ABC Is Dilated By A Factor Of 2 To Produce ABC' Which Statement Is Not True (2024)

Mathematics College

Answers

Answer 1

The false statement considering the dilation is given as follows:

d) A'B' = 68 units.

What is a dilation?

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

The scale factor for the dilation in this problem is given as follows:

k = 2.

The length of AB is given as follows:

AB = 34.

Hence the length of A'B' is given as follows:

A'B' = 2 x 34 = 68 units.

Missing Information

The triangle and the options are given by the image presented at the end of the answer.

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ABC Is Dilated By A Factor Of 2 To Produce ABC' Which Statement Is Not True (1)

Related Questions

Suppose your net income every month is $3,750. In the 20-50-30 Model, how much of
your net income would be in each category?
Answer in three complete sentences to explain how much of your income is in each category.

Answers

You have approximately $1,125 to spend on items that you want but may not actually need.

According to the 20-50-30 Model,

20% of your net income should be set aside for debt repayment and savings.

As a result, you would allocate $750 of your $3,750 net income to debt repayment and retirement savings.

In the meantime, you would set aside $1,875 or 50% of your net income for necessities like housing, food, transportation, and utilities.

These are regarded as your essentials or the monthly expenses that are non-negotiable.

The final 30%, or $1,125, would be set aside for your wishes or discretionary costs like entertainment, vacation, and other luxuries.

Thus, you have approximately $1,125 to spend on items that you want but may not actually need.

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11.510 repeating as a fraction.

Answers

Answer: 11 51/100

Step-by-step explanation:

turn it into a fraction

can someone help me!!

Answers

Answer: Therefore, the equivalent expression is -2z + 2, which is option (c).

Step-by-step explanation:

Simplifying the expression -3z - (-z - 2) by removing the brackets and distributing the negative sign inside the brackets, we get:

-3z + z + 2

Simplifying further, we can combine the terms with z:

-2z + 2

the width of a rectangle is 5 inches , and the diagonal length of the rectangle is 25 inches.which measurement is closest to the length of this rectangle in inches ?

Answers

Step-by-step explanation:

We need to use Pythagoras Theorem for this. You also didn't add the answed options for me to see which one is the closest but I guess you can compare it yourself with the final answer.

Length² = 25²-5² = 625-25 = 600

Length = root 600 = 10 root 6 = 24.4948 = 24.5

Explained in photo. Thank you.

Answers

Using monthly payment formula and the rate given, the amount required for investment is $72,704 annually.

What is monthly payment?

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.

M = pr / (1 -(1 + r)⁻ⁿ)

Where:

P = the principal amount (the original amount borrowed)r = the interest rate per month (APY divided by 12, then divided by 100)n = the number of months to pay off the loan

Substituting the values into the formula;

1,000,000 = p * (0.075) / (1 - (1 + 0.075)⁻³⁵

Solving for p;

p = 72,704

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The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table. Hours after 8 am 1 3 4 6 9 Number of Customers 2 15 18 13 0 Which statement best describes the data?

Answers

The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

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Given vector u equals 15 times open angled bracket cos 45 degrees comma sin 45 degrees close angle bracket comma what are the magnitude and direction of −5u?

75; 225°

75; 135°

−75; −135°

−75; 45°

Answers

The magnitude of −5u is 75 and its direction is 225°.

75; 225°

How to find the magnitude and direction

The vector −5u is = −5 x u

plugging in the values

= −5(15 cos 45°, 15 sin 45°)

= −75(cos 45°, sin 45°)

The magnitude of −5u

|−5u| = |-75(cos 45°, sin 45°)| = 75

The direction of −5u is given by the direction of u in the opposite direction

θ = arc tan (y/x) = arc tan (sin 45° / cos 45°) = 45° + 180° = 225°

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What are the missing numbers?
14:8:14 = _ : _ : 9

Answers

The missing numbers that complete the ratio 14:8:14 = _ : _ : 9 are 7 and 4.

To find the missing numbers in the ratio 14:8:14 = _ : _ : 9, we can use the concept of proportionality.

First, we need to determine the common ratio between the numbers. To do this, we divide each number in the ratio by the smallest number, which is 8:

14 ÷ 8 = 1.75

8 ÷ 8 = 1

14 ÷ 8 = 1.75

Now, we can write the ratio in terms of the common ratio:

1.75 : 1 : 1.75

we multiply each part of the ratio by a common factor.

In this case, we can multiply each part by 4 to obtain whole numbers:

1.75 × 4 = 7

1 × 4 = 4

1.75 × 4 = 7

Therefore, the missing numbers that complete the ratio 14:8:14 = _ : _ : 9 are 7 and 4.

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What is the meaning of "all left cosets of H have order |H|" ?

