the sum of the 5th term of the 7th term of an ap is 52 and the 10th term is 46 find the AP​

Answers

Answer 1

Answer:

The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................

Step-by-step explanation:

From the question;

Sum of fifth term and 7th term is 52 That is; 5th term + 7th term = 5210th term is 46

We are required to find the AP;

We need to know that in an AP ;

nth term = a + (n-1) d , where a is the first term and d is the common difference

Therefore, In this case;

5th term = a + 4d

7th term = a + 6d

Therefore;

5th term + 7th term = 2a + 10d = 52  ..........eqn 1

10th term = a + 9d

Thus, a + 9d = 46 ............. eqn 2We can solve eqn 1 and eqn 2 simultaneously to get the value of a and d

2a + 10d = 52

a + 9d = 46

Multiplying the second equation by 2, we get;

2a + 10d = 52

2a + 18d = 92

Eliminating a by subtracting the two equations; we get;

-8d = -40

   d = 5

Solving for a

a + 9d = 46

   a = 46 - 9d

      = 46 - 9(5)

      = 46 - 45

   a  = 1

Thus, the first term, a= 1 and the common difference, d= 5

Therefore;

First term = a = 1

Second term = a + d = 1 + 5 = 6

Third term = a + 2d = 1 + 2(5) = 11

Fourth term = a + 3d = 1 + 3(5) =16

Fifth term = a + 4d = 1 + 4(5) = 21

Sixth term = 1 + 5d = 1 + 5(5) = 26

Seventh term = 1 + 6d = 1 + 6(5) = 31

Thus,

The AP is, 1 , 6, 11, 16, 21, 26, 31, .....................


Related Questions

12. A bird chirps 10 times a minute. Determine
how many times the bird would chirp in a day.
A. 144 times per day
B. 1,440 times per day
C. 14,400 times per day
D. 144,000 times per day

Answers

Answer:

C 14,400

Step-by-step explanation:

If a bird is chirping 10 times a min, and there are 60 min in a day you would multiply those numbers. 10×60=600.

There are 24 hours in a day so multiply 600 with that and you have ur answer. 24×600=14400. Also sorry this is probably old.

A bird chirps 14,400 times in a day.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A bird chirps 10 times a minute.

Now,

Since, A bird chirps 10 times a minute.

We know that;

1 day = 24 hours

        = 24 × 60 minutes

        = 1,440 minutes

Hence, We get;

A bird chirps in a day = 10 × 1,440

                                 = 14,400 times

Thus, A bird chirps 14,400 times in a day.

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ2

What is the period of the function? y=cos(pi/2)

Answers

Answer: period=4

Step-by-step explanation: a=1,b=π/2, c=0

to calculate the period of the function,we use 2π/b

therefore,period=2π/π/2

2π×2/π=4.

Please help! Pythagoras question.

Answers

The length of swimming course is 345.93 meters.

Step-by-step explanation:

Given,

BC = 80 m

AB = 145 m

Using pythagoras theorem to find AC.

[tex]AC^2+BC^2=AB^2\\AC^2+(80)^2=(145)^2\\AC^2+6400=21025\\AC^2=21025-6400\\AC^2=14625[/tex]

Taking square root on both sides

[tex]\sqrt{AC^2}=\sqrt{14625}\\AC=120.93m[/tex]

Length of swimming course = AB + BC + AC

Length of swimming course = 145 + 80 + 120.93 = 345.93 m

The length of swimming course is 345.93 meters.

Keywords: square root, addition

Learn more about addition at:

brainly.com/question/9369548brainly.com/question/9328925

#LearnwithBrainly

3 and 1 half to the power of 2 simplify

Answers

3 and 1 half is also known as 3.5,
3.5 x 3.5 = 12.25
in fractions that is 12 and 1 quarter

Answer: 49/4

Step-by-step explanation:

3 + 1/2 = (3x2 + 1)/2 = 7/2

(7/2)² = 7²/2² = 49/4

Spymore

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day. How many days will it take them to have the same number of followers?

