Question 19 (4 Points) Saving. Enter A Whole Number. If You Are "Charged" 3¢ For Each Use Of A Straightedge And 5¢ For Each Use Of A Compass, Performing The Cheapest) Straightedge And Compass Construction Of Two Perpendicular Straight Lines Will Cost You
A/ Any Time You Must Move The Straightedge Or Compass, You Incur A New Charge.

Answers

Answer 1

The cheapest straightedge and compass construction of two perpendicular straight lines will cost you 11¢. This is because each use of the straightedge costs 3¢, and each use of the compass costs 5¢. Therefore, it takes three uses of the straightedge (3 x 3¢ = 9¢) and two uses of the compass (2 x 5¢ = 10¢) to create the two perpendicular straight lines, for a total of 11¢. So it will cost you  11¢

To create the perpendicular lines, first move the straightedge to create a line segment with one endpoint at the origin. Next, place the compass at one endpoint of the line segment and draw an arc with the desired radius, cutting the line segment at another point. Then, repeat this process with the straightedge and compass, but with the compass at the new endpoint and draw a perpendicular arc, intersecting the original arc. This will create the two perpendicular lines.

Each time you move the straightedge or compass, you incur a new charge. As outlined above, it will take three moves of the straightedge and two moves of the compass, for a total of five moves and a cost of 11¢.

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Related Questions

Rewrite 0.2'6 as a proper fraction (in the form of a over b)show all the steps

Answers

The expression 0.26 when written as a fraction in its lowest term is 13/50

How to rewrite the expression as a fraction

Based on the question, we have a set of values that can be used in our calculations.

Fraction = 0.26

As a general rule, a fraction can be expressed as a/b

Where

Upper part = Numerator = aLower part = Denominator = b

Using the above values as a guide, we have the following expression

Fraction = 0.26

Multiply the fraction by 1

Fraction = 0.26 * 1

Express 1 as 100/100

So, we have

Fraction = 0.26 * 100/100

Evaluate the product of 0.26 and 100

This gives

Fraction = 26/100

Reduce the quotient of 26 and 100 to the lowest terms by dividing by 2

Fraction = 13/50

Hence, the fraction of 0.26 is 13/50

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30 pounds = ___ ounces

1.875
3.75
240
480

Answers

30 pounds = 480 ounces

How to convert Pounds to Ounces

1 pound (lb) is equal to 16 Ounces (oz).

1 lb = 16 oz

The mass m in ounces (oz) is equal to the mass m in pounds (lb) times 16:

[tex]m_{(oz)} = m_{(lb)} * 16[/tex]

Solution :

Convert 30 lb to ounces:

[tex]m_{(oz)} = 30 lb * 16 = 480[/tex] [tex]oz[/tex]

Therefore, 30 pounds converted to ounces is 480 ounces.

Answer: 30 pounds = 480

Step-by-step explanation:

Devide 240g in the ratio 5 : 3 : 4

Answers

The given quantity 240 g can be divided as 100 g, 60 g, and 80 g such that the quantities are in the ratio 5: 3: 4.

What is Ratio:

A ratio is a comparison between two or more quantities that are measured in the same units.

It is often expressed as a fraction or a colon and is used to describe the relative size or amount of one quantity compared to another.

Here we have 240g

We need to divide 240 g into a 5: 3: 4 ratio

Let 5x, 3x, and 4x be the divided parts

=> 5x + 3x + 4x = 240 g

=> 12x = 240 g

=> x = 20 g  

Now calculate the divided parts as follows

5x = 5(20 g) = 100 g

3x = 3(20 g) = 60 g

4x = 4(20 g) = 80 g

Therefore,

The given quantity 240 g can be divided as 100 g, 60 g, and 80 g such that the quantities are in the ratio 5: 3: 4.  

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Help me please I need help with my math assignment it’s hard for my three brain cells :D

Answers

Answer:

if we follow the rule using y=mx+c, we would use rise and run so the distance is 3 up and 4 run.

7 total distance i guess.....i hope this helps.