Answers

If we say that "all left cosets of H have order |H|," it means that every left coset of H has the same number of elements as H, which is the order of the subgroup H.

How to explain the term

In group theory, given a subgroup H of a group G, a left coset of H is a subset of G obtained by multiplying every element of H by a fixed element g of G on the left.

The order of a subgroup H is defined as the number of elements in H.

This property of left cosets is important because it allows us to partition the group G into a disjoint union of left cosets of H.

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Need help!! See image!

Answers

The population mean is 4.25, population variance is 4.6875 and standard deviation is 2.166.

How to calculate the value

In order too find the population mean and variance, we can use the formula:

μ = ∑(x * P(x))

= 0*(3/16) + 4*(15/40) + 6*(7/16)

= 4.25

The population variance will be:

σ² = ∑[(x - μ)² * P(x)]

= (0 - 4.25)²*(3/16) + (4 - 4.25)²*(15/40) + (6 - 4.25)²*(7/16)

= 4.6875

The population standard deviation:

σ = √(σ²) = √(4.6875) = 2.166

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Which of the following is not a characteristic of both experiments and
observational studies?
A. The researcher selects a sample of the population to study.
B. Data are collected about a population.
C. The data collected might be studied for patterns.
D. It can be used to identify cause-and-effect relationships.

Answers

Answer:

D. It can be used to identify cause-and-effect relationships.

A student was asked to find the volume of the solid where the inner cylinder is hollow. incorrectly said the volume is 954.56in.3 Find the volume of the solid. Use 3.14 for . What mistake might the student have​ made?

Answers

Answer:

Step-by-step explanation:

Why might young adults,in particular,value credit in case of emergency

Answers

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Which of the following vectors is equal to one half times vector v question mark

r
s
t
u

Answers

The vector that is equal to one-half times vector v is vector u

What is a Vector?

A vector is a numerical entity that denotes a measure possessing both size and orientation. An organized sequence of numerical values or coordinates in a designated coordinate system can serve as its representation.

Vectors have multiple applications across diverse domains, including physics, engineering, and computer science.

In order to find which vector is 3/4 of the vector asked, look at the length of the horizontal and vertical that forms the vector.

then, multiply both lengths by 3/4

[tex]4.\frac{3}{4} =3\\8.\frac{3}{4} = 6[/tex]

find the vector formed by these lengths

The correct answer is u.

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A bicycle tire has a diameter of 20 in. How many feet does the bicycle travel when the wheel makes 22 revolutions?

Answers

Answer:

the bicycle travels approximately 115.19 feet when the wheel makes 22 revolutions.

Step-by-step explanation:

The circumference of the bicycle wheel can be found using the formula C = πd, where d is the diameter of the wheel.

C = πd = π(20 in) ≈ 62.83 in

To find the distance traveled in 22 revolutions, we need to multiply the circumference by the number of revolutions:

Distance = 22 × C ≈ 22 × 62.83 in ≈ 1382.26 in

To convert this to feet, we divide by 12 (since there are 12 inches in a foot):

Distance ≈ 1382.26 in ÷ 12 ≈ 115.19 ft

Therefore, the bicycle travels approximately 115.19 feet when the wheel makes 22 revolutions.

Two baseball teams have a push-up contest. There are 24 players on Team A and 23 players on Team B. The team captains display their results in the dot plots shown below. They realize that both teams completed a total of 778 push-ups.

Answers

Let me put it to you this way, buttercup: Team A might have more players, but that doesn't mean they're better at push-ups. Clearly, Team B is the superior team here, and their dot plot proves it. They might not have as many players, but they're leaner, meaner, and more efficient at pumping out push-ups. And that's all that really matters, isn't it?

As for the total number of push-ups completed, who really cares? It's not like anyone's keeping score or anything. Oh, wait...they are? Well, then I guess it's good that they managed to hit their target of 778 push-ups. But I wouldn't get too excited about it if I were you. It's not like they just cured cancer or anything.

Does the parabola for the equation open UP or DOWN?
y = - 4x²- 7x + 3
O Up
O Down

Answers

Answer:

Down

Step-by-step explanation:

A positive x² value means the parabola will open up. However, a negative value of x² results it to open down, such as -4x².

Answer:

b) Down

Step-by-step explanation:

The graph of a quadratic equation in the form y = ax² + bx + c is a parabola.

The leading coefficient of a quadratic equation is the coefficient of the x² term, and is called the leading coefficient because it has the greatest power of x in the equation.

If the leading coefficient of a quadratic equation is positive, the parabola opens upwards.

If the leading coefficient of a quadratic equation is negative, the parabola opens downwards.

Given equation:

y = - 4x²- 7x + 3

As the leading coefficient of the given quadratic equation is negative, the parabola opens downwards.