Answers

It takes 6 days for both of them to have same number of followers

Solution:

Let "x" be the number of days

Case 1:

Celebrity A has 400 followers on social media and is gaining 75 followers each day

We can frame a equation as:

Celebrity A : 400 + 75(number of days)

Celebrity A : 400 + 75x --------- eqn 1

Case 2:

Celebrity B has 1,000 followers on social media, but is losing 25 followers a day

We can frame a equation as:

Celebrity B : 1000 - 25(number of days)

Here we use negative sign to denote losing of followers

Celebrity B : 1000 - 25x --------- eqn 2

For both of them to have same number of followers, eqn 1 must be equal to eqn 2

[tex]400 + 75x = 1000 - 25x\\\\\text{Solve the above equation for x}\\\\75x + 25x = 1000 - 400\\\\\text{Combine the like terms }\\\\100x = 600\\\\x = 6[/tex]

Thus it takes 6 days for both of them to have same number of followers

What is the equation of the line that contains point(3, -2) and has a slope of 5?
y = 5x - 17
y = 5x - 13
y = 5x + 13
y = 5x + 17

Answers

Answer:

y = 5x - 17

Step-by-step explanation:

y = mx + c

m = the gradient/slope = 5

y = 5x + c

Substitute (3, -2) into the equation above to find c.

-2 = 5(3) + c

-2 = 15 + c

-2 - 15 = c

-17 = c

y = 5x - 17

Answer:

Step-by-step explanation:

point(3, -2) and has a slope of 5

Slope m = 5

y1 = -2 and x1 = 3

The equation is

y - y1 = m(x - x1)

y + 2 = 5(x - 3)

y + 2 = 5x - 15

y = 5x - 15 - 2

y = 5x - 17

Kelly had a part time job last year. She paid the state $234 in income tax. The state income tax rate is 5.2%. How much did Kelly earn?

Answers

Answer

Step-by-step explanation:All you do is multiply $234 by 5.2% or .052 as a decimal

$234×.052×1

Answer:

It's 4500

Step-by-step explanation:

let g (x) = 3x+2 and f (x) = x-2 / 3 find the value. g (f(2))


A. 1
B. 0
C. 2
D. 1/3

Answers

Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

[tex]f(x)=\frac{x-2}{3}[/tex]

You must substitute [tex]x=2[/tex] into the function f(x). Then:

[tex]f(2)=\frac{(2)-2}{3}[/tex]

2. Evaluating, you get:

[tex]f(2)=\frac{0}{3}\\\\f(2)=0[/tex]

3. Now, the next step is to substitute [tex]f(2)[/tex]  into the function g(x):

[tex]g (x) = 3x+2\\\\g (f(2)) = 3(0)+2[/tex]

4. Finally, evaluating, you get the following result:

[tex]g (f(2)) = 0+2\\\\g (f(2)) =2[/tex]

You can identify that it matches with the Option C.

Final answer:

To find the value of g(f(2)), we first calculate f(2) which equals 0, then we substitute that into g(x) to get g(0) which equals 2. Therefore, g(f(2)) is 2.

Explanation:

The question asks for the value of g(f(2)) given two functions g(x) = 3x + 2 and f(x) = (x - 2) / 3. To find the value, we first evaluate f(2), and then plug that result into g(x).

First, we evaluate f(2): f(2) = (2 - 2) / 3 = 0 / 3 = 0.Next, we use this result in g(x): g(f(2)) = g(0) = 3(0) + 2 = 0 + 2 = 2.

The answer to the given function composition g(f(2)) is 2, which corresponds to option C.

2/5,3/10,1/3,2/4 least to greatest

Answers

Answer:

3/10, 2/5, 1/3, 2/4

Step-by-step explanation:

the greater the denominator the lower the portion will be depending on the numerator

Use sigma notation to represent the sum of the first six terms of the following sequence: 4, 12, 20, …

Answers

Answer:

check the photo below for the answer.

Sigma notation is used to represent series of numbers. To find the sum of the first six terms of the sequence 4, 12, 20, ..., you can use the formula Σ(4 + 8(n - 1)).