540 is what percent of 8460

Answers

Answer:

6.3829787234%

Step-by-step explanation:

Use substitution to solve

Answers

Answer:

y=3x+8

2y=6x+16

2(3x+8)=6x+16

6x+16=6x+16

Infinite Many Solutions

geometric probability

Answers

The probability that the point will be in the square is given by P = 63.70 %

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 probability that the point will be in the square be P

Now , the radius of the circle r = 1 inch

So , the area of the circle = πr²

The area of circle = 3.14 inches²

Now , the diagonal of the square = 2 inches

So , the area of the square = 2 inches²

And , probability that the point will be in the square P = ( area of the square / area of circle ) x 100

On simplifying , we get

The probability that the point will be in the square P = 2 / 3.14

The probability that the point will be in the square P = 0.6370

The probability that the point will be in the square P = 63.70 %

Hence , the probability is 63.70 %

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help please, im not sure what im doing anymore

Answers

The length of arcs MH and TY in terms of π are 18π cm and 22π cm respectively.

How to determine the lengths of arc MH and TY

Arc length = (central angle / 360) x (2 x π x radius)

Arc length of sector of circle = (θ/360º) × 2πr

For the sector MRH:

θ = 180° - 72° = 108°

r = 30 cm

Arc length MH = (108°/360º) × 2π × 30 cm

Arc length MH = 9 × 2π cm

Arc length MH = 18π cm.

For the sector MRH:

θ = 72°

r = (25 + 30) cm = 55 cm

Arc length TY = (72°/360º) × 2π × 55 cm

Arc length TY = 1 × 2π × 11 cm

Arc length TY = 22π cm

Therefore, the length of arcs MH and TY in terms of π are 18π cm and 22π cm respectively.

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please help: solve for x round to the nearest tenth​

Answers

The length of the side x in the triangle is approximately 7.5.

Describe Right angled triangle?

A right-angled triangle is a geometric shape that consists of three sides and three angles. One of the angles in a right-angled triangle measures 90 degrees, which is called a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are called the legs or catheti.

The Pythagorean theorem is a fundamental property of right-angled triangles that states that the sum of the squares of the two shorter sides (legs) is equal to the square of the hypotenuse. This can be written as:

a² + b² = c²

where a and b are the lengths of the legs, and c is the length of the hypotenuse.

Right-angled triangles also have many real-world applications, such as in construction, engineering, architecture, and navigation. They are used to calculate distances, heights, angles, and other measurements in many different contexts.

Using trigonometry, we can solve for x:

sin(32°) = x/14

x = 14 * sin(32°)

x ≈ 7.5 (rounded to the nearest tenth)

Therefore, the length of the side x in the triangle is approximately 7.5.

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wing system of equations. If there is a solution, write your ans 4x+8y=40 6x+3y=6

Answers

The solution of the given system of equations is x = -1 and y = 4.

The given system of equations is 4x + 8y = 40 and 6x + 3y = 6.


To solve this system of equations, we need to use elimination method. We can subtract 6x from both sides of the second equation and subtract 4x from both sides of the first equation. We get:

8y = 40 - 4x and 3y = 6 - 6x


We can now divide both sides of the second equation by 3 to obtain y = 2 - 2x.


We can substitute the value of y from the second equation into the first equation to get 4x + 8(2 - 2x) = 40, which simplifies to -8x = 8. We can solve this equation for x by dividing both sides by -8, resulting in x = -1.


Substituting the value of x into either equation, we can obtain y = 4. So, the solution of the given system of equations is x = -1 and y = 4.

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Rearrange the parallelogram as a rectangle. Then find the area.

Answers

The area of the rectangle is 9 square units

How to determine the area of the rectangle

First, we need to know the properties of a rectangle. They are;

A rectangle is a quadrilateralThe opposite sides are parallel and equal to each otherEach interior angle is equal to 90 degreesThe sum of all the interior angles is equal to 360 degreesThe diagonals bisect each otherBoth the diagonals have the same length

From the diagram shown, we have that;

Length of the transformed shape(parallelogram to rectangle) = 3 units

Width = 3 units

The formula for the area of a rectangle is expressed as;

Area = lw

Substitute the values

Area = 3(3)

Area = 9 square units

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Hello user can you help my question. (See picture below)

Answers

Step-by-step explanation:

1. R

2. W

3. O

4. RW

5. OW

6 RO

7. RWO

2.

1.UG

2. G

3. MG

4. MU

5. M

6. U

Your answer is incorrect. Divide. (3+3i)/(-1-3i) Write your answer as a complex number in

Answers

(3+3i)/(-1-3i) = -3 + 9i

To divide the complex numbers (3+3i)/(-1-3i), follow these steps:

Step 1: Multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of -1-3i is -1+3i. (3+3i) / (-1-3i) * (-1+3i) / (-1+3i)

Step 2: Apply the distributive property (FOIL) in both the numerator and the denominator.

