Find the measure of one interior angle of a regular 23-gon.

A. 164.3
B. 160
C. 165.6
D. 161.1

Answers

Answer 1
The measure of one interior angle of a regular 23-gon is 164.3°
The sum of interior angles in a polygon is given by the formula

Where is the sum of the interior angles
and is the number of sides
To find the measure of one interior angle in a regular polygon, we divide the sum of the interior angles by the number of sides. That is,
Measure of one interior angle in a regular polygon =
From the question, we are to determine the value of one interior angle of a regular 23-gon.
A regular 23-gon has 23 sides

From the formula
Measure of one interior angle in a regular polygon =
Measure of one interior angle in the regular 23-gon =
=
=
= 164.3478°
≅ 164.3°
Hence, the measure of one interior angle of a regular 23-gon is 164.3°

Related Questions

Why might the overall prediction accuracy of a classification model be a misleading measure of performance

Answers

Answer:

Do u have any more information?

Step-by-step explanation:

help with all of these please ! i’m on a time limit and i don’t have much time left.

Answers

Answer:

1.  10.235

2.  213.5

3.  46

4.  225

5.  530

Help pleaseeeee......!

Answers

Answer:

D.) QS ≅ NR

Step-by-step explanation:

Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)

Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.

Answer questions for points

Answers

Step-by-step explanation:

wat questions are we needed to answer

Answer:

Hello! Thank you for the points! Trying to rank up here!

find out 4 equivalent of each of the fraction.
4/7,__,__,__,__.

Answers

Answer:

4/7 x 2 = 8/14

4/7 x 3 = 12/21

4/7 x 4 = 15/28

4/7 x 5 = 20/35

Step-by-step explanation:

4/7 x 2 = 8/14

4/7 x 3 = 12/21

4/7 x 4 = 15/28

4/7 x 5 = 20/35

Have an amazing day!!!

PLEASE RATE!!

Hello.

Please remember that equivalent means equal.

So we need to find 4 fractions that are equal to

[tex]\displaystyle\frac{4}{7}[/tex]

There are infinitely many fractions equal to the given fraction; we need just 4 of them.

First, let's multiply the numerator (4) and the denominator (7) times 2:

[tex]\displaystyle\frac{8}{14}[/tex]

Now, let's multiply the numerator and denominator of this fraction by 2:

[tex]\displaystyle\frac{16}{28}[/tex]

Multiply by 2 once more:

[tex]\displaystyle\frac{32}{56}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

The expression 15 – 5xy can be written as​

Answers

Answer:

Hey there!

15 – 5xy

=> Factor 15+5xy

5xy+15

=5(xy+3)

Answer:

5(xy+3)

Or, 5(3 - xy)

The graph below represents the relationship between the number of days a book is overdue and the library fine charged. A graph titled Library Fines. The horizontal axis shows days overdue and the vertical axis shows the fine (dollars). The line shows an increase to $10 at 19 days overdue, then constant. Christen returned an overdue book to the library. Her fine was the same as it would have been if she returned the book the previous day. Which of the answer choices below could be the number of days Christen’s book is overdue? 10 14 18 22

Answers

The number of days Christen's book is overdue could be 22 according to options given.

The graph which represents the relationship between the number of days a book is overdue and the library fine charged is attached below :

According to the graph, a constant relationship exists between the number of days a book is overdue and the library fine charged when the Number of days book is  overdue is about 19 days and above such that the library fine charged stays the same at $10.

Since we are told that Christen's fine for returning the book is the same as the fine she would have paid if book was returned yesterday, then, the number of days Christen's book is overdue could be 20 days and above.

The only value above 20 from the options given is 22.

Hence, 22 is the valid answer.

Answer The correct answer is d.) 22

Step-by-step explanation:  

I got the answer right on the Edge quiz. Trust me!

Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23

Answers

Answer:

(1)8 + (5)3=23 or if your in middle/elm use this 8x1 + 5x3=23       Step-by-step explanation:  if you do 8x1=8 5x3=15  

8+15=23

HELP PLS What is the mtw?

Answers

Answer:

mTW = 230

Step-by-step explanation:

Remark

You have to assume that O is the center of the circle. Two sectors are marked as equal, so equate them to find x

Equation and Solution

5x + 5 = 4x - 20               Subtract 5 from both sides

5x + 5 - 5 = 4x+ 20 - 5    Combine

5x = 4x + 15                     Subtract 4x from both sides.

5x-4x = 4x-4x + 15

x = 15

TOU = 5*15 + 5 = 80

VOW = 80                         TOU and VOW  are marked as equal

UOV = 6x -20 =  70

Total of all three = 80 + 80 + 70 = 230

26490 rounded to the nearest ten thousand

Answers

Answer:

30,000

Step-by-step explanation:

26,490 becomes 30,000

30,000

2 is in the ten thousands place.
the next number to the right is over 6 so the 2 will round up to 3 and any number after that turns into 0

A doctor wants to research if there is any difference in the birth weights of a mother's first child and second child. Suppose that data were collected for a random sample of 10 mothers with 2 children, where each difference is calculated by subtracting the weight of the first child from the weight of the second child. Assume that the weights are normally distributed. The doctor uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is calculated as −1.101, which has 9 degrees of freedom. If the p-value is greater than 0.10 and the significance level is α=0.10, what conclusion can be made about the birth weights of a mother's first 2 children?