Sigma notation is a way to represent a series of numbers. In this specific case, we want to find the sum of the first six terms of the sequence 4, 12, 20, ... The sum can be represented as Σ(4 + 8(n - 1)), where n goes from 1 to 6.

every 10 customer get a free coke at the movie theater. Every 12 customer gets a free popcorn. what number customer will get both a free coke and a free popcorn?

Answers

Answer:

The 60th customer will get both a free coke and a free popcorn.

Step-by-step explanation:

i) every 10 customer gets a free coke

ii) every 12 customer gets a free popcorn

iii) therefore the first customer who will get both a free coke and a free popcorn will be given by the Lowest Common Multiple of 10 and 12 which is 60, as 10 goes in to 60 by 6 times and 12 goes into 60 by 5 times.

Answer:

The 60th customer will get both a free coke and a free popcorn.

Step-by-step explanation:

Directions: Solve each of the following equations.

a. Combine like terms

b. Then isolate the variable if necessary

c. Follow rules for signed numbers



1. 15t + 8t - 2t = 16

2. 24m + 24m = 96

3. 26 = 12n + 2n

4. 20a - 3a = 34

5. 170x + 4 = 64

6. 15x - 25 = 200

7. 5s + 3s = 42

8. 10t + 2t = 28

9. 14s + 35s - 7s = 42

10. 124s - 14s + 12s = 12

11. 76x + 23x = 33

12. 140r - 8r - 4r = 216

13. 98c - 99c = 1

14. 104mn + (-84mn) = 36

15. 118j - 234j = 234

(I appreciate all your help

Answers

1.  15t + 8t - 2t = 16

  t = 0.76

2.  24m + 24m = 96

   m = 2

3.  26 = 12n + 2n

   n = 1.86

4.  20a - 3a = 34

   a = 2

5.  170x + 4 = 64

   x = 0.35

6.  15x - 25 = 200

   x = 15

7.  5s + 3s = 42

   s = 5.25

8.  10t + 2t = 28

   t = 2.333333

9.  14s + 35s - 7s = 42

   s = 1

10.  124s - 14s + 12s = 12

   s = 0.1

Hope this helps, sorry I couldn't get to all of it.   :)

Which statement correctly describes the solution to the equation below?
-4[x+2]+x= 3x - 8 - 5x

A There is no solution to this equation.

B There are infinitely many solutions to this equation.

C There is exactly one solution to this equation, and the solution is 0 .

D There is exactly one solution to this equation, and the solution is -1 .

Answers

Answer:

Option C) There is exactly one solution to this equation, and the solution is 0 is correct

That is the solution x=0

Step-by-step explanation:

Given equation is -4(x+2)+x=3x-8-5x

To find the solution to the given equation :

First to solve the given equation

-4(x+2)+x=3x-8-5x

-4x-8+x=3x-8-5x ( by using the distributive property )

-3x-8=-2x-8 ( adding the like terms )

-3x-8-(-2x-8)=-2x-8-(-2x-8)

-3x-8+2x+8=-2x-8+2x+8  ( adding the like terms )

-x=0

Therefore x=0 is the only solution to the given equation

Option C) There is exactly one solution to this equation, and the solution is 0 is correct

That is the solution x=0

After simplifying and solving the given equation, it is clear that the single solution is x = 0, which corresponds to option C.

To identify the correct statement describing the solution to the given equation, we need to solve the equation step by step:

-4[x+2]+x = 3x - 8 - 5x.

First, distribute the -4 across the terms inside the brackets:

-4x - 8 + x = 3x - 8 - 5x.

Combine like terms:

-3x - 8 = -2x - 8.

Then add 3x to both sides:

-8 = x - 8.

Finally, add 8 to both sides to solve for x:

x = 0.

The equation simplifies to x = 0, which means there is a single solution to this equation. Therefore, the correct option is: C. There is exactly one solution to this equation, and the solution is 0.

Please this is urgent look at the image!!!

