The perimeter of the triangle and the perimeter of the square are equal. Create and solve an equation to find the value of x.

The Perimeter Of The Triangle And The Perimeter Of The Square Are Equal. Create And Solve An Equation

Answers

Answer 1

Answer: 16

Step-by-step explanation:

The perimeter of the triangle is [tex]2x+2x+x-8=5x-8[/tex].

The perimeter of the square is [tex]4(x+2)=4x+8[/tex].

Setting the perimeters equal to each other,

[tex]5x-8=4x+8\\\\x-8=8\\\\x=16[/tex]


Related Questions

.As the operations manager of the post-sales department, you need to estimate the average duration of an on-site visit by your technical staff. Based on the information in the service call log shown, what is the average time needed for an on-site visit? Service Call Duration 45 min 55 min 1 hr 35 min 1 hr 15 min 50 min O A 40 minutes O В. 1 hour 4 minutes O С. 1 hour 20 minutes D 4 hours O E 5 hours 20 minutes

Answers

The mean (or average) is given as:

[tex]\frac{\sum ^{}_{}x_i}{n}[/tex]

where xi is the value of each data and n is the total number of data. In this case we have:

[tex]\frac{45+55+95+75+50}{5}=64[/tex]

Therefore the average is 1 hour 4 minutes and the answer is B.

The angel pitch of a roof is safest when measuring between 18 - 27. According to these guidelines, is the roof pictured in the image safe? I cannot figure out where to start with this question nor how to solve it.

Answers

we know that

YZ=RV+VQ ----> by addition segments postulate

substitute given values

30=RV+15

so

RV=30-15=15 ft

that means

Point V is the midpoint of the segment RQ

triangle RPQ is an isosceles triangle

mFind out the value of angle x

tan(x)=4/15 ------> by TOA

x=tan^-1(4/15)

x=14.93 degrees

The angle x is not between 18 - 27

therefore

The roof Is not safe

2. Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day.
I NEED HELP .How fast in inches per minute can this weed grow? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.

Answers

Invasive weed grows at a rate of 0.0011 ft per minute a day

In the above question, it is given as

Invasive weed grows really fast and the rate of its growth is being provided as follows

The rate at which the weed is growing a day is = 1.65 ft

We need to find the, rate at which this weed is growing per minute

So, to do this, we'll find the growth in 1 min

In 24 hours growth is = 1.65 ft

Conversion factors

We know, 1 hour = 60 minutes

In 1 min growth is = [tex]\frac{1.65}{24 . 60}[/tex]

Here, we have multiplied with 60 in the denominator to convert hours into minutes  

After solving the fraction we'll get

Growth in 1 min of the weed = 0.0011 ft

Hence, Invasive weed grows at a rate of 0.0011 ft per minute a day

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Describe the slope of the line.AY|(-3, 1)2|-22X-25(2,-2)

Answers

A = (-3, 1)

B = (2, -2)

First we will calculate the slope of the line

[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]m=\frac{-2-1}{2-(-3)}=\frac{-3}{5}_{}[/tex]

The slope is negative

Now, we are gonna calculate the equation, with (2, -2)

[tex]b=y-mx[/tex][tex]b=-2-(-\frac{3}{5})\cdot2[/tex][tex]b=-\frac{4}{5}[/tex]

- The simple interest equation is I = Prt, where I is the interest
-
earned, P is the principal investment, and t is the amount of time
(in years).
Use the formula to solve the problem: If a $5,000 investment earns
$1,57 interest over 18 years, what is the annual interest rate?
% (enter your answer as a percent and do not round)
T=

Answers

The rate of the given amount 0.001744%

What is Simple Interest?

Simple interest is a quick and easy way to calculate interest on a loan. Simple interest is the daily interest rate multiplied by the principal multiplied by the number of days until the next payment.

Given,

Principal = $5000

Interest = $157

Time = 18years

The formula for simple interest:

I = P x R x T

157 = 5000 x R x 18

R = 157 / 5000 x 18

R =0.001744%

Hence, the annual rate of interest is 0.001744%

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Which of (3, 5), (4, 6), (5, 7), and (6, 8) are solutions to y = x + 2?
O(3, 5) and (4, 6)
O(4, 6) and (5, 7)
Onone
O all

Answers

All of them would be the answer.