Answers

Answer:

There is not sufficient evidence to conclude that there exists significant difference in the birth weights of a mother's first child and second child at 10% level of significance.

Step-by-step explanation:

When our p-value exceeds level of significance then we fail to reject our null hypothesis. In this scenario we are investigating if there exists significant difference in the birth weights of a mother's first child and second child and our null hypothesis is there exists no significant difference in the birth weights of a mother's first child and second child i.e.μd=0.

As we are given that p-value is greater than 10% level of significant so, we cannot reject our null hypothesis. Thus, the conclusion statement can be written as "There is not sufficient evidence to conclude that there exists significant difference in the birth weights of a mother's first child and second child at 10% level of significance."

what is the circumfrence of 18

Answers

Answer 3.14 x 18 =56.55

50 POINTS Which polynomial is a quartic trinomial?

Answers

Step-by-step explanation:

The first choice is a quartic trinomial

1. 237 + 496 =
1. 600 - 321 =
7. 993 - 294 =

Answers

Answer:

237+496= 733

600-321= 279

993-294= 699

A class has 36 students in it and 25% of the students wore hats to school.What fraction of the students wore hats?

Answers

Answer:

9/36 or 1/4

Step-by-step explanation:

Which function represents the sequence?
Assume the domain for the function is integers greater than or equal to 1.

1/3, 1/9, 1/27, 1/81...

Answers

Answer:

f(x)=1/3(1/3)x-1

Step-by-step explanation:

f(x)= x1(r)^x-1

x1= the first term

r= rate of change

f(x)=1/3(1/3)x-1

what is the solution to x4 - 12x2+10>0

Answers

Answer:

  (-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)

Step-by-step explanation:

Using x^2 = z, the equation can be rewritten as ...

  z^2 -12z +10 > 0

  (z -6)^2 -26 > 0

  |z -6| > √26

This resolves to two equations.

This one ...

  x^2 -6 < -√26 . . . . substitute x^2 for z

  |x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|

  -√(6-√26) < x < √(6-√26)

__

and this one ...

  x^2 -6 > √26

  |x| > √(6 +√26)

  x < -√(6 +√26) ∪ √(6 +√26) < x

51:30
If one term of a proportion is not known, what can be used to find the value of that term?
a substitution
c cross-multiplication
b. graphing
d. adding all the numbers together
Please select the best answer from the choices provided
CA
B

Answers

Answer:

The correct option is 'c' cross-multiplication

Step-by-step explanation:

Please answer if you know how to do it please, thank you

Answers

9514 1404 393

Answer:

  9.  vertex: (1, -2)

  10.  dashed line, shaded inside, opens down, (neither point is a solution)

Step-by-step explanation:

The graph is attached. Either the graph or the equation will tell you the vertex is (1, -2). Since the leading coefficient is negative, the parabola opens downward. Since the comparison is "y < ( )", shading is below the boundary line, so shading is inside the parabola.

The point (0, 0) is outside the parabola, so is not a solution. The point (2, -3) is on the (dashed) boundary line, so is not a solution. (The boundary line is dashed because points on it are not part of the solution set.)

__

The inequality is written in vertex form:

  y < a(x -h)^2 +k . . . . . . . . has vertex (h, k)

The value of h in your inequality is 1, and the value of k is -2, so the vertex is (1, -2) as read from the inequality itself. (No graphing needed.)

1. Which of the following are equivalent to 24?
Select all that apply. Then choose 2 of your
selection and explain or show how they are
equivalent to 24.
a. 2 x 2
b. 2 2
C.4-22
d. 4X4
e24
f. 8 X 2
g. 26 : 2

Answers

Answer:

a

Step-by-step explanation:

200m - 100m + 48,250 = 50,250 - 150m

Answers

Answer:

m=8

Step-by-step explanation:

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\underline{ Solution \:1}}}[/tex]

Yes, ΔEDF and ΔBCA are similar

If we look at the both the triangles then the

[tex]\sf{ {\angle} E = {\angle}B }[/tex][tex]\sf{ {\angle} F = {\angle}A }[/tex]

From above, we can conclude that :-

Both the triangles are similar by AA Similarity

Hence, Option A is correct.

[tex]\bold{\huge{\underline{ Solution \:2}}}[/tex]

Let consider the given triangle be ABC and the line that divides the triangle consider it as DE

Here, DE || BC

So,

[tex]\sf{\dfrac{ AD }{ AB }}{\sf{ = }}{\sf{\dfrac{AE}{AC}}}{\sf{=}}{\sf{\dfrac{DE}{BC}}}[/tex]

Therefore,

ΔABC similar to ΔADE by SSS congruence similarity criterion.