Answers

Answer:

y-coordinate

Step-by-step explanation:

Answer:

y coordinate

Step-by-step explanation:

what expression simplifies to 8x-5

Answers

The value of the equation A = -6x + 7 ( 2x + 1 ) - 12 is A = 8x - 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -6x + 7 ( 2x + 1 ) - 12  be equation (1)

Now , let the equation B = 8x - 5

On simplifying the equation (1) , we get

A = -6x + 7 ( 2x ) + 7 ( 1 ) - 12

A = -6x + 14x + 7 - 12

On further simplification , we get

A = 8x - 5

So , the value of A = B

Therefore , the value of A is 8x - 5

Hence , the equation is A = 8x - 5

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

The Answer is A = -6x + 7 ( 2x + 1 ) - 12 is A = 8x - 5

Step-by-step explanation:

I got it right

Phillip departed from town A with coordinates (1, 6) towards town B with coordinates (7, 6). At the same time Bruce headed from town B to town A. What are the coordinates of point C where they will meet if the ratio of Phillip's to Bruce's rates is 7:5, respectively?

Answers

Answer:

  (4.5, 6)

Step-by-step explanation:

The distance covered is proportional to the rate, so the distance from A to C compared to the distance from B to C will have the same proportion as Phillip's and Bruce's rates.

__

setup

  (C -A)/(B -C) = 7/5 . . . . . distance is proportional to rates

solution

  5(C -A) = 7(B -C) . . . . multiply by 5(B -C)

  12C = 7B +5A . . . . . add 7C+5A

  C = (7B +5A)/12 = (7(7, 6) +5(1, 6))/12 = (49+5, 42+30)/12 = (4.5, 6)

Phillip and Bruce will meet at C(4.5, 6).

Answer:

he is right but the answer is (4,6) not (4.5,6)

Step-by-step explanation:

25 gal
min
sec
Helppppp

Answers

25 gallons= 100 quarts

Subtract. 29.82 − 8.001 The difference is

Answers

Answer:

21.819 is the difference

The answer is 21.819

✍️(◔◡◔) hope this helps

What is the missing fraction for the equation?
9/10 + ?/? = 99/100

Answers

9/10 = 90/100, so 90/100 (which is 9/10)+ 9/100 = 99/100

Final answer:

The missing fraction in the equation 9/10 + ?/? = 99/100 is 9/100 because 9/10 is equivalent to 90/100 and 99/100 - 90/100 equals 9/100.

Explanation:

To find the missing fraction in the equation 9/10 + ?/? = 99/100, we need to find a common denominator and then solve for the numerator of the missing fraction. The common denominator for 10 and 100 is 100, so we must convert 9/10 into an equivalent fraction with a denominator of 100, which is 90/100. Now, to find the missing numerator, we subtract 90/100 from 99/100 which gives us 9/100. Therefore, the missing fraction is 9/100.

Which equation represents the volume of a cone with the same base and height as the cylinder below?
Vcone=(pie)t2k
Vcone=1/3(pie)t2k
Vcone=1/2(pie)t2k
Vcone=3(pie)t2k

Answers

Answer:

The equation that represents the volume of a cone with the same base and height as the cylinder is [tex]\frac{1}{3}\pi t^2k[/tex]

Step-by-step explanation:

Given:

The height of the cylinder = k

The  Radius of the cylinder = t

To Find:

Equation representing the volume the cone = ?

Solution:

We know that the volume of the cone is

=> [tex]\frac{1}{3}\pi r^2 h[/tex]

where

r is the radius of the  cone

h is the height of the cone

Here the radius of the cone  =  radius of the cylinder = t

and height of the cone   = height oft the cylinder = k

then

the volume of the cone  will be

=>[tex]\frac{1}{3}\pi t^2k[/tex]

Answer:

its b

Step-by-step explanation:

i took the test

Which expression is equivalent to |b|>2 ?


b > –2 and b < 2


b < –2 or b > 2


b < –2 and b > 2


b > –2 or b < 2

Answers

Answer:

b < –2 or b > 2

Step-by-step explanation:

The given expresion is

[tex] |b| \: > \: 2[/tex]

By the definition of absolute value function.

|x|=x, if x>0

|x|=-x, if x<0

This implies that:

[tex] b \: > \: 2 \: or \: - b \: > \: 2[/tex]

Divide the second inequality by -2 and reverse the sign

[tex]b \: > \: 2 \: or \: b \: < \: - 2[/tex]

Option B is correct

The expression |b| > 2 is equivalent to b < -2 or b > 2, indicating that the value of b is either greater than 2 or less than -2.