What is the basic component of solving an equation?

The left side and right side of every equation should be equal. It is essential that both parties are on an even playing field. An equation must contain the following elements: coefficients, variables, operators, constants, terms, expressions, and an equals sign. Any one, some, or all of these terms may circle the equal sign in an equation.

Rule of Thumb for Equation Solving:

Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.

Here, we will put the values of x and y coordinates in the equations:

5=3+2

6=4+2

7=5+2  

8=6+2

Hence, the right and left side of the equation is equal.

Thus, all of them are correct answers. It would just be all of them.

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is when you multiply with any number with a negative or possitive the asnwer is also suppossd to also have a negative and possitive . Also will i get the answer wrong if i dont put any of the sighn ?

Answers

If we mutiply a positive number with a positive or negative sign we get the answer as number with sign.

[tex]eg\colon5\times(+1)=5,5\times(-1)=-5[/tex]

If we mutiply a negative number with sign the answer will be,

[tex]eg\colon(-5)\times(+1)=-5,)-5\times(-1)=5_{}[/tex]

Thus, if we mutiply a negative to a positive number the sign gets reversed.

-r + 23 = -7r+ 3(2r + 8)

Ned help solving….Please help

Answers

The equation has no solution.

How to find the solution of the given equation?

-r + 23 = -7r +  3(2r + 8)

Applying distributive property A(B+C) = AB+AC

⇒  -r + 23 = -7r + 6r + 24

Combining like terms,

⇒  7r - 6r -r = 24 - 23

⇒  7r - 7 r = 1

⇒  0 = 1

L.H.S ≠ R.H.S

Since the two sides are unequal , there is no solution.

What is the distributive property ?

In mathematics, the rule governing addition and multiplication operations is known as distributive law or distributive property.It is shown as A(B+C) = AB+AC.This law makes it simple to demonstrate that multiplying a sum of numbers by a certain number after adding multiple numbers has the same result as multiplying each number by the same amount independently before adding the results. It claims that multiplying a collection of significant two or three digit numbers will produce the same result as partitioning, multiplying, and adding the numbers individually.

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Which equation represents a proportional relationship between x and y?
A.y=0.25x+1.25
B.y=4x
C.y=14x−2
D.y=23x−23

Answers

y=4x equation represents a proportional relationship between x and y.

Form the question

Only B doesn't have constant

y=4x

x=y/4

So option 2 is correct.

The formula y=kx y = k x can be used to describe a proportional relationship, where k is the constant ratio.

y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, diagrams, and equations can all be used to depict proportional relationships.

The graph of a straight line through the origin with a slope equal to the unit rate can be used to depict a relationship where two quantities are related proportionally. is equal to k, where k is the unit rate, for each point (x, y) on the graph.

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Your lunch in the hospital cadet cost $6.50. Based on working 50weeks per year , how much will you spend on your lunch per year?

Answers

Answer:

Step-by-step explanation:

if they are working 7 days a week, lunch will cost $2,275

hope this helped :)

The next nine births at a hospital all being girls

Answers

Answer:

There is a chance it could happen. Rare occurrence though.

Step-by-step explanation:

Most cars depreciate in value as they age. A specific model car purchased for $14 995depreciates by 28% per year. The function that models it value over time

Answers

[tex]V\left(x\right)=14995\left(0.72\right)^x[/tex]

(a)

Graphing the function from x = 0 to x = 10:

b)

Evaluate the function for x = 5

[tex]\begin{gathered} V\left(5\right)=14995\left(0.72\right)^5 \\ V\left(5\right)\approx2901.41 \end{gathered}[/tex]

Answer:

$2901.41

c)

Let's solve the following inequality:

[tex]V\left(x\right)<1000[/tex]

so:

[tex]\begin{gathered} \left(0.72\right)^x<\frac{1000}{14995} \\ x<\frac{1}{ln\left(0.72\right)}*ln\left(\frac{1000}{14995}\right? \\ x>8.2 \end{gathered}[/tex]

