The polygon below represents a regular octagon.
Calculate the following angles. You must show your working.

The Polygon Below Represents A Regular Octagon.Calculate The Following Angles. You Must Show Your Working.

Answers

Answer 1

Answer:

a). x = 135°

b). y = 45°

c). z = 67.5°

Step-by-step explanation:

Since sum of interior angles of a regular polygon is represented by,

Sum of interior angles = (n - 2) × 180°

Here n = number of sides

For a regular octagon, n = 8

Sum of interior angles = (8 - 2) × 180° = 1080°

And measure of one interior angles = [tex]\frac{\text{Sum of interior angles}}{n}[/tex]

                                                         x = [tex]\frac{1080}{8}[/tex]

                                                         x = 135°

From the figure attached,

Angle C has been divided in 6 equal parts,

Therefor, m∠ECD = [tex]\frac{135}{6}[/tex] = 22.5°

Since ∠ECD ≅ ∠CED,

m∠CED = 22.5°

Since m∠E = 135°

m∠FEC = 135 - 22.5 = 112.5°

In ΔFEC,

m∠FEC + m∠ECF + m∠CFE = 180°

112.5 + 22.5 + z = 180

z = 180 - 135

z = 45°

Similarly, in ΔCGF,

m∠CGF + m∠CFG + m∠GCF = 180°

(135 - y)° + (135 - z)° + 22.5° = 180°

270 - (y + z) + 22.5 = 180

292.5 - (y + 45) = 180

247.5 - y = 180

y = 247.5 - 180

y = 67.5°

The Polygon Below Represents A Regular Octagon.Calculate The Following Angles. You Must Show Your Working.

Related Questions

Solve for x 5 x + 2 = 7 x − 4 plz help me

Answers

Answer:

3

Step-by-step explanation:

5 x + 2 = 7 x − 4

7x-5x= 2+4

2x= 6

x= 3

Answer:

The value of x in this equation is 3.

Step-by-step explanation:

5x + 2 = 7x - 4

Subtract 7x from both sides of the equation.

-2x + 2 = -4

Subtract 2 from both sides of the equation.

-2x = -6

Divide by -2 on both sides of the equation.

x = 3

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.

A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.

Answers

Answer:

B

Step-by-step explanation:

The soccer player has g goals and a assists.

For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.

And, that total number of points is equal to 42, so we can write:

2 * g + 1 * a = 42

2g + a = 42

Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:

g + a = 24

Thus, our system is:

g + a = 24

2g + a = 42

The answer is B.

~ an aesthetics lover

Answer:

The correct answer is B. g + a = 24. 2 g + a = 42

A,B and C are three points lying in that order on a straight line. A body is projected from B towards A with speed 3m/s. The body experiences an acceleration of 1m/s² towards C. If BC=20m, find the time taken to reach C and the distance travelled by the body from the moment of projection until it reaches C.​

Answers

Answer:

The total time taken to reach C = 10 s

The total distance traveled by the body = 29 m

Step-by-step explanation:

Whereby the points are vertically oriented, we have;

v = u + at

Where;

a = Acceleration of the body = -1 m/s²

u = Initial velocity = 3 m/s

v = Final velocity, = 0 m/s at maximum height

t = Time taken

0 = 3 + (-1)× t

t = 3 s

The maximum height S is given as follows;

S = u·t  + 1/2·a·t² = 3×3 + 1/2×(-1)×3² = 4.5 m

Therefore, the total distance, [tex]S_t[/tex], from maximum height to C = 45 + 20 = 24.5 m

The total time is given from the total distance as follows;

[tex]S_t[/tex]  = u[tex]_m[/tex]·t[tex]_t[/tex]  + 1/2·a[tex]_d[/tex]·t[tex]_t[/tex]²

Where;

u[tex]_m[/tex] = Initial velocity from the maximum height = 0 m/s

a[tex]_d[/tex] = Downward acceleration = Opposite sign to upward acceleration = 1 m/s²

24.5  = 0·t[tex]_t[/tex]  + 1/2·(1)·t[tex]_t[/tex]²

49 = t[tex]_t[/tex]²

t[tex]_t[/tex] = √ 49 = 7 s

The total time taken to reach C = Initial time to reach maximum height + Time from maximum height = 3 s + 7 s = 10 s

The total time taken to reach C = 10 s

The total distance traveled by the body = Distance from B to maximum height + Distance from maximum height to C

The total distance traveled by the body = 4.5 m + 24.5 = 29 m.