The expression |b| > 2 is equivalent to the situation where b is greater than 2 or less than -2. The absolute value sign indicates the distance of b from 0 on a number line, without considering direction. Therefore, if |b| is greater than 2, b must lie outside the interval from -2 to 2, since anything within that interval would have an absolute value less than or equal to 2.

This means that the correct expression equivalent to |b| > 2 is b < -2 or b > 2. When b is positive, it must be greater than 2 to satisfy the inequality. When b is negative, to have an absolute value greater than 2, it must be less than -2.

Give the equation of the line that is perpendicular to y= (1/2)x -1 and passes through the point (3,4)

Answers

Answer: y = -2x + 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1, that is , if [tex]m_{1}[/tex] is the slope of the first line and [tex]m_{2}[/tex] is the slope of the second line , if the two lines are perpendicular , then [tex]m_{1}[/tex][tex]m_{2}[/tex] = -1

The equation of the line given :

y = 1/2x - 1

comparing with the equation of line in slope intercept form

y = mx + c , where m is the slope and c is the y - intercept , it implies that

[tex]m_{1}[/tex] = 1/2

Therefore :

[tex]m_{2}[/tex] = -2

To find the equation of the line with slope -2  and passes through the point ( 3 , 4 ) we will use the formula

[tex]y-y_{1}[/tex] = m ([tex]x-x_{1}[/tex] )

y - 4 = -2 ( x - 3 )

y - 4 = -2x + 6

y = -2x + 6 + 4

y = -2x + 10

A six pack of soda costs 3.48 how much does each bottle of soda cost

Answers

Final answer:

To determine the cost of each bottle in a $3.48 six pack of soda, divide the total cost by the number of bottles, which results in each bottle costing $0.58.

Explanation:

To find out how much each bottle of soda costs when a six pack of soda costs $3.48, we need to divide the total cost by the number of bottles in a pack. Since there are six bottles in a six pack, we take the total cost of $3.48 and divide it by 6.

The calculation will look like this:

Cost per bottle = Total cost of six pack ÷ Number of bottles

Cost per bottle = $3.48 ÷ 6

Cost per bottle = $0.58

Therefore, each bottle of soda costs $0.58.

Before the three-dimensional structure of DNA was discovered, scientists knew that DNA contained nitrogenous bases. The table below shows the percentages of the nitrogenous bases in a DNA sample. Which rule can be used to determine the percentages of the missing nitrogenous bases? Complete the table AND explain your answer. Base Percent Adenine 23 Thymine Cytosine 27 Guanine

Answers

Answer:

Thymine 23

Guanine 27

Step-by-step explanation:

A DNA molecule consists of two long chains of DNA connected to each other through the bonds nitrogenous bases make one with another. However, this bonding is strictly regulated through Chargaff's rule. It basically says that adenine from one DNA chain can only bond with thymine from another chain and vice versa. Additionally, cytosine from one chain only bonds with guanine from another and vice versa:

[A] = [T]

[G] = [C]

That means that there should be an equal number of corresponding bases.

If there were 23% of adenine, there will also be 23% of thymine.

Similarly, if there were 27% of cytosine, there will also be 27% of guanine.

Also note that the sum of non-bonding bases is always 50%, in this case, adenine + cytosine was 23% + 27% = 50%.

The Answer is: Thymine 23

Then Guanine 27

Now Step-by-step explanation:When A DNA molecule consists of two long chains of DNA connected to each other through the bonds nitrogenous are bases to make one with another. When However, this bonding is strictly regulated through Chargaff's rule. It basically says that adenine from one DNA chain can only bond with thymine from another chain and vice versa. Thus that the Additionally, cytosine from one chain only bonds with guanine from another and vice versa:[A] = [T][G] = [C]Now That means there should be an equal number of corresponding bases.When If there were 23% of adenine, there will also be 23% of thymine.So that Similarly, if there were 27% of cytosine, there will also be 27% of guanine.After that Also note that the sum of non-bonding bases is always 50%,  but in this case, adenine + cytosine was 23% + 27% = 50%.