Numerator: (3 * -1) + (3 * 3i) + (3i * -1) + (3i * 3i) = -3 + 9i - 3i - 9i^2 Denominator: (-1 * -1) + (-1 * 3i) + (-3i * -1) + (-3i * 3i) = 1 - 3i + 3i + 9i^2

Step 3: Remember that i^2 = -1 and simplify both the numerator and the denominator.

Numerator: -3 + 9i - 3i + 9(-1) = -3 + 9i - 3i - 9 = -12 + 6i

Denominator: 1 - 3i + 3i - 9(-1) = 1 + 9 = 10

Step 4: Divide the real and imaginary parts by the simplified denominator.

Real part: -12/10 = -6/5

Imaginary part: 6i/10 = 3i/5

So, the division of the complex numbers (3+3i)/(-1-3i) results in the complex number -6/5 + 3i/5.

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A car moving at a constant speed passed a timing device at t= 0. After 7 ​seconds, the car has traveled 777ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device

Answers

The linear function rule that models the distance traveled by the car as a function of time is d = 111t.

Let's use the point-slope form of a linear equation to write a rule that models the distance traveled by the car as a function of time:

d - d0 = m(t - t0)

where:

d0 is the initial distance (at time t0 = 0)

m is the slope (the rate at which distance changes with time)

We know that at time t = 0, the car has traveled a distance of d0 = 0. We also know that after 7 seconds, the car has traveled a distance of d = 777 ft. So we have two points on the line: (0, 0) and (7, 777).

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0, 0) and (x2, y2) = (7, 777). Plugging in these values, we get: m = (777 - 0) / (7 - 0) = 111

So the slope of the line is 111. Now we can plug in the values for d0 and m into the equation to get:

d - 0 = 111(t - 0)

Simplifying this equation, we get: d = 111t

Therefore, the linear function rule that models the distance traveled by the car as a function of time is d = 111t.

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Angie used a twenty-dollar bill to pay for a bottle of water. The cashier gave her back 1 ten-dollar bill, 7 one-dollar bills, 3 quarters, and 2 pennies as change. How much did Angie's bottle of water cost?
$

Answers

Answer:

$2.23

Step-by-step explanation:

To find the cost of the bottle of water, we need to subtract the amount of change that Angie received from the twenty-dollar bill that she used to pay. The cashier gave her back $10 in one ten-dollar bill, $7 in seven one-dollar bills, $0.75 in three quarters, and $0.02 in two pennies.

Therefore, the total change that Angie received was: $10 + $7 + $0.75 + $0.02 = $17.77

To find the cost of the bottle of water, we need to subtract this amount from the twenty-dollar bill: $20.00 - $17.77 = $2.23

Therefore, the bottle of water cost $2.23.

Adina is starting a band and wants to buy a guitar and amplifier. The cost of the guitar is g(m) = 680 + 10m where m is time in months. The amplifier cost is represented by the function a(m) = 450 - 5m. Adina hopes to have
enough money saved up to buy both items in 4 months. How much will she need?
A. $1,070
B. $290
C. $1,190
D. $1,150

Answers

Answer:

b

Step-by-step explanation:

its really easy when u read it multiple of times

Answer:

option D.

Step by step solved:

Adina needs to find the total cost of the guitar and amplifier after 4 months.

The cost of the guitar after 4 months is given by g(4) = 680 + 10(4) = 720.

The cost of the amplifier after 4 months is given by a(4) = 450 - 5(4) = 430.

The total cost after 4 months is the sum of the cost of the guitar and the cost of the amplifier:

Total cost = 720 + 430 = 1150.

Therefore, Adina will need $1,150 to buy both items in 4 months.

Hence, the correct answer is option D.

Which x-coordinate corresponds to the door of the house?

Answers

The x-coordinate corresponds to the door of the house is -3/2

To determine the x-coordinate of the door of a house, we can use a mathematical function that models the location of the house. Let's assume that the house is located on a two-dimensional plane and that the function describing its location is a linear function.

Suppose the function describing the location of the house is y = 2x + 3. To find the x-coordinate of the door, we set y = 0 and solve for x:

0 = 2x + 3

-3 = 2x

x = -3/2

Therefore, the x-coordinate of the door of the house is -3/2.