The total distance traveled by the body = 29 m.

El entrenamiento de basquet se una situación de una institución educativa debe elegir a uno de los dos deportistas que están en la banca para que ingrese al campo en un partido decisivo durante los juegos deportivos escolares nacionales. Pará tomar la decisión, consulta una tabla con la puntuación de cada uno de ellos en los partidos anteriores. Los puntos anotados por cada deportista de los cinco últimos partidos figuran en la siguiente tabla

Answers

Answer:

los pala de depotistas ingrese banca para tomar la decision

Step-by-step explanation:

Can some one help me

Answers

Answer:

Step-by-step explanation:

divide 4 and 2 then add 2 and 1

Answer:

y = - 4x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)

m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1) , then

1 = - 16 + c ⇒ c = 1 + 16 = 17

y = - 4x + 17 ← equation of line

What is the rate of increase in water pressure in atm/km

Answers

Answer:

Rate of increase in water pressure is 992

Step-by-step explanation:

A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?

Answers

Answer:

2.38 Kg were eaten

Step-by-step explanation:

first we should divide 34 by 100

the result will be 0.34

then we multiply 0.34 x 7 Kg = 2.38 Kg

HELP
Find the volume of the sphere in terms of Pi

Answers

Answer:

Hey there!

The volume of a sphere is 4/3pir^3

If d=5, then r=2.5,

Thus, we have 4/3(15.625)pi

20.83pi

The first choice is correct.

Hope this helps :)

Answer: num 1

Step-by-step explanation:

4/3*pi*r^3

4/3*pi*15.625

20.83*pi

hope i halped

can i get brainliest?(im trying to level up)

pls

          -Zylynn

How long will it take an airplane to travel 1,250 km if it is traveling at 150 km/hr ?

Answers

Answer:

[tex]\boxed{Time = 8.33 hrs}[/tex]

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

What is the missing value in this table of equivalent ratios?

Answers

Answer:

A

Step-by-step explanation:

follow the pattern  in its timetables,hope this helps u!

What has to be broken before you use it?

Answers

Answer:

An egg has to be broken before you use it

I am a quadrilateral with 2 pairs of equal sides.
I also have 2 pairs of parallel sides. I have no lines of
symmetry.
What am I?

Answers

Answer:

Parallelogram

Pls Mark As Brainliest

02.27.49
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three
options.
rectangular prism
VX
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Next
Submit
Mark this and return

Answers

Answer:

Rectangular prism, triangular prism, cylinder

Step-by-step explanation:

has base in the form of rectangle,so when cut perpendicular to base,the base as well as other faces, will be in the shape of Rectangle. Same for the triangular prism and cylinder.

PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?

Answers

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]

[tex]d=\sqrt{7^2+7^2}[/tex]

[tex]d=\sqrt{2(7)^2}[/tex]

[tex]d=7\sqrt{2}[/tex]

PLS HELP 85 POINTS PLEASE PLEASE PLEASE!!! A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1: 4 Sample 2: 1 Sample 3: 9 How do the sample statistics compare to the population mean and standard deviation?

Answers

Answer:

0.3007 or 30.07%

Step-by-step explanation:n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50

multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125

square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Given:

250 sheep in a 40-acre pasture.

250/40 = 6.25 or 6 sheep per acre

n = 6

Sample 1: 4 → 4/6 = 0.67

Sample 2: 1 → 1/6 = 0.17

Sample 3: 9 → 9/6 = 1.50

Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211

Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411

Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

Sample 1: 0.2211/6 = 0.03685

Sample 2: 0.1411/6 = 0.02352

Sample 3: -0.75/6 = -0.125

Sample 1: √0.03685 = 0.1919

Sample 2: √0.02352 = 0.1534

Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error

Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error

please mark me brainliest!

simplify the expression (x - 2y) + (3x + 4y)

Answers

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

Water is being pumped into a reservoir tank. The total amount of water (w) after an amount of time (t) is given by the equation w =100+55t . If the total amount of water that will fit in the tank is 540 gallons, how much time will it take to fill the tank

Answers

Answer:

it will take 8 minutes

Step-by-step explanation:

Here, we want to

calculate the amount of time taken to fill the tank given the total amount of water in the tank.

