Explain why a regular polygon cannot have an interior angle that is 40°.

Answers

Answer 1

Answer:

Explained below.

Step-by-step explanation:

The formula for the interior angle of any regular polygon is given as;

Interior Angle = 180(n - 2)/n

Where n is number of sides

We are told the interior angle is 40°

Thus;

180(n - 2)/n = 40

Cross multiply to get;

180n - 360 = 40n

180n - 40n = 360

140n = 360

n = 360/140

n = 2.57

Number of sides of a regular polygon cannot be in decimal nor can it have less than 3 sides.

Thus, a shape with interior angle of 40 cannot be a polygon.

Answer 2

There is no regular polygon that has just 2 sides, therefore, a regular polygon cannot have an interior angle that is 40°.

The sum of all the interior angles of a regular polygon is given as, (n - 2)180.

Thus, assuming an interior angle is 40°, thus, let's find out if there is any regular polygon that has an interior angle that measures 40° using the formula, (n - 2)180.

Thus:

(n - 2)180 = 40

Solve for n

180n - 360 = 40

180n = 40 + 360

180n = 400

Divide both sides by 180

n = 400/180

n = 2.22

Thus, there is no regular polygon that has just 2 sides, therefore, a regular polygon cannot have an interior angle that is 40°.

Learn more about regular polygon on:

https://brainly.com/question/1592456


Related Questions

Plsss help mee quickkk !!

Answers

Answer:

2.5 overtime hours

Step-by-step explanation:

90$+195$=285

390-285=105$

105/42=2.5 overtime hours

Answer:

h=2.5 hours

Step-by-step explanation:

take the 30x3=90 then 195-90= 105 finally, divide 105 and 42 to get 2.5 hours!

30x3

195-90

105/2.5

hope this helps!

50 points! Someone actually help instead of putting random answers! Random answers will be reported

Answers

If you only want to see the way i do it to get the answer without seeing my explanation ignore sentences with symbol '#'

Answer

•Pic on the left

x = 8.36

y = 140.18°

• Pic on the right

x = 110°

Way to do

This one for the pic on the left

#Since the total degree of a triangle is 180° and one of the side known 90° (L) so the rest must be 90° (180° - 90° = 90°)

#known that the other side of triangle degree is (5x - 2)° and 6x° so... u can find the x! :D

90 = (5x - 2) + 6x

90 = 11x - 2

90 + 2 = 11x

92 = 11x

x = 92 : 11

x = 8.36 (2 decimal places)

#Now you know the x, you can now find the degree

#degree of (5x - 2)

5x - 2 =

5(8.36) - 2 =

41.81 - 2 = 39.81

#Since the y° is in the other side of the line of degre 39.81°, you can find it by minus it with 180° (straight line with no degree is 180°)

180° - 39.81° = 140.18

This one for the pic on the right

#Lol this one is easy. I already told you before that the straight line degree is 180° and you can find one of the side if you know one of the degree side, so you can find it.

# Also as i said before, total triangle degree is 360°

#Find the degree of the other side of x° (only can find the degree of other side x because its inside the triangle)

Degree = 180° - 80° - 30° = 70°

#Now you can get x

x = 180° - 70° = 110°

For moderators that see this

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(

Left:

x = 8.36

y = 140.18°

Right:

x = 110°

A standard six-sided die is rolled.
What is the probability of rolling a number greater than or equal to 3? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Tables
Keypad

Answers

Answer:

Step-by-step explanation:

There are six sides on the die...

1, 2, 3, 4, 5, 6

Greater than or equal to 3 includes 3, 4, 5, 6

This means 4 out of 6, or 4/6

4/6 simplified is 2/3

Hope this helps!

Select all of the expressions that are equivalent to 4 + w + 12w

Answers

Answer:

Step-by-step explanation:

the selections that are equivalent to 4 + w + 12:

1st and 3rd

what is -10 as a percent

Answers

-1,000%

Hope I helped you!Success!

-0.1 is your answer!

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

B is the answer

Step-by-step explanation:

not staright line so not linear. but it is a function

Answer:

Step-by-step explanation:

it is non-linear; function

The product of a number is 12 decreased by 13 is 611. find the number.