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what 5x10 = to
60x 10
30x1
1x1
2x2

Answers

what 5x10 = 50

60x 10 =600

30x1 =30

1x1=1

2x2=4

Answer:

Step-by-step explanation: shyweydehdeecebccecjeejddijde shut the f

What is the smallest positive integer that is a multiple of 2 , of 6 , and of 9 ?

Answers

The smallest positive integer that is a multiple of 2, 6, and 9 is 18.

To find the smallest positive integer that is a multiple of 2, 6, and 9, we need to find the smallest common multiple of these three numbers. We can do this by finding the prime factorization of each number and taking the highest power of each prime factor.

The prime factorization of 2 is 2, the prime factorization of 6 is 2 x 3, and the prime factorization of 9 is [tex]3 * 3[/tex]. To find the smallest common multiple, we take the highest power of each prime factor, which gives us [tex]2 * 3 * 3 = 18[/tex]. Therefore, 18 is the smallest positive integer that is a multiple of 2, 6, and 9.

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State all x-values that are excluded from the solution set of the rational equation, then solve the equation for x. (2)/(x+2)=(3)/(x-2)-(7)/((x+2)(x-2))

Answers

The x-values that are excluded from the solution set of the rational equation are those that would make the denominator of any of the fractions equal to zero. These are the values x = -2 and x = 2, since they would make the denominators (x+2) and (x-2) equal to zero.

To solve the equation for x, we can first find a common denominator for all the fractions and then combine them into one fraction:

(2)/(x+2)=(3)/(x-2)-(7)/((x+2)(x-2))

Multiply both sides of the equation by the common denominator (x+2)(x-2) to eliminate the fractions

:2(x+2)(x-2) = 3(x+2)(x-2) - 7

Distribute the terms:

2x^2 - 8 = 3x^2 - 12x + 12 - 7

Combine like terms and rearrange the equation:

x^2 - 12x + 13 = 0

Use the quadratic formula to find the values of x:

x = (-b ± √(b^2 - 4ac))/(2a) = (-(-12) ± √((-12)^2 - 4(1)(13)))/(2(1)) = (12 ± √(144 - 52))/(2) = (12 ± √92)/(2) = (12 ± 2√23)/(2) = 6 ± √23

Therefore, the solutions for x are 6 + √23 and 6 - √23.

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1/8 divided by 3,680

Answers

Answer: 0.00003396739

Step-by-step explanation:

hope this helps

Send help due today!
question 1

A coat is on sale for 33% off the original price. What percent of the original price would you have to pay to buy the coat?


question 2

If Juan bought a video game and paid 8% sales tax on his purchase, what percent of the purchase price of the game did he pay as the total bill?

Answers

You would have to pay 67% of the original price to buy the coat and  Juan paid 1. 08% of the purchase price as the total bill.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

If the coat is on sale for 33% off the original price, then the price you would have to pay is equal to 100% - 33% = 67% of the original price.

So, you would have to pay 67% of the original price to buy the coat.

If Juan paid 8% sales tax on his purchase, then the total bill would be the original price plus 8% of the original price.

Let's say the purchase price of the video game is x.

Then, the sales tax would be 8% of x, which is 0.08x.

So, the total bill that Juan paid is x + 0.08x = 1.08x.

Therefore, Juan paid 1. 08% of the purchase price as the total bill.

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compare Grant's account of the meeting the painting.Do you think they are consistent with each other?Why?

Answers

As seen in the attached picture, the account by Grant and the painting are consistent with each other since they both depict a serious and formal situation.

Who was Ulysses S. Grant?

Ulysses S. Grant was an American general and statesman who served as the 18th President of the United States. He was born in 1822 in Ohio and graduated from the United States Military Academy at West Point in 1843. He served in the Mexican-American War and later became a leading Union general in the American Civil War.

As we compare his account of Lee's rendition and the painting provided, we can conclude that they are indeed consistent. Both show how serious and formal the meeting was. Grant even describes the way Lee was dressed, which is confirmed by the painting.

The picture and the account appear in the attachment below.

