Given the following segment lengths,
find the value of x.

Given The Following Segment Lengths,find The Value Of X.

Answers

Answer 1

If AB = 19 and AC = 17 then the value of x be 95/9 or 10.5555.

What is meant by angle bisector?

In geometry, a line that divides an angle into two equal angles is referred to as an angle bisector. By definition, a bisector is something that divides an object or a shape into two equal parts. A ray is said to be an angle bisector if it divides an angle into two equal portions of the same measure.

The ray, line, or segment that divides an angle into two equal portions is known as the angle bisector in geometry. A 60-degree angle, for instance, will be split into two angles of 30 degrees each by an angle bisector. To put it another way, it separates one angle into two smaller congruent angles.

The segment AD bisects angle BAC.

Given: AB = 19 and AC = 17

AD is an angle bisector of BAC and divides the opposite side into segments that are proportional to the other two sides, that is

Let the equation be

[tex]$& \frac{B D}{C D}=\frac{A B}{A C}(\text { substitute values ) } \\[/tex]

[tex]$& \frac{x}{20-x}=\frac{19}{17}(\text { cross- multiply) } \\[/tex]

Simplifying the above equation, we get

[tex]$$x \cdot 17=380-19 x$$[/tex]

36x = 380

Divide both sides by 36, we get

[tex]$\frac{36 x}{36}=\frac{380}{36}$$[/tex]

x = 95/9 = 10.5555

Therefore, the value of x be 95/9 or 10.5555.

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Related Questions

solve the equation 4x+2y-8=0

Answers

Answer:

X=0

Y=4

Step-by-step explanation:

4X+2y-8=0

2y=4x+8

y=2x+4

Substituting y in the equation

4x+2(2x+4)-8=0

4x+4x+8-8=0

8x=0

X=0

Substituting in equation y=2x+4

y=2(0)+4

Y=4

When multiplying 32 and 8, _____.
when we multiply 8 x 2, we will add drop down the 6
when we multiply 8 by 3, we will add 1
both of these are correct
neither of these are correct

Answers

Both of these are correct. When multiplying 32 and 8, we should follow these steps:

Multiply 8 by 2, which is the last digit of 32. This gives us 16.Drop down the 6 and carry the 1.Multiply 8 by 3, which is the second to last digit of 32. This gives us 24.Add the 1 that we carried from the previous step to 24, which gives us 25.Drop down the 5 and carry the 2.Since there are no more digits in 32 to multiply, we can drop down the 2 that we carried.The final answer is 256.

So, the correct answer is 256.

Here is the multiplication shown step-by-step:

 32
   8

 16 --> drop down 6 and carry the 1

1
32
   8

   6

24-   --> drop down the 4 and add 1; carry the 2

 56

2

 32
    8

   6

 5 -

2 - - --> drop down the 2 since no more digits available to multiply

256 --> the answer

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Solve the system of equations by elimination. Express the solution as an ordered pair.
-3x+y = -13
4x - 2y = 16

Answers

The solution of the system of equations is (5, 2).

How to solve the system of equations?

Here we want to solve the system of equations:

-3x + y = -13

4x - 2y = 16

By the elimination method.

If we take the first equation and we multiply it by 2, we will get:

2*(-3x + y) = 2*-13

-6x + 2y = -26

Now we can add the two equations to get:

(-6x + 2y) + (4x - 2y) = -26 + 16

-2x = -10

x = -10/-2

x = 5

And the value of y is given by evaluating one of the equations in x = 5, using the first one.

-3*5 + y = -13

-15 + y = -13

y = 15 - 13 = 2

The solution is (5, 2)

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2) Practice: Organizing Information
Fill in the blanks to complete the list.
Properties of Slope
• A steep line has a bigger ____________ than a flat line.
• Equally steep lines have ____________ slopes.
• Lines that go up from left to right have ______________ slopes.
• Lines that go down from left to right have ______________ slopes.