Approximately after 8.2 years.

d)

[tex]4300=14995\left(y\right)^5[/tex]

Let's solve the previous equation in order to find the rate y:

[tex]\begin{gathered} y^5=\frac{4300}{14995} \\ y=\sqrt[5]{\frac{4300}{14995}} \\ y\approx0.78 \end{gathered}[/tex]

The depreciation rate is approximately:

[tex]0.78[/tex]

It depreciates 22% per year

Store A charges $10.00 for a pack of hotdogs and $8.00 for a pack of hotdog buns. Store B charges $11.00 for a pack of hotdogs and $7.50 for a pack of hotdog buns. Suppose you buy x packs of hotdogs and y packs of hotdog buns at both stores. You end up spend $80.00 at store A and $81.50 at store B. Which system of equations represents the total amount of money you spent on hotdogs and hotdog buns at each store?

Answers

Taking into account the definition of a system of linear equations, the system of equations that represents the total amount of money you spent on hotdogs and hotdog buns at each store is

10x + 8y= 80

11x + 7.50y= 81.50

System of linear equations

A system of linear equations is a set of linear equations that have more than one unknown, appear in several but not necessarily all of the equations, and are related by the equations.

In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in both equations.

System of equation in this case

In this case, a system of linear equations must be proposed taking into account that:

"x" is the packs of hotdogs buns at both stores."y" is the packs of hotdog buns at both stores.

You know that:

Store A charges $10.00 for a pack of hotdogs and $8.00 for a pack of hotdog buns. You end up spend $80.00 at store A.Store B charges $11.00 for a pack of hotdogs and $7.50 for a pack of hotdog buns.You end up spend $81.50 at store B.

The system of equations to be solved is

10x + 8y= 80

11x + 7.50y= 81.50

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Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3x(2x8) + 7 ?

Answers

7 + 3 × (2 × 8) is the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 × (2 × 8) + 7.

Given, 3 × (2 × 8) + 7

Following the application of the Commutative property of addition, which stipulates that altering the order of addends does not affect the result.

The expression will be,

7 + (2 × 8) × 3

Then, using the associative principle of multiplication, which states that how elements are arranged in a multiplication issue does not affect the product.

The expression will be,

7 + 3 × (2 × 8)

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what's the perimeter of 3x2-1x2-4x+3 for parallelogram?

Answers

Answer:

The perimeter of the parallelogram is;

[tex]8x^2-8x+4[/tex]

Explanation:

Given the figure of a parallelogram in the attached image.

With sides;

[tex]\begin{gathered} a=x^2-4x+3 \\ b=3x^2-1 \end{gathered}[/tex]

The perimeter of a parallelogram can be calculated using the formula;

[tex]P=2(a+b)[/tex]

substituting the given sides;

[tex]\begin{gathered} P=2(a+b) \\ P=2(x^2-4x+3+3x^2-1) \\ P=2(x^2+3x^2-4x+3-1) \\ P=2(4x^2-4x+2) \\ P=8x^2-8x+4 \end{gathered}[/tex]

Therefore, the perimeter of the parallelogram is;

[tex]8x^2-8x+4[/tex]

O POLYNOMIAL AND RATIONAL FUNCTIONSFinding the maximum or minimum of a quadratic function

Answers

Given

The function,

[tex]g(x)=x^2+4x[/tex]

To find:

The maximum or minimum value of the function, and where does it occur.

Explanation:

It is given that,

[tex]g(x)=x^2+4x[/tex]

That implies,

Set g(x)=y.

Then,

[tex]\begin{gathered} y=x^2+4x \\ y=(x+2)^2-4 \\ y+4=(x+2)^2 \end{gathered}[/tex]

Here, a=1>0.

Then, the parabola opens up.

And, k is the minimum functional value, it occurs when x = h.

Therefore,

1) g(x) has a minimum value.

2) g(x)'s minimum value is -4.

3) And it occurs at x = -2.