Mathematically, the formula go

use is ;

w= 100 + 55t

540 = 100 + 55t

55t = 540-100

55t = 440

t = 440/55

t = 8

Please help me I will give BRAINLIST and a like :))))

Answers

Answer:

18.75%

Step-by-step explanation:

Hello,

3 students are both female and senior

the total number of students is 7+10+8+5=30

so the probability to select one female senior is 3/30=1/10=0.10

probability to select one female is 16/30=16/30

probability that the student is a senior given that it's female is

=P(female and senior)/P(female)

=1/10*30/16=3/16

hope this helps

Answer:

19%

Step-by-step explanation:

Find the number of female students

3+4+6+3 = 16

P( senior given that it is female = senior/ female

                                                    = 3/16

                                                      =.1875

                                                       18.75%

To the nearest whole percent   19%

Angle BDC measures 42°. What is the measure of angle BAC

Answers

Answer:

42°

Step-by-step explanation:

These traingles are refelctions, A≅D   B≅C

Miguel babysits for 3 hours and earn 15 which represents the unit rate?

Answers

Answer:

15

Step-by-step explanation:

Answer:  

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

Option  D

(D) $5 per hour

Step-by-step explanation:

$5.00 Per Hour Represents unit rate,  15 / 3 = 5

a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the person is standing on top of building to the person on the ground is 39°. How far away are the two people from each other?​

Answers

Answer:

246.979 ft

Step-by-step explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal x. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979

someone help with question number 3 asap

Answers

Answer:

Please check the attached file.

Hope this helps!

:)

Answer:

the side opposite to right angle is hypotenuse ,AB is side opposite to thita nd BC is the side adjacent to thita.

math is not my strong suite so maybe someone can help me out?? If sin y° = 7 divided by q and tan y° = 7 divided by r, what is the value of cos y°? (6 points) cos y°= r divided by q cos y° = 7r cos y° = 7q cos y°= q divided by r

Answers

Answer:

A. cos y°= r/q

Step-by-step explanation:

Problem: If sin y = 7/q and tan y = 7/r, what is the value of cos y?

A. cos y°= r/q B. cos y° = 7r C. cos y° = 7q D. cos y°= q/r

Answer:

sin y = opp/hyp = 7/q

tan y = opp/adj = 7/r

opp = 7; hyp = q; adj = r

cos y = adj/hyp = r/q

Answer: A. cos y°= r/q

Answer:

cos y = r/q

Step-by-step explanation:

Hey! took the test got it right decided to put it here have a good day!

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:  tan(14x)

Step-by-step explanation:

Consider the Sum Formula for tan:

[tex]tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}[/tex]

Answer:

[tex]\tan(4x)[/tex]

Step-by-Step Explanation:

Notice that this resembles the difference identity for tangent. Specifically:

[tex]\displaystyle \tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\tan(\beta)}[/tex]

So, given our equation, we can pretend that α=9x and β=5x. Therefore:

[tex]\displaystyle \frac{\tan(9x)-\tan(5x)}{1+\tan(9x)\tan(5x)}=\tan(9x-5x)=\tan(4x)[/tex]

how do you calculate a length of a triangle

Answers

Answer:

Perimeter-width=Length

Hope this helps :)

Answer:

Area- A= b (base) times h (height) divided by 2

Perimeter- P= a+b+c

Step-by-step explanation:

Which table represents a linear function

Answers

Answer:

The first photo

Step-by-step explanation:

Its a i think

Classify the following triangle. Check all that apply.

Answers

Answer:

Isosceles, obtuse triangle

Step-by-step explanation:

The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.

The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Anyone I need help at this dont type other things. Pls now I need the solution anyone.

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Since there are 360° in the complete pie chart the 40° represents

360° ÷ 40° = 9 parts of the chart

Since 40° represents 7 cars then there are a total of

9 × 7 = 63 cars in the car park

(b)

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Given C = 28 , then

πd = 28 ( divide both sides by π )

d = [tex]\frac{28}{\pi }[/tex]

Help me please 20 points!!!

Answers

Answer:

Step-by-step explanation:

7- 4!= 4*3*2*1=24

8-  10C3 = 10!/(3!*(10!-3!) = 120

9- 7 P3 =7!/(7-3)! = 210

A map has a scale of 1 cm to 3.2 km. The real-life distance between two towns is 64 km. What is the distance between the two towns on the map?

Answers

Answer:

20 cm

Step-by-step explanation:

64/3.2 km = 20cm

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