Answers

The one word that fits in each case will be slope, equal, decreasing, and increasing, respectively.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A steep line has a bigger slope than a flat line.

Equally steep lines have equal slopes.

Lines that go up from left to right have decreasing slopes.

Lines that go down from left to right have increasing slopes.

The one word that fits in each case will be slope, equal, decreasing, and increasing, respectively.

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the mean of this distribution is 0.009 and the sd is 0.004. would you expect about 95% of the samples to have their variances within 0.008 of 0.009? why or why not?

Answers

No, we would not expect about 95% of the samples to have their variances within 0.008 of 0.009.

The variance of a normal distribution with mean μ and variance σ^2 is given by σ^2, which in this case is equal to (0.004)^2 = 0.000016.

The variance of the sample means, on the other hand, is given by σ^2/n, where n is the sample size. In order for about 95% of the samples to have variances within 0.008 of 0.009, we would need the sample size to be approximately equal to:

n ≈ σ^2 / (0.008 - 0.009)^2 = 62500

This means that we would need very large samples for this to be true. However, if the sample size is relatively small, then the distribution of sample means will not necessarily be normal and the Central Limit Theorem may not apply.

In that case, the distribution of sample variances will not necessarily follow the same pattern as the distribution of the population variance, and it may not be possible to make predictions about the sample variances based on the population parameters.

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thirteen percent of the population is left-handed. if we select 5 people at random, find the probability: the first lefty is the second or third person chosen. round your answer to four decimal places.

Answers

Answer:

0.2115

Step-by-step explanation:

probability the first lefty is the second person:

1. the first person must be right handed (1-13% = 0.87)

2. the second person must be left handed (0.13)

both must happen, so this is 0.87 * 0.13

probability the first lefty is the third person:

1. the first person must be right handed (0.87)

2. the second person must be right handed (0.87)

3. the third person must be left handed (0.13)

all must happen, so this is 0.87 * 0.87 * 0.13

either the second or third person must be left handed, so we add this to get

0.87 * 0.13 + 0.87 * 0.87 * 0.13 = 0.2115

Evaluate each expression using substitution and order of operations. Show your thinking.
(y + 2)² at y = -4

Answers

Answer:

(y+2)^2

= y^2 + 4y + 4

now plug in -4 in y's

=(-4)^2 + 4(-4) + 4

=8-16+4

=-4

suppose that a particular nba player makes of his free throws. assume that late in a basketball game, this player is fouled and is awarded two free throws. a. what is the probability that he will make both free throws? (to 4 decimals) b. what is the probability that he will make at least one free throw? (to 4 decimals)

Answers

a) The probability that he will make both free throws is 81 %

b) The probability that he will make at least one free throw is 18 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the particular NBA player makes 90 % of his free throws

Now , the equation will be

The probability that the first shot going in = 90 %

And , the probability that the first shot does not go in = 10 %

So , there are 4 scenarios when he is awarded 2 free throws

Both the shots going in = 90 % x 90 %

Both the shots not going in = 10 % x 1- %

Missing one shot and and one shot going in = 10 % x 90 %

And , One shot going in and missing one shot = 90 % x 10 %

a)

Now , the probability that he will make both free throws = Both the shots going in

Substituting the values in the equation , we get

The probability that he will make both free throws = 0.9 x 0.9 = 0.81

The probability that he will make both free throws = 81 %

b)

The probability that he will make at least one free throw = Missing one shot and and one shot going in = 10 % x 90 %   +   One shot going in and missing one shot = 90 % x 10 %

Substituting the values in the equation , we get

The probability that he will make at least one free throw = 0.1 x 0.9 + 0.9 x 0.1

The probability that he will make at least one free throw = 0.09 + 0.09

The probability that he will make at least one free throw = 0.18

The probability that he will make at least one free throw = 18 %

Hence , the probabilities are solved

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in what way can a truthful set of statistics regarding a rise in vehicle theft over the course of a year in a city not reflect the actual situation?