The question is below:

Answers

If function f(x) = √(x + 1) - 5 is translated three (3) units to the right and two (2) units up, the equation which represents g(x) is: D. f(x) = √(x - 2) - 3

What is a translation?

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

Translating f(x) = √(x + 1) - 5 three (3) units to the right and two (2) units up, we have:

f(x) = √(x + 1) - 5

f(x) = √(x + 1 - 3) - 5 + 2

f(x) = √(x - 2) - 3

In Geometry, g(x - 3) simply means shifting a graph three (3) units to the right while adding two (2) to the function simply means moving the graph up.

In this context, we can reasonably infer and logically deduce that the parent function f(x) was shifted 3 units to the right and 2 units up.

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please break down 145 + 216 with the hundreds tens and ones.

Answers

Step 1:

Sum the numbers

[tex]145+216=361[/tex]

Step 2:

Express the number in Hundreds, Tens, and Ones

3 has a value of 300

6 has a value of 60

1 has a value of 1

Therefore, to express 361 in hundreds, tens and ones

Find the y-intercept of line on the graph.

Answers

Answer:

the y intercept is -3. it is -3 because it goes through the point (0,-3)

A combined total of $41,000 is invested in two bonds that pay 6% and 7% simple interest. The annual interest is $2,700.00. How much is invested in each bond?

Answers

Answer

Amount invested at 6% interest = 17,000

Explanation

The simple interest on an invested principal (P), at a rate, R, for a period of time, T, is given by

Simple Interest = (PRT/100)

Let the amount invested at 6% be x

Let the amount invested at 7% be y

Sum of these amounts is $41,000

x + y = 41000

Simple Interest on x for 1 year

SI = (x × 6 × 1/100) = 0.06x

Simple interest on y for 1 year

SI = (y × 7 × 1/10) = 0.07y

Sum of annual interest = $2,700

0.06x + 0.07y = 2700

Now, we have a simultaneous equation

x + y = 41000

0.06x + 0.07y = 2700

Solving this simultaneously,

x = 17,000

y = 24,000

Hope this Helps!!!

20Which equation, when paired with the equation below, will create a system of equations with infinitelymany solutions?3x - 8y = -5A. 3x+ 8y = -5B.6x+ 16y = -10C.6x- 16y = -10D. -8x+ 3y = 5

Answers

ANSWER

C. 6x - 16y = -10

EXPLANATION

An equation or a pair of equations has infinite solutions when all numbers are solutions of the equation(s).

The left and right hand side of the equation(s) are the same.

So, we have to look for the equation such that the case happens.

To do that, we have to simply look for an equation that is identical to the given equation:

3x - 8y = -5

By observing keenly, we see that the identical one is:

6x - 16y = -10

Divide both sides by 2, we have that:

3x - 8y = -5

Let us try to solve these equations:

3x - 8y = -5

3x - 8y = -5

Subtract the second from the first:

3x - 8y = -5

- (3x - 8y = -5)

0 + 0 = 0

=> 0 = 0

We see that both sides are identical.

So, the answer is option C.

Gina's books has 349 fewer pages than terri's. if Gina's books has 597 pages, how many pages does Terri's books have?​

Answers

Gina's books has 349 fewer pages than Terri's, if Gina's books has 597 pages, Terri's books have 946 pages. In mathematics, an operation is function which takes zero or more input values (also called the "operands" or "arguments") to a well-defined output value. The number of the operands is the arity of the operation.

What is mathematical operations?

In mathematics, an operation is function which takes zero or more input values (also called the "operands" or "arguments") to a well-defined output value. The number of the operands is the arity of the operation.

The most commonly studied operations are the binary operations (i.e., the operations of arity 2), such as addition and multiplication, and the unary operations (i.e., the operations of arity 1), such as additive inverse and the multiplicative inverse. An operation of arity zero, or nullary operation, is constant. The mixed product is example of operation of arity 3, also called ternary operation.

Generally, arity is taken to be finite. However, the infinitary operations are sometimes considered, in which case "usual" operations of finite arity are called finitary operations.

A partial operation is defined similarly to operation, but with partial function in place of a function.

