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

Find the equation of the line passing through the following : (-1;6) and (-3;0)

Please help... ​

Answers

Answer:

Step-by-step explanation:

[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9

The students in Tisha's grade voted to select a guest speaker. 75% of the students voted for a famous athlete. If there are 52 students in Tisha's grade, how many students voted for the athlete?

Answers

Answer:

39

Step-by-step explanation:

75% of 52 is 39

Hope this helps!

Write an equation in slope-intercept form of the line shown. (-6, 4) (-2, 2)

Answers

Y=-1/2+1, y equals negative one half plus one

No links. Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in one year

Answers

Answer:

$1236

Step-by-step explanation:

3%=1.03 as a decimal multiplier

1200 x 1.03 = $1236

PLEASSSSSSE HELP, WILL GIVE BRAINLIEST


How many chromosomes would a diploid offspring have when the haploid sex cells contain 46 chromosomes?

23

46


58

92

Answers

Answer:

I think its 46 since the 2 speices need the same amount of chromosomes to make an offspring

Step-by-step explanation:

one angle of a right triangle measures 80degrees.what is the measure of the other acute angle

Answers

Answer:

10°

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, it is a right triangle so an angle is 90 °, you know another one and it is 80 °, from 180 ° you remove the two known angles and you have the measure of the unknown one.

180 - 90 - 80 =

10°

Jacob has a headache. He can't stand long lists. "Can you repeat that again?" he asks. "It's easy. Name a number that is greater than 10, less than 20, is a multiple of 7, and FINALLY is a factor of 42," Replies Eric.

Answers

i think it would be 14. greater than 10 and less than 20. 42/3 is 14 and 7 times 2 is 14

Answer:

Well here are the constraints given to us here

Lets make this number “x”

x > 10

x< 20

7x

X = 1, 2, 6, 7, 21, 42

So with all this we can come up with this

10 < 7x < 20 = 1, 2, 3, 6, 7, 14, 21, 42

So lets cut this down a bit

It’s gotta be a multiple of 7 so we can get rid of 3 of the solutions

It can be 7, 14, 21, 42

Now it has to be more then 10 but less then 20

So that gets rid of everything except 14

14 is your answer

9y?+21yz -8y?
hey, cansomebody help me? we've to factorize.​

Answers

Factor the polynomial.
y ( y + 21 z^4 )

The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 9y² + 21yz⁴ - 8y²

Simplify the expression, then we have

⇒ 9y² + 21yz⁴ - 8y²

⇒ y² + 21yz⁴

Factorize the expression, then we have

⇒ y² + 21yz⁴

⇒ y(y + 21z⁴)

The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).

More about the factorization link is given below.

https://brainly.com/question/6810544

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ANSWER ASAP WILL AWARD BRAINLIEST

Answers

Answer:

18/5 + −8/5√3 (as a decimal: 0.828719)

Here is the Answerr attached

The price of a stock was $24.56 per share. An investor decided to spend $5,000 to buy shares of the stock. To the nearest whole number, what is the maximum number of shares of stock that the investor can buy

Answers

Answer:

203 i just did it

Step-by-step explanation:

Answer:

the answer is 203

Step-by-step explanation:

Just got it right on edge 22

At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50




And how much is an adult ticket?how much is an child ticket?

Answers

Answer:

A

Step-by-step explanation:

if a = amount of adult tickets and c = amount of children's tickets

4 adult tickets plus 2 children's tickets equals $36.50

4a + 2c = 36.50

Also, 3 adult tickets and 5 children's tickets equals $38.75

3a + 5c = 38.75

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

Answer:

A is the best answer to give

BRAINLIST ???

Answer:

C a line that shows the set of all solutions to the equation

Step-by-step explanation:

y = -4x+7  is the slope intercept form of a line

The slope is -4 and the y intercept is 7

Assuming lines m and n are parallel, what is the value of x?

Answers

If the two lines are parallel then the two angles are equal - vertically opposite angles are always equal:
6x - 7 = 4x - 1

First get all the x’s on one side and the numbers on the other:
6x - 4x = -1 + 7

This can be simplified:
2x = 6

Finally, divide both sides by 2:
x = 3

Hope this helps!

4x – 5y = 15


m=
b=

(I need to graph the linner equation)

Answers

Answer:

yea I agree that this is correct and it's 15 and it's 4x

A certificate of deposit with principal $150 earns 4% annual interest for 2 years. Select all the options that would earn the same amount of interest.
$300 at 2% for 2 years

$150 at 6% for 18 months

$400 at 3% for 1 year

$100 at 1% for 8 years

$50 at 48% for 6 months​

Answers

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.

As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
1. $300 at 2% for 2 years

Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12

Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12

Thus, Options A, C, and E are correct.

Learn more about simple interests here:

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Geometry:
Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1. <6 and <3
2. <4 and <7
3. <5 and <4
Pls help me i have no idea what i'm doing:(

Answers

Answer:

Step-by-step explanation:

.<6 and <3

SOLUTION:  

Interior angles that are non adjacent and lie on

opposite. In the figure, angles <5 and <4 are consecutive interior

angles. sides of the transversal are alternate interior

angles.