Answers

A truthful set of statistics regarding a rise in vehicle theft over the course of a year in a city might not reflect the actual situation in several ways.

Here are a few possible examples:

Underreporting or overreporting: The statistics might be based on police reports of stolen vehicles, which may not capture all incidents of vehicle theft in the city. For instance, some victims may not report the theft to the police, or some incidents may be misclassified as other types of crime. Similarly, the statistics might include some incidents that are not actually vehicle thefts, such as cases where the vehicle was recovered undamaged or cases where the vehicle was not actually stolen, but rather borrowed without permission.

Geographical bias: The statistics might show an overall rise in vehicle thefts, but fail to capture the fact that the increase is concentrated in certain parts of the city. For example, a rise in thefts in a particular neighborhood might be masked by a decrease in thefts in other areas of the city.

Seasonal or temporal bias: The statistics might show an increase in vehicle thefts over the course of a year, but fail to account for seasonal or temporal factors that could be driving the increase. For instance, thefts might be more common during certain times of year (e.g., the summer) or on certain days of the week (e.g., weekends). If the statistics do not adjust for these factors, they might misrepresent the true trend in vehicle thefts.

Demographic bias: The statistics might show an increase in vehicle thefts overall, but fail to capture the fact that the rise is driven by thefts of certain types of vehicles or in certain neighborhoods. For example, if the increase is largely driven by thefts of high-end vehicles or in affluent areas, the statistics might not reflect the experiences of people who own less expensive vehicles or live in less affluent areas.

Overall, it's important to interpret statistical data with a critical eye and consider the limitations of the data source and methodology before drawing conclusions about the real-world situation.

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You are an Insurance representative for a large company in the Midwest. You receive

a commission based on the total sales of all the Insurance salespeople in your group.

Your commission is 2% of the first $500,000 of sales, 4% of the next $500,000, and

5% of all sales over $1,000,000. What is your commission for a month in which your

sales people sold $1,250,000 in insurance policies?

Answers

Your commission for a month in which your sales people sold $1,250,000 in insurance policies is $62500

We know that in order to determine the percentage, we divide the value by the total value and then multiply the resultant by 100.

The formula for the percentage would be,

percent = (number of parts / total number of possible parts) × 100%

Here, for a particular month your sales people sold $1,250,000 in insurance policies.

As we can see that your commission would be 5% of all sales over $1,000,000

Let us assume that your commission for that month be x dollars.

Since 1,250,000 > 1,000,000

We need to find 5 percent of $1,250,000

i.e., x = 5 percent of $1,250,000

Using percentage formula,

x = 1,250,000 × (5/100)

x = 62500

Therefore, your commission will be 62500 dollars.

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LaShonda's Nursery buys crates of firewood to deliver to customers over the winter. Each crate
measures 3 feet long, 2.5 feet wide, and 3 feet high. How much storage space does the nursery
need for the wood if 75 crates are delivered in an order?
OA 675.0 cubic feet
OB 1,687.5 cubic feet
OC 3,937.5 cubic feet
OD 3,375.0 cubic feet

Answers

Based on the information provided, the storage space that will be required for 75 is 1,687 cubic feet in total.

How to calculate the storage space for 75 crates?

To begin, let's determine the storage space for a single crate and to do this, let's calculate the volume:

Volume: Lenght x height x width

Volume: 3 x 2.5 x 3 = 22.5 cubic feet

Now, let's calculate the space for 75 crates:

volume of one crate x 75 crates

22.5 x 75 = 1,687 cubic feet

Based on this, it can be concluded that 75 crates will occupy 1,687 cubic feet.

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Find the value of a, the value of b and the value of c.

Answers

The value of c in the given question is 77.5.

What is value?

When something can be seen as a gauge of how important something is to a person or organization, it is frequently seen as a reflection of one's worldview and can help to shape attitudes, decisions, and behaviors. Value is a subjective concept that refers to the word of importance that an individual group of people places on something. It is frequently associated with fundamental beliefs and standards that are accepted by society. Depending on the context of the commands, believe is a relative concept.