Gina's book = 597 pages

Terri's book= (597+349) pages

                   = 946 pages

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Please help me!! The question is in the attachment!!

Answers

Using it's concept, the probabilities are given as follows:

b) P(B|C) = 0.1429.

c) P(not A|B) = 0.8.

What is a probability?

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item b, the conditional probability can be written as follows:

P(B|C) = P(B and C)/P(C).

From the diagram, we have that:

P(B and C) = P(5) = 0.05.P(C) = P(5) + P(6) = 0.05 + 0.3 = 0.35.

Hence:

P(B|C) = 0.05/0.35 = 0.1429.

For item c, the conditional probability is:

P(not A|B) = P(not A and B)/P(B).

From the diagram, these probabilities are:

P(not A and B) = P(4) + P(5) = 0.15 + 0.05 = 0.20.P(B) = P(3) + P(4) + P(5) = 0.05 + 0.15 + 0.05 = 0.25.

Hence:

P(not A|B) = 0.20/0.25 = 0.8.

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Determine the probability of occurence of the following single eventsA "4" appears in a single toss of a die

Answers

SOLUTION

The probability of an event occuring is found using the formula

[tex]\frac{possible\text{ outcome}}{\text{total possible outcome }}[/tex]

There is only "one" 4, in a die, out of a total of "six" numbers labelled 1 to 6.

So, possible outcome = 1

Total possible outcome = 6, since the die was tossed once.

Probability becomes

[tex]\frac{1}{6}[/tex]

Hence the answer is

[tex]\frac{1}{6}[/tex]

What is the concentration of hydrogen ions in a solution with a pH of 2?

Answers

When pH is 2, the hydrogen ion concentration in [tex]litre^{-1}[/tex] is [tex]10^{-2}[/tex]

What is pH?

The pH value of water indicates how acidic or basic it is. The negative log of the hydrogen ion concentration is defined as pH. The pH scale starts from 0 and ends at 14. A pH of 7 is considered neutral because pure water has a pH of exactly 7. Acidic values are less than 7; basic or alkaline values are greater than 7.

Given that,

pH = 2 for HCl acid

We know that,

The relation between concentration of acid and pH is,

pH = -log[[tex]H^{+}[/tex]]

2 = -log[[tex]H^{+}[/tex]]

[tex][H^{+} ][/tex]  = [tex]10^{-2}[/tex]

Hence, the hydrogen ion concentration in a solution with a pH of 2 is [tex]10^{-2}[/tex].

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15. In circle A, SQ = 12 and AT = 8. Find AR.AR =AR

Answers

We have to find the length of AR.

It will be the same as the length of AS, as they are both radius of the circle:

[tex]AR=AS[/tex]

AS is the hypotenuse of a right triangle with legs AT and TS.

Also, TS has half the length of SQ, so we have:

[tex]TS=\frac{1}{2}SQ=\frac{1}{2}\cdot12=6[/tex]

We then can calculate AS as:

[tex]\begin{gathered} AS^2=TS^2+AT^2 \\ AS^2=6^2+8^2 \\ AS^2=36+64 \\ AS^2=100 \\ AS=\sqrt[]{100} \\ AS=10 \\ \Rightarrow AR=10 \end{gathered}[/tex]

Answer: AR = 10

Find the solution of each equation if the replacement set is 10 11 12 13

Answers

[tex]\frac{b}{5}=2[/tex]

If we replace with 10:

[tex]\frac{10}{5}=2[/tex][tex]2=2[/tex]

10 is a solution.

Let's try with 11:

[tex]\frac{11}{5}=2[/tex][tex]2.2\ne2[/tex]

11 is not a solution.

WIth 12:

[tex]\frac{12}{5}=2[/tex][tex]2.4\ne2[/tex]

12 is not a solution

WIth 13

[tex]\frac{13}{5}=2[/tex][tex]2.6\ne2[/tex]

13 is not a solution.