Learn more about:

https://brainly.com/question/14697641

if 3x= 27, then x = 9 what algebraic property?

Answers

Division property of equality is used

Solution:

Given that,

If 3x = 27 then x = 9

We have to find the algebraic property used here

Division property is used here

The division property of equality is a property that tells us if we divide one side of an equation by a number, we must also divide the other side by the same number so that our equation stays the same.

Given equation is:

3x = 27

Divide both the sides by 3

[tex]\frac{3x}{3} = \frac{27}{3}\\\\x = 9[/tex]

Thus division property of equality is used

Final answer:

The algebraic property used in changing 3x = 27, to x = 9 is the Division Property of Equality. This property means that if both sides of an equal equation are divided by the same nonzero number, then the resulting equation remains true.

Explanation:

The algebraic property that applies when rearranging the equation 3x = 27, to x = 9 is known as the Division Property of Equality. This property states that when both sides of an equation are divided by the same nonzero number, the result is an equivalent equation.

To demonstrate this, in the given equation 3x = 27 we can apply the Division Property of Equality by dividing both sides of the equation by 3. This will give: 3x/3 = 27/3 which simplifies to x = 9, thus demonstrating the division property of equality.

Learn more about Division Property of Equality here:

https://brainly.com/question/34830869

#SPJ3

Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Answers

Answer:

[tex]m=55h[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

[tex]k=55\ \frac{miles}{hour}[/tex] ----> the speed

substitute

[tex]m=55h[/tex]

Find the product of factors of 2^4 multiplied by x^5

Answers

Answer:

16x^5

Step-by-step explanation:

use photomath it will help u with math problems if u need it.


Help
The output values of a relation are called the _____ of the relation

Answers

Answer:

The output values of a relation are called the Range of the relation

Step-by-step explanation:

we know that

For a set of ordered pairs, the first elements of each ordered pair is called the input value or independent variable and represents the domain of the function and second elements of each ordered pair is called the output value or dependent variable and represents the range of the function.

therefore

The output values of a relation are called the Range of the relation

Tim's phone service charges $23.02 plus an additional $0.19 for each text message sent per month. If Tim's phone bill was $27.77, which equation could be used to find how many text messages, x , Tim sent last month?


A. $0.19x + 23.02 = $27.77

B. $23.02x + $0.19 = $27.77

C. $0.19x - $23.02 = $27.77

D. 23.02x - $0.19 = 27.77​

Answers

Answer:

Step-by-step explanation:

23.02 plus an additional 0.19 for each text.....x = # of texts

$ 0.19x + 23.02 = 27.77 is ur equation

Answer: B

Step-by-step explanation: i got it wrong trust me

Find the measure of one interior angle in each regular polygon. Round your to nearest tenth if necessary.

Answers

The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

To solve the given problem, it is necessary to know about the polygon. A polygon is a closed curve that consist a set of line segments connected together, such that there is a no intersection between the segments.

A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.

For example: -

The triangle is a polygon that  has 3 interior angles. The square is a polygon that has 4 interior angles. The pentagon is a polygon that has 5 interior angles.

The formula for the interior angle of a regular polygon is given by,

[tex]= \dfrac{ (n-2) \times 180}{n}[/tex]

Here, n is the number of sides.

Then the calculation is given as,

For triangle ( n = 3 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (3-2) \times 180}{3}\\\\=60 \;\rm degrees[/tex]

For square ( n = 4 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (4-2) \times 180}{4}\\\\=90 \;\rm degrees[/tex]

For pentagon ( n = 5 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (5-2) \times 180}{5}\\\\=108 \;\rm degrees[/tex]

Thus, we can conclude that the interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

Learn more about the interior angles here:

https://brainly.com/question/10638383

The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

We have to determine, The measure of one interior angle in each regular polygon.

A polygon is a closed curve that consist a set of line segments connected together, such that there is a no intersection between the segments.

A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.

The formula for the interior angle of a regular polygon is given by,

[tex]= \frac{(n-2)\times180}{n}[/tex]

Where, n is number of sides.