Answers

Answer:

Как дела лллллрпрорп

Step-by-step explanation:

6 54всм6нен

pls bro i need help asap

Answers

Answer:

Step-by-step explanation:

i suck at math um i have no life

Assume a test for a disease has a probability 0.05 of incorrectly identifying an individual as infected (False Positive), and a probability 0.01 of incorrectly identifying an individual as uninfected (False Negative). Assume furthermore that the probability of an individual being infected is 0.000001 (1 in 1 million). If a person tests positive for this disease, what is the probability of actually having the disease

Answers

Answer:

0.00002 = 0.002% probability of actually having the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Having the disease

Probability of having a positive test:

0.05 of 1 - 0.000001(false positive)

0.99 of 0.000001 positive. So

[tex]P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094[/tex]

Probability of a positive test and having the disease:

0.99 of 0.000001. So

[tex]P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}[/tex]

What is the probability of actually having the disease

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002[/tex]

0.00002 = 0.002% probability of actually having the disease

Compute the Gross Pay for these situations:
1. Regular Hours Worked: 40
Overtime Hours Worked: 4
Regular Rate of Pay: $7.50/hour

Answers

62525262626

Step-by-step explanation:

52525252+45541537948-5751576544+4246-5484-24848+2757%

PLEASEEEE HELPPP
Ben Frank is an electrician who installs lighting fixtures. He charges (in dollars) his clients 15h +40f
where h is the number of hours worked and f is the number of fixtures installed.
How much does Ben Frank charge when he works 7 hours and installs 9 fixtures?

Answers

Answer:

465 Dollars

Step-by-step explanation:

15h+40f = Amount Charged

if: h = 7

   f = 9

15(7)+40(9) = Amount Charged

105 + 360 = Amount Charged

465 = Amount Charged

He will charge 465 dollars.

Answer:$465Steps and explanation of why:

Ben works 7 hours installing 9 fixtures. This tells us that h = 7, and f = 9. So, let's substitute h = 7 and f = 9 into the expression and evaluate:

Step 1:

15h + 40f

Step 2:

= 15(7) + 40(9)

Step 3:

= 105 + 360

Step 4:

= $465

Hope this helps!! Remember to get good grades, and to stay safe :))

Also, please mark as brainliest..I'm trying to get to, "Virtuoso," which is a level on here that's really important to me.. But- I'm not forcing you so..don't feel pressured into doing it, but if you do, then, thanks so much!! I love you!!

Caleb bought raisins in bulk $2.50 per round. He spent a total of $5.75. How many pounds of raisins did he buy?

Answers

$5.75 divided by $2.50= 2.3 pounds

Answer:

2 1/3 I believe

Step-by-step explanation:

Annika is painting a rectangular wall. She paints 1/2of the wall yellow. Then, she changes her mind and paints 1/4 of the yellow part blue. What
fraction of the wall does Annika paint blue?

Answers

Answer:

3/4

Step-by-step explanation:

(½-¼)+½=

¼+½=

¾

Nasa book po nmin yan

find the slope of the line​

Answers

Answer:

1/2

Step-by-step explanation:

(2,1)(4,2)

x1-y1/x2-y2

slope:m=1/2

IS THIS A FUNCTION ? YES OR NO ????

ILL GIVE 40 POINTS DONT LIE !!

Answers

Answer:

no it is not a function. .

Answer:

Step-by-step explanation:

No, it does not pass the  vertical line test

What is the measure of angle k?

Answers

I’m guessing it’s also 60° as well
60°
since a triangle is 180°, you would add both sides, 60+60 and subtract that from 180. 180-120= 60. that’s how it is done mathematically but it’s easy to see that it would be 60° considering the other two angles are 60°.

find the x and y-intercept of this function: 2x+y=-2

Answers

Answer:

x- intercept:(-1,0)

y-intercept:(0,-2)

Step-by-step explanation:

PLz hurry!!!!!!!!!!!!!!!!

Answers

Answer:

14.13

Step-by-step explanation:

Area = pi * r * r

d/2 = 2... 6/2 = 3

Area = pi *3^2

3.14*9 = 28.26

The semicircle is exactly half so you divide by 2

28.26 / 2 = 14.13

Answer:

14.13

Step-by-step explanation:

Formula for area of a semicircle: 3.14*r*r/2

6/2 = 3

3*3=9

3.14*9 = 28.26

28.26/2 = 14.13

14.13

two lines of regression are 8x-10y_66=0,40x-18y-214 =0 find mean value of x and y

Answers

Step-by-step explanation:

The answer in this picture:)

Simplify the expression please with step
[tex] \sqrt{13 - 4 \sqrt{3} } [/tex]