The Triangle Angle Sum Theorem, which asserts that the sum of the angles in a triangle equals 180°, must be applied in order to find x. Segment AD cuts angle BAC in half, hence the two angles must be equivalent. In order to solve for x, we can build up the following equation:

180° = angle BAC = (x + 7) + (x + 18)

We can solve this equation by combining like terms and isolating the variable x.

180° = 2c + 25

2c = 155

C = 77.5

Therefore, the value of C is 77.5.

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Given the following frequency table of preferred weekend activities
a. Complete the table and find the value of x.
X =
Movies Theme Totals
Parks
379
Male
X
Female 180
Totals
575
1000

Answers

Here is the completed table:

                     Movies    Theme park  Totals

Males              245                 379           624

Females          180                 196            376

Totals                425             575             1000

How to complete the table?

Total number of people that watch movies = totals - total number of people that go to theme parks

1000 - 575 = 425

Total number of males that watch movies = total number of people that watch movies - number of males that go to the theme park

425 - 180 = 245

Total number of males = Total number of males that watch movies + males that go to the theme park

 245 + 379 = 624

Total number of females = totals - total number of males

1000 - 624 = 376

Total number of females that go to theme parks = total number of females - total number of females that go to the theme park

376 - 180= 196

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question 1

determine the measure of FA

Answers

Answer:

arc FA = 150°

Step-by-step explanation:

the central angle of a circle is equal to the measure of the arc that subtends it.

given BF is the diameter of the circle , then

∠ FCA + ∠ ACB = 180°

∠ FCA + 30° = 180° ( subtract 30° from both sides )

∠ FCA = 150°

then

arc FA = ∠ FCA = 150°


Andy has $27 to spend at an amusement
park. Gate admission is $3 and each ride
costs $1.50.
What is the maximum value of a reasonable
domain

Answers

Answer:

The maximum of a set is the largest of a set.
arrange the terms in ascending order, 1.5, 3, 27.
take the biggest element of the ascending data set, which Is 27.

Step-by-step explanation

I tried my best I’m not the best at math. But I felt like someone needed help. I really hope you do well my friend. I’m sorry If the answer is in correct, I’m in geometry.

The product of m and n divided by three times their different

Answers

The expression "The product of m and n divided by three times their difference" can be written as (m * n) / (3 * (m - n)).

Let's break this down:

"The product of m and n" means you multiply m by n, which is written as "m * n".

"Divided by" means you divide the product by something else. In this case, we're dividing by "three times their difference".

"Their difference" refers to the difference between m and n, which is written as "m - n".

"Three times their difference" means you multiply the difference by 3, which is written as "3 * (m - n)".

So, putting it all together, we have:

(m * n) / (3 * (m - n))

This expression represents the product of m and n, divided by three times their difference.

It's important to note that this expression is undefined when m = n, because in that case, the denominator (3 * (m - n)) would be equal to zero. Division by zero is undefined, so we cannot evaluate the expression when m = n.

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The angle between 0 and 2π in radians that is coterminal with the angle 55/8π in radians is

Answers

The angle between 0 and 2π  in radians which is Coterminal with angle 55π/8 in radians is 39π/8 radians .

We have to find coterminal angle between 0 and 2π in radians with an angle given in radians,

The angle is "55π/8"  in radians,

On simplifying ,

we get ;

⇒ 55π/8 = (55/8) × π

To find an angle coterminal with this angle between 0 and 2π, we  subtract or add multiples of 2π until we get an angle in range of 0 and 2π.

So , we convert 2π to same units as our angle :

⇒ 2π = 16π/8  ;

Next, we subtract the multiples of 16π/8 until we get an angle between 0 and 2π.

⇒ (55/8)π - 16π/8 = (55-16)π/8 = 39π/8  ;

This angle is between 0 and 2π, so it is coterminal with the angle 55π/8.

