One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.

Angle GAF = 105°. Work out the value of n. ​

One Side Of A Regular Hexagon ABCDEF Forms The Side Of A Regular Polygon With N Sides. Angle GAF = 105.

Answers

Answer 1

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.


Related Questions

A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans

Answers

Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

The number of boxes required to hold 1000 cans is 100 bags.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, every Monday each student brings in a bag with 10 cans.

They put 10 bags into a box.

So, number of boxes required to hold 1000 cans

= 1000/10

= 100 bags

Therefore, the number of boxes required to hold 1000 cans is 100 bags.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Find the value of x in the equation below. 5.4=2x

Answers

Answer:

x = 2.7

Step-by-step explanation:

5.4 = 2x

2x = 5.4

Divide both sides by 2.

x = 2.7

Answer: x= 2.7

1. Divide 2 on both sides

2. cancel terms who have the same numerator and denominator

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

Answer:

please no of one is not function so sorry

PLS HELP!! I WILL GIVE BRAINLIEST

refer to attachments for the question

Answers

In ∆PQR and ∆MNR

PQ=MNQR=RN<Q=<M=90°

Hence by

Side angle side congruency

[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]

Step-by-step explanation:

PQ ≅ MN                    ⇒  Given

QR ≅ NR                     ⇒ Given

R is midpoint of PM    ⇒ Given

PR ≅ MR                      ⇒ Definition of midpoint

ΔPQR ≅ ΔMNR           ⇒ SSS postulate

Is w = 4 a solution to the inequality below? w < 11 5 yes no ​

Answers

Answer:

yes

Step-by-step explanation:

just sub in the 4 for the w and see if the equation can be solved. if it can, then w=4 is a solution.

since 4 IS less than 11 5, w=4 can be a solution.

Brainliest please!!! Have a good day!!!!

The cost to rent a moving van is $19.95 per day plus $0.52 per mile. The cost of renting a
car trailer to pull behind the van is $24.95 per day plus $0.24 per mile. Roberto is moving
from Los Angeles to Denver, Colorado. Which equation can he use to find his daily
rental costs c? (Use m for miles.)

Answers

Answer: 19.95 + 24.95 + (m times 0.52) + (m times 0.24)

Step-by-step explanation:

19.95 + 24.95 + (m times 0.52) + (m times 0.24)

The first 2 numbers are the one time costs then the numbers in brackets are for the cost per miles.

HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT

Answers

Answer:

Bryan

Step-by-step explanation:

Rate of Change

Answer:

Malory Makes more money than bryan

Step-by-step explanation:

PLS HELP PLS AND TY

Answers

i want to say 1.3, 1.4, 1 3/7
so the last answer

According to the text, approximately what percentage of college students drop out before obtaining a degree

Answers

Answer:

40% but there is no article so I looked it up

Step-by-step explanation:

some more math stuff I don't know of :(

Answers

They are both 40°. This is bc 180-65-75=40

Please help me this is due in the morning and I’m not very good at fractions (number two btw)

Answers

The answers will be -5,-1,-1 and 1

Answer:

-6, -5

-3, -3

0, -1

3, 1

Step-by-step explanation:

you are making cookies. The recipe calls for 5 cups of flour for every 2 cups of sugar.If you have 8 cups of flour, how many cups of sugar would you need?

Answers

Answer:

You should use 3 1/5 cups of sugar.

Step-by-step explanation:

Simplify the expression.

16-4[3+2÷(9-7)]

A) 0
B) 6
C) 30
D) 64​

Answers

please branliest if correct

It is 0 (A)

16-4(3+2:2)

16-4(3+1)

16-4 x 4

16-16=0

The answer to your question is A aka 0

Kristen and Marina are making prisms out of cardboard using the designs shown below.



Whose design uses more cardboard, and by how many square inches? Show how you determined your answer.

Answers

Answer:

kristen

Step-by-step explanation:

Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.​

Answers

Answer:

You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.