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \red{2 \sqrt{3} - 1}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:redicalsimplifying redicalPEMDASgiven:[tex]\tt \sqrt{13-4\sqrt{3}}[/tex]to do:

simplificationtips and formulas:(a-b)²=a²-2ab+b²√(a)²<=>|a|let's do:

[tex]step - 1 : define [/tex]

[tex] \tt \sqrt{13 - 4 \sqrt{3} } [/tex]

[tex]step - 2 : simplify[/tex]

[tex] \tt use \: the \: 1 \: formula : \\ \tt \sqrt{ 1 + 12 - 4 \sqrt{3} } \\ \tt \sqrt{1 - 4 \sqrt{3} + 12} \\ \tt \sqrt{ {(1)}^{2} - 2.1.2 \sqrt{3} + {(2 \sqrt{3}) }^{2} } \\ \sqrt{ \tt (1 - 2\sqrt{3} {)}^{2} } [/tex][tex] \tt use \: the \: 2 \: formula : \\ \tt |1 - 2\sqrt{3} | \\ \tt - (1 - 2 \sqrt{3} ) \\ - 1 + 2 \sqrt{3} \\ 2 \sqrt{3} - 1[/tex]

someone help me lol..

Answers

Answer:

1/3x + 3 is the correct answer, hope it help

1. Escribe dos semejanzas dadas en la estructura de la
circunferencia y la elipse.​

Answers

Un círculo es una forma curva cerrada que es plana. Es decir, existe en dos dimensiones o en un plano. En un círculo, todos los puntos del círculo están igualmente lejos del centro del círculo. Una elipse también es una forma curva cerrada que es plana.

~~Espero que esto ayude~~

a system of equations is shown on the graph below. what is the solution to the system of equations?

Answers

Answer:

Step-by-step explanation:

solution is the point of intersection, (0,1)

Solution of the system of equations is, (0, 1)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A system of equations is shown on the graph.

Now, We have seen that;

Both the graph intersect at a point (0, 1), which is solution of the graph.

Hence, Solution of the system of equations is, (0, 1)

Thus, Solution of the system of equations is, (0, 1)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

When plotting points on the coordinate plane below, which point would lie on the x-axis?



(6, 0)
(0, 2)
(3, 8)
(5, 5)

Answers

Answer: (6,0)

Coordinate points are always written in pairs of the x- and y-coordinate: (x, y). Knowing this, the point would need to have a y-value of 0 in order to lie on the x-axis (otherwise, it would be on a random spot on the grid). The only coordinate point with a y-value of 0 is (6, 0). Therefore, the coordinate point (6, 0) lies on the x-axis.

Please refer to the attached graph below to see all the coordinate points.

The total length of a beach towel is 28 inches. If there are 6 beaches towels laid right next to each other side-by-side, what is the total length of the towels?

Answers

Answer:168 inches

Step-by-step explanation:

the answer is 168 inches because 28 times 6 is equivalent to 168 and then u have to put the inches on the end.

Aspen has 10 pairs of white socks and 1 pair of red socks. What is the chance that Aspen wears a pair of black socks?

Answers

Answer:

no chance

Step-by-step explanation:

he doesn't have any black socks

Answer:

Step-by-step explanation:

Of the ten socks,

10/11 chance of wearing white socks

1/11 chance of wearing red socks

0/11 chance of wearing any OTHER color

Black socks fall into the final row, which is the OTHER color, meaning there is no chance he can wear black socks.

describe a family member in 3-5 sentences (use nouns) make it easy and simple please!!

Answers

Ok! ———- is ———- because of ————. They have ———- hair color and ———— eye color. I think they are ———— because of ————. They like to —————- because —————.

HELP ASAP!!


Elise bought her favorite CD at 20% off the regular
price $15.00. How much money did she save?

A. $3.00
B. $2.00
C. $0.30
D. $0.20

Answers

Answer:

A. $3.00

Step-by-step explanation:

To find how much she saves,  simply multiply 20% (0.2) by $15.

(20% is also 1/5 so you could also just divide 15 by 3 for this problem.)

Answer:

A or $3.00

Step-by-step explanation:

Help please !!

You obtain an correlation value of r = -0.42 between the percent of returning birds and the number of new adults that join a bird colony. Fill in the blank: The correlation is ____
and weakly linear.

1. Zero
2. Moderate
3. Positive
4. Strong
5. Negative

Answers

i believe its moderate

Give me 3 equivalent fractions for 10/30

Answers

Answer:

1/3, 100/300, 20/60

Step-by-step explanation:

Just multiply or divide the numerator and denominator with the same number.

Hope this helps you :)

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