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The given question is incomplete , the  complete question is

The angle between 0 and 2π in radians that is coterminal with the angle 55π/8 in radians is  ?

What type of problem is "What number multiplied by the expression of 5 x 10^3 is equivalent to the expression 5 x 10^6?"
Not asking for a solution, just wondering what kind of problem it is

Answers

We can solve steps in expressions with many operations in accordance with the order of operations. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. The fourth rule is that we always add and subtract from left to right.

Use the acronyms PEMDAS or BODMAS to determine the sequence of operations. PEMDAS: Parentheses ⇒  (3+4)

Exponents ⇒ 3², Multiply ⇒ 8*4, Divide ⇒ 12÷4, Add ⇒ 6+6, Subtract ⇒ 10-5. BODMAS: Brackets, Order, Divide, Multiply, Add, Subtract .A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Using PEMDAS, we can retain the following order: Exponents, parentheses, addition, subtraction, multiplication, and division (from left to right) Parentheses, exponents, multiplication, division, addition, and subtraction are the orders in which operations must be performed, according to the order of operations. Both BODMAS and PEMDAS are valid and in use in various parts of the globe.

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What is the sum of 3 of the interior angles of a regular pentagon?

Answers

Answer
540 degrees

Explanation
180(n-2)
=180(5-2)
=180(3)
=540

540° is your answer!

Gonzalez little sister thinks that all of Deazia's
time slash distances point should be on the line drawn by her coach is she correct explain your reasoning ​

Answers

Gonzalez little sister thinks that all of Deazia's time slash distances point should be on the line drawn by her coach which is correct as it provides an accurate reference frame.

What is a Reference frame?

This is a term which is used to represent a set of coordinates or it is also referred to as something you use to measure the things that matter in Newtonian problems and other areas of life.

Time slash distances point which should be on the line drawn by her coach is correct because it makes the measurement of the different variables and parameters involved to be more accurate as against when another line is used.

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Write an equation of the line passing through point P(0,
1) that is parallel to the line y =
2x +3.
L
y =

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Parallel lines have the same slope.  The slope in the equation y = 2x + 3  is 2.  The slope of the parallel equation will be 2 also.

We will use the slope, and the point (0,1) to help us write the new equation.

The y intercept of the parallel line is 1.  When x = 0, y is where the line will cross the y axis.  So the y intercept is 1

The slope (m) is 2 and the y-intercept (b) is 1.

y = mx + b  Substitute 2 for m and 1 for b.

y = 2x + 1


1) The U.S. per capita consumption of beef decreased from 67.8 pounds in 2000 to 55.4 pounds in
2016. Find the relative difference.

Answers

Answer:

20.2%

Step-by-step explanation:

he relative difference between two values can be calculated using the formula:

Relative Difference = (|V1 - V2| / ((V1 + V2) / 2)) * 100%

where V1 is the first value and V2 is the second value.

For the U.S. per capita consumption of beef, we have V1 = 67.8 pounds in 2000 and V2 = 55.4 pounds in 2016. Plugging these values into the formula, we get:

Relative Difference = (|67.8 - 55.4| / ((67.8 + 55.4) / 2)) * 100%

Relative Difference = (12.4 / 61.6) * 100%

Relative Difference = 0.202 * 100%

Relative Difference = 20.2%

So the relative difference between the U.S. per capita consumption of beef in 2000 and 2016 is 20.2%.

my brotherdid homework from 7.30 p.m to 8.52 p.m while i did mine from 8.40 to 10.00 p.m who took shorter time to complete his homework and by how long​

Answers

Answer:

you took shorter time to complete by 2minutes

Step-by-step explanation:

30 minutes till 8.00 pm

plus

52 minutes

so

30+52=82 minutes

my homeworks

20 minutes till 9.00 pm

plus 1 hour or 60 minutes till 10.00 pm

20+60=80 minutes

80<82

so I took shorter time to complete the homework

What is the mortgage loan amount on a home that sells for $230,000 with a down payment of $23,000? Use the formula
M = S − D,
where M is the mortgage loan amount, S is the selling price, and D is the down payment

Answers

The mortgage loan amount on a home that sells is 207000$.