Therefore, the solution to this equation is 10

Can anyone put on these on a table
y=4x-7 and y + x =6

Answers

Answer:

4x_7+x=6 4x_x=7+6 3x=13 x=13÷3

For the following exercises, consider this scenario: There is a mound of g pounds of gravel in a quarry. Throughout the
day, 400 pounds of gravel is added to the mound. Two orders of 600 pounds are sold and the gravel is removed from
the mound. At the end of the day, the mound has 1,200 pounds of gravel.

Answers

The value of g for the given conditions is obtained from linear equations as 2000.

What is a linear equation?

A linear equation in one variable has only one variable of order 1. It has the formula ax + b = 0, where x is a variable. There is only one solution to this equation.

The initial amount is given as g.

400 pounds is added.

2 times 600 pounds is taken out.

The remaining amount is 1200 pounds.

Form a linear equation from the given constraints.

g+400-2(600)=1200

Solve the linear equation using basic mathematical functions.

g+400-1200=1200

g=2400-400

g=2000

So, the value of g is obtained using the linear equation as 2000.

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If a linear function has no restrictions, the domain of the function is

Answers

The Domain of the linear function with no restriction is  (-∞,∞)

What is a linear function?

A linear function is of the form  f(x)  = ax+ b, where a and b are constants , x is independent variable and the graph of such function is a straight line.

Domain of f is the set of all values of x for which function f is defined.

Given that the linear function has no restrictions , means the values of the function can be from anywhere of real line.

-∞  < f(x) < ∞

⇒ -∞  < ax+ b < ∞    , where a≠0

⇒  -∞- b  < ax+ b-b  < ∞ -b

⇒  -∞  < ax < ∞      ( adding or subtracting anything from infinity does not  

                                  make any difference)

⇒ -∞  < x < ∞  

Thus the domain of the linear function which has no restriction is (-∞,∞)

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50 POINTS!David borrowed money from a credit union for 5 years and was charged simple interest of 6%. The total interest that he paid was $2,100. How much money did he borrow? determine whether the order pair is a solution 3x-1+2=4 two charges have a force of 8 n between them when the distance between them is suddenly increased by a factor of 2. the new force will be _________ n Purple hibiscusChapter 8Describe Aunty Ifeomas house, and how she greets Jaja, Kambili, and Kevin. How many bedrooms are there? Where will people sleep? Mr tan had 2 kg of sugar. He used 1/4 kg of sugar to make dessert and 3/5 kg of sugar to bake some cakes. What was the total mass of sugar used? How much sugar did he have left? We poll 550 people and find that 60% favor Candidate S. In order to estimate with 90% confidence the percent of ALL voters would vote for Candidate S, we should use: Which term describes the rearranging of genetic material between nonhomologous chromosomes without a net loss or gain of genetic material?. what is the probability that a card drawn randomly from a standard deck of 52 cards is a nine? express your answer as a fraction Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 190 days. Provide 3 decimal places and units in your answer. what do we learn about igbo justice from the way to town of mbaino made amends to okonkwo's village I dont know the rest of the definition of my vocabulary Which of the following is the best example of a secondary reinforcer?O Drinking a glass of cold lemonade on a hot day.Earning an "A" on this psychology test.O Having a hot meal after a long hike on a cold day.O Bundling up in a warm blanket on a very cold day. Suppose you had a job you did not like. If you read that the economy was in the contracting phase of the business cycle, would you be more or less likely to quit your job and look for a new one? Why or why not? The Dust Bowl (1930 - 1936)2. What was a "suitcase farmer?"HELP ME!!! Solve the following Let f(x) = | 1-7x /3 | find all of x for which f (x) = 3 Taxol is an anticancer drug extracted from the pacific yew tree that binds to microtubules and prevents their depolymerization. Which phase of mitosis or cell division would be inhibited by treatment with taxol?. 8) 0.450 moles of NaCl are dissolved in 145.0 mL of water. Calculate the molarity of the NaCl solution. Could you help me and the question 5? Which of the following conclusions can be drawn based on information from the map?Popular culture is widespread throughout southern Asia. Popular culture is not likely to have diffused to Australia. Indigenous culture is likely to thrive in central Africa. Citizens in South America are exposed to very little popular culture. North America and Australia are likely very isolated from popular culture. What does origin mean? how can you find the origin in a graph?