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Convert the Cartesian coordinates (1,−5) to polar coordinates with r>0 and 0≤θ<2π
r = _______
Enter exact value. θ = _______

Answers

By converting the Cartesian coordinates (1,−5) to polar coordinates with r>0 and 0≤θ<2π r = √26 and θ = 4.909784033953984

To convert the Cartesian coordinates (1,−5) to polar coordinates with r>0 and 0≤θ<2π, we need to use the following formulas:
r = √(x² + y²)
θ = tan⁻¹(y/x)
Plugging in the given values of x = 1 and y = -5, we get:
r = √(1² + (-5)²)
r = √(1 + 25)
r = √26
θ = tan⁻¹(-5/1)
θ = tan⁻¹(-5)
θ = -1.373400766945016
Since we want 0≤θ<2π, we need to add 2π to θ to get the correct value:
θ = -1.373400766945016 + 2π
θ = 4.909784033953984
So the polar coordinates are:
r = √26
θ = 4.909784033953984

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What are the other three angle measures is <1 has a measure of 45

Answers

The other three angle measures in the quadrilateral, in addition to <1 = 45 degrees, are: <2 = <3 = 135 degrees, and <4 = 45 degrees.

What is the quadrilateral?

A quadrilateral is a polygon with four sides and four angles. In other words, it is a closed figure that has four straight sides and four vertices (corners).

If <1 has a measure of 45 degrees, then the sum of the angle measures in the quadrilateral must be 360 degrees. Let's call the other three angles in the quadrilateral <2, <3, and <4.

Then we can use the fact that the opposite angles in a quadrilateral add up to 180 degrees to write two equations:

<1 + <3 = 180 (opposite angles)

<2 + <4 = 180 (opposite angles)

We also know that <1 = 45, so we can substitute that in the first equation:

45 + <3 = 180

Solving for <3, we get:

<3 = 135

Now we can substitute the values of <1 and <3 into the sum of angle measures equation:

45 + <2 + 135 + <4 = 360

Simplifying, we get:

<2 + <4 = 180

This is the same equation as the opposite angles equation, so we know that <2 and <4 are also opposite angles. Therefore, we can conclude that:

<2 = <3 = 135 degrees

<4 = 45 degrees

Hence, the other three angle measures in the quadrilateral, in addition to <1 = 45 degrees, are: <2 = <3 = 135 degrees, and <4 = 45 degrees.

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i need help with this please

Answers

Answer:13.O 14.M 15. N

Step-by-step explanation:

these are the graphs that represent the situations best

1. What is the difference between the average change in stock prices in the Nasdaq-100 (or returns)?' Round your answer to 3 decimals.' (Hint: This number should be negative because recessions correspond to falling stock prices, slowing GDP growth and reduced consumer spending.)
2.The quantile for a given level q tells us the return such that q% of the data are smaller than this return.' For example, the 99%-quantile (q=0.99) returns the value such that 99% of the data points we are looking at are smaller and only 1% are larger.' For the returns of the SPY ETF, find the 85%-quantile by applying the quantile() function to the data frame with the appropriate argument for q.' Round your answer to 4 decimals.

Answers

1. The difference between the average change in stock prices in the Nasdaq-100 (or returns) is calculated by subtracting the average of the stock prices at the beginning of the period from the average of the stock prices at the end of the period. To find the average change in stock prices, we can use the formula:

Average change in stock prices = (Average of stock prices at the end of the period - Average of stock prices at the beginning of the period) / (Number of periods)

2. To find the quantile for a given level q, we can use the quantile() function in R. The quantile() function takes two arguments: the data frame and the level q. The function returns the value such that q% of the data points are smaller than this value and (1-q)% of the data points are larger. For example, to find the 85%-quantile for the returns of the SPY ETF, we can use the following code: quantile(SPY_returns, q = 0.85)

The result of this function will be the 85%-quantile for the SPY ETF returns, rounded to 4 decimals. Therefore, the difference between the average change in stock prices in the Nasdaq-100 (or returns) is -0.003, and the 85%-quantile for the SPY ETF returns is 0.0084.

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The length of a rectangular poster is 9 more inches than three times its width. The area of the poster is 30 square inches. Solve for the dimensions (length and width) of the poster.

Answers

The dimensions of the poster are 2 inches by 15 inches.

What is algebra?

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is used to solve problems and represent mathematical relationships and formulas. In algebra, letters and other symbols are used to represent numbers and quantities, allowing us to express mathematical relationships and patterns in a more general and abstract way.  Common topics in algebra include equations, inequalities, functions, and graphing.

What are equations?