A down payment is the initial amount a buyer pays to purchase an expensive product or service. The down payment represents a portion of the total purchase price, and the buyer often takes out a loan for the rest.

The formula loan calculators use is I = P * r *T in layman's terms Interest equals the principal amount multiplied by your interest rate times the amount in years.

M = S − D where M is the mortgage loan amount, S is the selling price, and D is the down payment.

M = $230,000 -  $23,000

and  =   207000$

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when a new baby is born to the johnsons the family decides to invest $5000 in an account that earns 7% interest

Answers

The amount in the college fund is $16,899.66

How to determine the amount in the college fund?

In order to determine the amount in the college fund, we need to find the  future value of the money.

The formula for the future value of money is:

FV = PV * (1 + r)^t

where:

FV = future value

PV = present value (initial amount)

r = interest rate (as a decimal)

t = time (in years)

PV = $5000, r = 7% = 0.07, t = 18

FV = PV * (1 + r)^t

FV = 5000 * (1 + 0.07)¹⁸

FV = 5000 * (1.07)¹⁸

FV = $16,899.66

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Complete Question

When a new baby is born to the Johnsons, the family decides to invest $5000 in an account that earns 7% interest as a way to start the baby's college fund. If they do not touch that investment for 18 years, how much will there be in the college fund?

How do I factor this polynomial?

2r³t8r²-90r

Answers

Answer: it is already factored

Step-by-step explanation:

First, you find the GCF(Greatest Common Factor), which is 2r. Then you take it out. 2r(r^2+4r-45). Then you solve like normal. 2r(r+9)(r-5).

PARALLEL PERPENDICULAR OR NEITHER

Answers

Answer: Neither (look at the image for the solution)

Step-by-step explanation:

Answer: parallel

Step-by-step explanation:

look at the lines and u can see two lines so parallel

solve 48=5\left(2x-7\right)+\:3 justify each step you may not use all the rows in the proof

Answers

The value of x justify the equation is x = 8.

What do you understand by Equation?

An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equal sign."='

These two expressions on either side of the equals sign are called the "left hand side" and "right hand side" of the equation. Generally, we assume the right hand side of an equation is zero.

Polynomial equations with one variable can be written in P(x) = 0, where P is a polynomial, and ax + b = 0 is the general form of linear equations. Here, a and b are parameters.

Given:

48 = 5(2x - 7) + 3

Distribute 5:

48 = 10x - 35 + 3

Combine like terms:

48 = 10x - 32

Add 32 on both sides,

48 + 32 = 10x - 32 + 32

80 = 10x

Divide by 10 on both sides,

80/10 = 10x/10

x = 8

Check this value

Plug in x to verify it's a solution

48 = 5(2(8) - 7) + 3

48 = 5(16 - 7) + 3

48 = 5(9) + 3

48 = 45 + 3

48 = 48

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at most, how many references in this line could be null and might cause the nullpointerexception to be thrown?

Answers

None. There are no references in this line. This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.

This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.

This line of code does not contain any references at all. Therefore, it is not possible for any references to be null, and it is impossible for a NullPointerException to be thrown in response to this line. NullPointerExceptions are only thrown when a program attempts to use a reference that is null, but this line does not contain any references, so such an exception is not possible. Consequently, no references can be null in this line and no NullPointerException can be thrown.

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Find the product of 3√2 and 4√/18 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
Result:

The result i
because it
integers and its decimal expansion
be written as the ratio of two

Answers

The product of 3√2 and 4√/18 can be simplified to 12√2/18. This result is an irrational number, because it cannot be written as the ratio of two integers and its decimal expansion is neither terminating nor repeating.
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