<4 and <7

SOLUTION:  

In the figure, angles 1 and 3 are corresponding

angles. Use the Corresponding Angles Postulate:

If two parallel lines are cut by a transversal, then

each pair of corresponding angles is congruent

Here is the problem: (Picture)

Answers

Answer:

c

Step-by-step explanation:

Evaluate the expression x=7.x+8

Answers

Answer:

15

Step-by-step explanation:

For each time I see x, I replaced it with 7 because I know that x is equal to 7.

I only see one x so I am only replacing that one x so instead of x + 8, I get 7 + 8 and you could split 8 into 5 + 3 and split 7 into 5 + 2.

5 plus 5 is 10. If you are having trouble adding the numbers you could put up 5 fingers first and then add one finger up one by one to still the number 10. Now that just leaves you with 3 + 2.

You could first put up 3 fingers and then add two more to get a total of 5 fingers.

At last, you could just add 10 + 5 to get 15 in total.

Hope this works you!!!

Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. Siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos. De 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados,
mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados. ¿Estos datos confirman la posición de Danny? Sea =., y pruebe la hipótesis

Answers

Existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.

Dado que Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos, y de 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados, mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados, para determinar si estos datos confirman la posición de Danny se debe realizar el siguiente cálculo:

202/312 = 0.6474102/205 = 0.4975

Por lo tanto, existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.

Aprende más en https://brainly.com/question/19296932

Which of the following decimals is equal to 3 1/40 ? Select TWO that apply

A 3.0025
B 3.025
С 3. overline 0025
D 3.overline 025
E 3.0025 overline0
F. 3.025overline0​

Answers

Answers:  Choice B, Choice F

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

Explanation:

Use long division or your calculator to find that 1/40 = 0.025

Add on 3 to get 3 & 1/40 = 3 + 1/40 = 3 + 0.025 = 3.025 which is choice B

For some reason, your teacher has decided to add on a string of 0's onto this to form [tex]3.025\overline{0}[/tex] that horizontal line over the '0' means the 0's go on forever. So, [tex]3.025 = 3.025\overline{0} = 3.025000000...[/tex], but we can always chop off the trailing zeros to make life simpler. I'm not sure why your teacher has decided to use this fairly strange format.

The decimal value is equivalent to 3.025.

What are decimal numbers?A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

We have the following fraction -

3 [tex]\frac{1}{40\\}[/tex]

We can write the mixed fraction as -

3 [tex]\frac{1}{40\\}[/tex]

(40 x 3 + 1)/40

121/40

3.025

Therefore, the decimal value is equivalent to 3.025.

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

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simplify by combining like terms 3k-2k​

Answers

The answer would be 1k

Answer:

k

Step-by-step explanation:

3k-2k=1k

1k=k so this is the answer

At the craft store, Ivan bought a bag of orange and purple marbles. The bag contained 48 marbles, and 75% of them were orange. How many orange marbles did Ivan receive?

Answers

Answer:

jjjjjjjjjjjjjjjjjjjjjjjj

solve for the wavelength frequency and energy then identify the type of electromagnetic wave to complete the table​

Answers

Answer:

See attachment

Step-by-step explanation:

λν = c  [Wavelength, λ (lambda), times frequency, ν (nu), equals the speed of light.]

c = 3.0 x 108 m/s.

E = hν

h = Plank's constant = 6.626x10-34 J-s

I put the data in a spreadsheet and calculated the values as per the equations above.  The table showing the types of energy was not attached, so I left that column blank.  I assume it is looking for labels such as UV, Visible, IR, Radio, etc.

If you can get poland spring water, 3 for $11.00 how much would be 2 cases of water?

explain

Answers

3 cases /3= $11 /3

1 case x 2= 11/3 x2

2 case = 22/3 = (round to the hundreth) $7.33

please help me asap

Answers

It is linear. I hope that helps!


can i get brainliest? i need one more to move up to Ace

Solve the system of linear equations below.

6x + 3y = 33
4x + y = 15


A x = 2, y = 7

B. X = -13, y = 7

C x = -2/3, y = 12*2/3

D. x = 5, y = 1

Answers

Answer:

A

Step-by-step explanation:

6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)

4x+y=15 (2)

(1)-(2) <=> y=7

Answer:

A x = 2, y = 7

Step-by-step explanation:

6(2)+3(7)= 33

4(2)+(7)=15

Given that
2
x

9
y
=
11

Find
y
when
x
=
7

Answers

Answer:

y = 1/3

Step-by-step explanation:

[tex]2x-9y=11\\\\2(7)-9y=11\\\\14-9y=11\\\\-9y=-3\\\\y=\frac{1}{3}[/tex]

2 1/5

Step-by-step explanation:

Any where u see x u write 7;

2(7)-9y=11

14-9y=11

Divide both sides by the difference of 14 and 9y

11/5y ; y=2 1/5

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

(correct the error below!)

first term =4
common difference =8
tenth term =4 +10(8) = 84

Answers

Answer: The tenth term is 76

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

Explanation:

We use this arithmetic sequence formula to get the nth term

[tex]a_n = a_1 + d(n-1)[/tex]

Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:

[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]

The tenth term is 76

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.

I really need help on these 3 problems however helps me I just want to say god bless u and thanks for taking your time to answer my question #24, #28, # 29

Answers

Answer: how nice of you :) may god bless you too however You didn’t send the questions

What is f(-1)?

PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

y=3, you can see it when you start from ×=-1 and then follow the line in the graph

Answer:

f(-1) = 3

Step-by-step explanation:

You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.

Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.

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