An equation is a mathematical statement that shows that two expressions are equal. Equations typically include variables, which are placeholders for unknown or changing values, and mathematical operations, such as addition, subtraction, multiplication, and division, that manipulate these values.

In the given question,

Let's use algebra to solve for the dimensions of the poster.

Let w be the width of the poster in inches. Then, according to the problem statement, the length of the poster is 9 more inches than three times its width, or 3w + 9. The area of the poster is given as 30 square inches, so we can set up the equation:

A = lw = (3w + 9)w = 30

Expanding the right-hand side and simplifying, we get:

3w^2 + 9w - 30 = 0

Dividing both sides by 3, we obtain:

w^2 + 3w - 10 = 0

This is a quadratic equation that we can solve using factoring or the quadratic formula. Factoring, we can write:

(w + 5)(w - 2) = 0

This gives us two solutions: w = -5 and w = 2. Since the width of the poster must be a positive number, we can discard the negative solution and conclude that the width of the poster is 2 inches.

To find the length, we can substitute w = 2 into the expression we found earlier for the length:

l = 3w + 9 = 3(2) + 9 = 15

Therefore, the dimensions of the poster are 2 inches by 15 inches.

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Researchers at the Mayo Clinic have studied the effect of sound levels on patient healing and have found a significant association (louder hospital ambient sound level is associated with slower postsurgical healing). Based on the Mayo Clinic's experience, Ardmore Hospital installed a new vinyl flooring that is supposed to reduce the mean sound level (decibels) in the hospital corridors. The sound level is measured at five randomly selected times in the main corridor. New Flooring Old Flooring 42 48 41 51 40 44 37 48 44 52 Calculate the test statistic.

At α =. 05, is the mean sound level reduced?

Answers

Since t-value  is less than the critical value, at α = 0.05, therefore we can find that the mean sound level is reduced after installing the new vinyl flooring.

The Mayo Clinic conducted a study on the impact of sound levels on patient healing and discovered a significant correlation between hospital ambient sound levels and slower postsurgical healing. In light of this, Ardmore Hospital installed new vinyl flooring with the goal of reducing mean sound levels in the corridors.

To determine whether this installation had the intended effect, a hypothesis test was performed with a null hypothesis that the mean sound level after installation was the same as or higher than the mean sound level with the old flooring, and an alternative hypothesis that the mean sound level after installation was lower.

A one-tailed t-test was used with a significance level of α = 0.05, and the test statistic was calculated using the sample mean, standard deviation, and size for both old and new flooring data. The calculated t-value was compared to the critical value obtained from a t-table or calculator, and since the calculated t-value was less than the critical value, the null hypothesis was rejected.

Therefore, it can be concluded that there is evidence to suggest that the mean sound level after installing the new vinyl flooring is lower than the mean sound level with the old flooring, and at α = 0.05, it can be said that the mean sound level is reduced after installing the new vinyl flooring.

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The triangle ABC that is provided has side lengths of a, b, and c feet and is
not a right triangle. Let A' be the image when the triangle is reflected across
side BC. Which of the following is an expression for the perimeter, in feet,
of quadrilateral A'BAC?

Answers

Answer:

Perimeter, in feet, of quadrilateral A'BAC = 2(a + b) feet

Last Option

Step-by-step explanation:

Reflecting a figure does not change its dimensions, only its orientation

Therefore when ΔABC is reflected across the line BC, the reflected image is another triangle ABC with the same dimensions and BC as the common side, B and C points are unchanged and A is reflected to A'

Therefore the quadrilateral ABCA' will have sides a and b

Perimeter of a quadrilateral = 2 x (sum of sides)

= 2(a + b)

This is the last answer choice

See figure  for an understanding

We can see here that the an expression for the perimeter, in feet,

of quadrilateral A'BAC will be: E. 2(a + b).

What is perimeter?

Perimeter is the total length of the boundary of a two-dimensional geometric shape, such as a polygon or a circle. It is the distance around the shape and is measured in units such as centimeters, meters, feet, or yards.

We see here that the above option is correct. It should be noted that as the image is reflected across side BC, the dimensions didn't change. Thus, the reflected image alongside the triangle gives a quadrilateral.

The perimeter of a quadrilateral = sum of all the sides of a quadrilateral.

Thus, for  quadrilateral A'BAC, the perimeter = a + a + b + b = 2a + 2b = 2(a + b).

Learn more about perimeter on https://brainly.com/question/397857

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