Step-by-step explanation:

Answer:

she got 5049$ back in profit

Step-by-step explanation:

First count how much numbers are away from 413 to 600 you get 187

Next you Multiply 187 x 27 = 5049$

Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply. The prediction is reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. A prediction cannot be made for a man who is 80 inches tall. A man who is 80 inches tall will likely wear a size 12. 5 shoe.

Answers

Answer:

A and C

Step-by-step explanation:

A. The prediction is reasonable.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

__________________________________________________________

Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.

Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?

Answers

Answer:

Yes, the point (4,10) satisfies the inequality.

Step-by-step explanation:

In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:

y ≥ 2x + 2

10 ≥ 2(4) + 2

Then solve:

10 ≥ 8 + 2

10 ≥ 10

Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).

This is probably easy oh well

Answers

c, the third answer…..
the third one which would be C.

There are 13 books on your shelf, and you will take 5 of them on vacation with you.

How many ways can the books be chosen?

Answers

Answer:

Important, funny and book about the place you are going?

can someone help me please​

Answers

Answer:

Step-by-step explanation:

One

The exterior angles of a triangle add up to 360. You know two of them. Therefore you can find w.

125 + 90 + w = 360    Combine like terms on the left

215 + w = 360             Subtract 215 from both sides

w = 360 - 215              Combine

w = 145

Two.

The polygon has 4 exterior angles. They too should add up to 360.

88 + x + 108 + 115 = 360     Combine the left had side

x + 311 = 360                       Subtract 311 from both sides

x = 360 - 311                        Combine

x = 49

What have you learned? You should notice that all polygons have exterior angles that add up to 360

Question 3 options:
The science club fires a rocket up into the air.

The height (h) of the rocket, in feet above the ground,

is modeled by the formula h=400t−16t2, where t is the time in

seconds after the rocket is launched.

How many seconds will it take for the rocket to fall to the ground?

Find the value of t, rounded to the nearest tenth.

[how many seconds it took for the rocket to hit the ground].

t =

Answers

The height of an object can be represented as a function of time.

It takes the rocket 25 seconds to hit the ground

The height function is given as:

[tex]\mathbf{h(t) = 400t - 16t^2}[/tex]

When the rocket hits the ground, we have:

h(t) = 0

So, the height function becomes

[tex]\mathbf{ 400t - 16t^2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 16t^2 = 400t}[/tex]

Divide both sides by 16t

[tex]\mathbf{ t = 25}[/tex]

Hence, it takes the rocket 25 seconds to hit the ground

Read more about height functions at:

https://brainly.com/question/22573423

The number 59 is increased to 60. What is the percentage by which the number was
increased, to the nearest tenth of a percent?

Answers

Answer:

the answer is 1.7

Step-by-step explanation:

Which variable expression represents the following word phrase?
one-half the sum of a number and three

Answers

Answer:

The correct choice should be B.

Tell me if I'm wrong.

5/6 divided by [13/11]

Answers

Answer:

0.70512820512 round to the nearest hunderth

Step-by-step explanation:

how do I become good at fortine ​

Answers

Answer:

practice.

Step-by-step explanation:

hope this helps. . . <3

good luck!     uωu

Answer:

umm work harder I guess -,-

Step-by-step explanation:


What are the values of m and n

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]m = 60 \degree[/tex]

[tex]n = 30 \degree[/tex]

Refer to attachment for solution ~

-5 x -0.2 i got stuck here

Answers

A negative times a negative is a positive. The answer is 1

You and your friend are selling magazine subscriptions for a fundraiser after W weeks if you have sold (4w+1) subscriptions and your friend has sold (8w+6) subscriptions

Answers

Answer:

(4w+1)-(8w+6)

Step-by-step explanation:

Hope this helps :)

it takes an ant farm 3 days to consume 1/2 of an apple. At that rate in how many days will the ant farm consume 3 apples

Answers

Answer:

18 days

Step-by-step explanation:

1/2 apple = 3 days

3 apples = 18 days

18 days
as 1/2 of a apple takes 3 days.
1 whole apple = 6 days
6 x 3 = 18.

-4(x+9)+44=16-5x
solve the equation

Answers

Maybe 8/11, if you want it as a decimal it’s 0.723…
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