Now,

We have to find the value of x

In ΔABC, By using BPT theorem

If the line is drawn parallel to one side of the triangle which intersect the other two sides at specific points then the other two sides are in proportion .

That is,

[tex]\sf{\dfrac{ AD }{ AB }}{\sf{ = }}{\sf{\dfrac{DE}{BC}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 6 }{ 6 + 4 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]\sf{\dfrac{ 6 }{ 10 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]\sf{\dfrac{ 3 }{ 5 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]{\sf{ x = 8{\times} }}{\sf{\dfrac{5}{3}}}[/tex]

[tex]{\sf{ x = }}{\sf{\dfrac{40}{3}}}[/tex]

[tex]{\sf{ x = 13}}{\sf{\dfrac{1}{3}}}[/tex]

Hence, Option C is correct

[tex]\bold{\huge{\underline{ Solution \:3}}}[/tex]

Here,

SRT similar to BAC

For x,

By using BPT theorem,

[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{BC}{ST}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]

[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{6}{2}}}[/tex]

[tex]\sf{ x = 3 }[/tex]

Thus, The value of x is 3

For y

Again by using BPT theorem,

[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{AC}{RT}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]

[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]

[tex]\sf{ y = 5{\times}2 }[/tex]

[tex]\sf{ y = 10 }[/tex]

Thus, The value of y is 10

Hence, Option A is correct.

Leila is buying a dinosaur model. The price of the model is x dollars, and she also has to pay a 7% tax. Which of the following expressions could represent how much Leila pays in total for the model? Choose 2 answers: A.) 107/100x
B.) 0.7x + x C.) 1.07x D. x + 7/10x E. 1.7x​

Answers

Answer:

B

Step-by-step explanation:

Leila is paying a flat rate of x dollars: so x

and she is also paying a 7% tax rate: meaning 7/100 or 0.07

Thus, the matching answer is b although should be 0.07.

Answer:

A and C

Step-by-step explanation:

Is it possible to have a triangle with the following sides give reason
3cm 4cm 5cm
4cm 5cm 6cm​

Answers

Answer: Yes,

Step-by-step explanation:

Because since there are two numbers that are the same and numbers that are different, you can make a triangle out of it. Since a triangle has twi sides that have the same length and a side that has a different length.

Example: 4cm 4cm

2. Kachina is going to a concert that begins at 7:30 P.M. She
needs to arrive at the ticket window 15 minutes before
the concert to get her ticket. It takes Kachina 35 minutes
to ride to the concert, then 10 minutes to park the car. At
what time should Kachina leave for the concert?

Answers

Answer:

6:30 P.M.

Step-by-step explanation:

Since Kachina must do all these things before 7:30 P.M., we must find the sum of the times of the things she must do before the concert and subtract it from 7:30

The sum of the minutes is 60, which is 1 hour.  Thus, Kachina should leave 1 hour before 7:30 which is 6:30 P.M.

Evaluate each function given that f(x)=3x^2-2x and g(x)= -8x-x. Give your answer in simplest form.
a) f(-9)

b) g(-3)

c) f (p+4)

Answers

9514 1404 393

Answer:

26127 (see comment)3p^2 +22p +40

Step-by-step explanation:

In each case, put the function argument where the variable is and do the arithmetic (or algebra).

a) f(-9) = 3(-9)^2 -2(-9) = 3·81 +18 = 261

__

b) g(-3) = -8(-3)-(-3) = 24 +3 = 27

__

c) f(p+4) = 3(p+4)^2 -2(p+4)

  = 3(p^2 +8p +16) -2p -8

  = 3p^2 +22p +40

_____

Additional comment

The form of g(x) is unusual, leading us to suspect it might be ...

   g(x) = -8x^2 -x

In that case,

  g(-3) = -8(-3)^2 -(-3) = -8·9 +3 = -69

Given that a=4 and b=5. evaluate : a²+3b​

Answers

Answer:

4² + 3(5)

= 4 × 4 + 15

= 16 + 15

= 31

what property is 4(2x -3) from math

Answers

Answer:

Distributive

read and answer the following:

Answers

The answer of you're question is C

Answer:

here ,

origin means (0,0)

so ,

h and k are 0 and 0

and diameter ( d) is 4

r = d/2

using formula

(x-h)^2 +( y-k)^2 = r^2

(x-0)^2 +( y-0)^2= 2^2

x^2+y^2= 4 is the equation.

The system has no solution.
The system has a unique solution:
System B
(x, y)= (1
x+4y=4
-x=4y-4
O The system has infinitely many solutions.
They must satisfy the following equation:
y= 0

Answers

Answer:

21

Step-by-step explanation:

Just add then multiplay the numbers.

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