be 90°

witch number is not a perfect square 1 25 30 36

Answers

Answer:

30

Step-by-step explanation:

It's just not a perfect square.

Answer:

30

Step-by-step explanation:

Perfect squares are numbers that can be expressed by another numbers times itself. The only number that is not a perfect square in this list is 30.

this is the question click it ​

Answers

Answer:

C.  

Step-by-step explanation:

5/8 = 20/32

20/32 ÷ 2 = 10/16

10/16 ÷ 2 = 5/8

Answer:

C

Step-by-step explanation:

You can see that both of the numbers are being multiplied by 4/4 which gives you a proportional relationship unlike the other answers there.

What is the value of x in the equation 3x – 1/9 = 18, when y = 27?

Answers

Answer:

Here you go mate!

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x - 1/9y = 18

Put y as 27 and evaluate.

3x - 27/9 = 18

3x - 3 = 18

Add 3 on both sides.

3x = 21

Divide 3 on both sides.

x = 7

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JL=25 and JM=5, find KM.

HELP ME PLEASE!!!!!!

Answers

Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

[tex]\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15[/tex]

please help! find the value of each shape

Answers

Answer:

see below

Step-by-step explanation:

red triangle= 36/2= 18

orange circle= 45- 18= 27

blue square= 53- 27= 26

Step-by-step explanation:

red= 18

yellow= 27

blue= 26

please help ! Find all the missing angel measures in angel 1,4,7,10,13 the picture is attached above please help !! It’s for geometry (:

Answers

Answer:  ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°

Step-by-step explanation:

There are three formulas you need to find the angles. Each formula is based on where the vertex lies.

On the circle: Measure of the angle = (1/2) the arc (Images 1-3)

∠4 = (1/2)°80             ∠10 = (1/2)(18° + 80°)           ∠13 = (1/2)130°

    = 40°                           = (1/2)98°                            = 65°

                                       = 49°

Inside the circle: (1/2) Sum of the Big arc and Little Arc (Image 4)

∠7 = (1/2) (130° + 70°)

    = (1/2)200°

   = 100°

Outside the circle: (1/2) Difference of Big arc and Little Arc (Image 5)

∠1 = (1/2)[(62° + 130°) - (70° + 18°)]

    = (1/2) (192° - 88°)

   = (1/2)104°

   = 52°

I can only add 5 attachments.  If you want to see image 6 (which contains the measures for all of the angles), you will need to ask the question again.  Sorry!

The perimeter of the rectangle is 34cm. The perimeter of triangle is 30 cm find the value of n

Answers

Answer:

It Should Be 12cm

Please answer this question now in two minutes

Answers

Answer:

(5, -3)

Step-by-step explanation:

(-16+x)/2 = -5.5 => x=5

(4+y)/2 = 0.5 => y=-3

Which property can be used to solve the equation? StartFraction d Over 10 EndFraction = 12 addition property of equality subtraction property of equality multiplication property of equality division property of equality

Answers

Answer:

multiplication property of equality

Step-by-step explanation:

Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;

Multiply both sides by 10

d/10 * 10 = 12*10

d = 120

It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality  was used to solve the equation.

11^-5 ÷ 11^-3 please help!!!!​

Answers

Answer:

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\Therefore, \frac{1}{a^{-m}}=a^{m}[/tex]

[tex]11^{-5}[/tex] ÷ [tex]11^{-3} = 11^{-5} * 11^{3}\\\\[/tex]            {[tex]a^{m}*a^{n} = a^{m+n}[/tex]  }

                   [tex]11^{-5+3} \\\\= 11^{-2}[/tex]

                 

Answer:

11^ -2  = 1 / 11^2 = 1/121

Step-by-step explanation:

11^-5 ÷ 11^-3

When the bases are the same, we subtract the exponents when dividing

11 ^ ( -5 - -3)

11 ^ ( -5+3)

11 ^ -2

We know that a^ -b = 1/a^b

1/ 11^2

1/121

What is the simplified form of x plus 2 over x squared minus 3x minus 10⋅ x minus 3 over x squared plus x minus 12 ? (6 points) Select one: a. 1 over the quantity x minus 3 times the quantity x plus 4 b. 1 over the quantity x minus 3 times the quantity x plus 2 c. 1 over the quantity x plus 4 times the quantity x minus 5 d. 1 over the quantity x plus 2 times the quantity x minus 5

Answers

Answer:

x+2

Step-by-step explanation:

write the problem out and then understand

Please answer it now in two minutes

Answers

Answer:

[tex]y=\frac{-5}{2}x+1.5[/tex]

Step-by-step explanation:

Well the equation we have [tex]y-4=\frac{-5}{2}(x-2)[/tex] is in slope-point form so we have to transfer it to slope intercept look at the first image below to see how I got [tex]y=\frac{-5}{2}x+9[/tex].

So we know that line T which is parallel to line S crosses through point (-1,4)

and we know that the slope stays the same and that its the y intercept has to change so the answer is [tex]y=\frac{-5}{2}x+1.5[/tex]. Look at the image second below.

Cylinder a has a radius 2 cm and contains water to a height of 10cm cylinder b has a radius 5cm and is empty. Some of the water is poured from cylinder a to b the height is now the same

Answers

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

[tex]Area=\pi r^2\\A=4\pi \ cm^2\\B=25\pi \ cm^2[/tex]

The initial volume in cylinder A is:

[tex]V=4\pi *10\\V=40\pi\ cm^3[/tex]

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

[tex]h_A=\frac{V_a}{4\pi}\\h_B=\frac{V_b}{25\pi}[/tex]

If both heights are the same:

[tex]\frac{V_a}{4\pi}=\frac{V_b}{25\pi}\\V_b=\frac{25}{4}V_a \\V_a+V_b=40\pi\\V_a+\frac{25}{4}V_a=40\pi\\V_a=5.5172\pi\ cm^3[/tex]

The height 'h' is:

[tex]h=\frac{5.5172\pi}{4\pi}\\ h=1.38\ cm[/tex]

simplify (3+ radical sign 2)(3- radical sign 2)

Answers

Answer:

using identity (a+b)(a-b) = a^2 -b^2

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