The triangle is a polygon that  has 3 interior angles.

The square is a polygon that has 4 interior angles.

The pentagon is a polygon that has 5 interior angles.

For triangle ( n = 3 sides ),

[tex]= \frac{(3-2)\times 180}{3} \\\\= \frac{180}{3} \\\\= 60degree[/tex]

For square ( n = 4 sides ),

[tex]= \frac{(4-2)\times 180}{4} \\\\= \frac{360}{4} \\\\= 90degree[/tex]

For pentagon ( n = 5 sides ),

[tex]= \frac{(5-2)\times 180}{5} \\\\= \frac{540}{5} \\\\= 108degree[/tex]

Hence, The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

For more information about Regular Polygon click the link given below.

https://brainly.com/question/17058969?

Other Questions
As director of human resources, Leah is responsible for creating a formal system of task and reporting relationships to enable employees to meet organizational goals. Leah is demonstrating the _______ function of management. 2X plus 5 minus X plus 3X plus X -2 Xi, an immigrant from China, came to the U.S. following her cousins and family friends who provided her with information and support for travel. housing, employment, and education. Which of the following enabled her migration? a. Migrant networks b. World systems theory c. Pluralism d. Cultural adaptation What is the term for the "process of hiring external HR professionals to do the HR work that was previously done internally"? Describe the relationship of a dependency to its dominant country. Ken Company purchased $7,000 of merchandise from Marilyn Company with terms of 4/10, n/45. What percent discount will Ken Company get if it pays within the allowed discount period? Answer % If Ken Company fails to pay within the discount period, how many days does Ken Company have from the date of purchase before the payment is considered to be late? Pedro y su novia Leticia estn de vacaciones. Mira el dibujo y marca cierto o falso para cada oracin que escuches. January 16 11:59 AM (late) 1 attempt remaining Grade settings External references 18-21 Questions 0:00 / 1:04 1. cierto falso 2. cierto falso 3. cierto falso 4. cierto falso 5. cierto falso 6. cierto falso Select reference tools. DICTIONARY VOCABULARY TOOLS Grandma's Applesauce, Inc. has a 0.60 probability of a good year with operating cash flow of $50,000; and 0.40 probability of a bad year with operating cash flow of $30,000. The company has a debt of $35,000 with 8 percent interest due next year. Assuming the company has no means of servicing its debt other than operations, and a 0% tax rate, which of the following is true?O Shareholders expected claim is $12,200O Creditors expected claim is $37,800O Creditors expected claim is $34,680O None of the above New parents have many different words for their children's tantrums, each acknowledging the many distinctions in the amount of sound and fury and how quickly they must respond. Most other people simply see a crying baby. This ability of thought and language to shape one another is an important element of ____________. Teachers' salaries Group of answer choices A: have risen about 40 percent beyond cost of living in the last two decades B: vary from state to state and community to community C: are higher than most other professional positions. Economic theory is: A. the specification of a set of assumptions. B. a prediction about cause and effect. C. the development and use of a model to test hypotheses. D. None of the above. You purchased a stock eight months ago for $36 a share. Today, you sold that stock for $41.50 a share. The stock pays no dividends. What was your annualized rate of return? How can I solve 764+135 faster using a different strategy? Describe the intermolecular forces that must be overcome to convert each of the following from a liquid or solid to a gas. SO2, H2Se Check all that apply. a. Ion-dipole bonding. b. Hydrogen-bonding. c. London dispersion forces. d. Dipole-dipole bonding. The Enron debacle created what one public official reported was a "crisis of confidence" on the part of the public in the accounting profession. List the parties who you believe were most responsible for that crisis. Briefly justify each of your choices. Rational Expressions 5n/15 + 7n/15 green forest are the wealth of Nepal 2 divided 62.2What is the answer What lays emphasis on designing, optimizing, and streamlining business processes across the organization, while also considering the human element? _____ is a disorder that results from damage to the brain's motor centers, causing difficulty with motor control so that speech and movements are impaired. Klinefelter syndrome Muscular dystrophy Cerebral palsy Crohn's disease. Steam Workshop Downloader