Bob buys eggs and potatoes at a store he pays $25.92 total he pays $2.57 for the eggs. He buys five bags of potatoes that each cost the same amount which equation can be used to determine the cost of X of each bag of potatoes.

Answers

25.92= 2.57+5x
therefore the answer is $4.67 for each bag of potatoes

The photo is burry but help me answer this question I don’t get it

Answers

The perimeter of rectangle M'N'O'P' is equal to 54 cm.

What is dilation?

In Geometry, a dilation is a type of transformation that typically changes the size (dimensions or side lengths) of a geometric shape, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.

Since the rectangles are similar, we have the following:

[tex]\frac{Area\;of\;preimage}{Area\;of\;image} =\frac{(Perimeter\;of\;preimage)^2}{(Perimeter\;of\;image)^2}[/tex]

14/126 = 18²/(Perimeter of rectangle M'N'O'P')²

14/126 = 324/(Perimeter of rectangle M'N'O'P')²

(Perimeter of rectangle M'N'O'P')² = (126 × 324)/14

Perimeter of rectangle M'N'O'P' = √2916

Perimeter of rectangle M'N'O'P' = 54 cm.

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What is a leader line?

A.
it is an arrow-tipped line used to highlight a specific part of a drawing
B.
it is a line helps to indicate the width or size of an object
C.
it is a line that shows the length of the dimension
D.
it is an arrow-tipped line used to connect a specific part of a drawing with its corresponding note
E.
it is the thickest line in the drawing showing the outline of the object

Answers

The correct answer is D.

A leader line is an arrow-tipped line used to connect a specific part of a drawing with its corresponding note. It is typically used in technical drawings or engineering drawings to provide additional information or call attention to a specific feature of an object. The leader line is drawn from the feature being referenced to the note or label describing it, with an arrowhead pointing to the specific feature being identified.

In the graph above, which vertical line (V) and horizontal line (H) can be used to graph point C?

A) V: x = –3; H: y = 3

B) V: x = –3; H: y = –3

C) V: x = 3; H: y = 3

D) V: y = –3; H: x = –3

Answers

The vertical line (V) and horizontal line (H) to graph point C are V = -3 and H = -3

How to determine the vertical line (V) and horizontal line (H) to graph point C?

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the location of point C to be

C = (-3, -3)

This can be expressed as

(x, y) = (-3, -3)

So, we have

x = -3 and y = -3

In terms of vertical and horizontal lines, we have

V = -3 and H = -3

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What is the slope of the line shown?

Answers

The slope of the line shown is -2.

Option D is the correct answer.

We have,

Take two coordinates from the graph.

(0, 7) and (2, 3)

Now,

Slope.

= (3 - 7) / (2 - 0)

= -4/2

= -2

Thus,

The slope of the line shown is -4/2.

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Warm-Up
Use the distributive property to match equivalent expressions.
-7(-4+x)
7(-4-x)
-7(4-x)
Using the Distributive Property
7(4+x)

-28-7x
28+7x
28-7x
-28 +7x

Answers

Answer:

-7(-4+x) = 28-7x

7(-4-x) = -28-7x

-7(4-x) = -28+7x

7(4+x) = 28+4x

The length of a football pitch is 90 metres, correct to the nearest metre. Complete the error interval for the length of the football pitch.​

Answers

The length of a football pitch is 90 metres, correct to the nearest metre. Complete the error interval for the length of the football pitch is 0.5 meters.

There are different types of errors in mathematics. These include error intervals, systematic errors, rounding errors, and random errors. Error intervals are used to express the minimum and maximum possible values for a given measurement, or range of measurements.

According to the given question, the length of a football pitch is 90 metres, correct to the nearest metre. The nearest meter means that the length is within half a meter, both above and below the measurement, as 0.5m is half a meter. So, we can say that the error interval for the length of the football pitch is 0.5 meters.

Note that this means that the actual length of the football pitch could be anywhere from 89.5 meters to 90.5 meters, inclusive.

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In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.

Answers

The value of secant XY is 37.5 units.

How to find the value of secant XY?

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

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Write the equation of the line passes through the points (5,3) and (7,7)

Answers

Answer:

y=2x-7

Step-by-step explanation:

here's how to find it:

Step 1: label the number x1, y1, x2, y2

5=x1

3=y1

7=x2

7=x2

Step 2: Put the numbers into y2-y1/x2-x1

7-3/7-5=4/2=2

Step 3: Plug it in!!!!

Plug in a value for y (which can be 3 or 7. i picked 3), put in 2 for the slope, a value for x, and b is unknown. we have to do this because we have to put it into slope -intercept form, which is y=mx+b

Step 4: Solve for b

-7=b

Step 5: Put it all together again

y=2x-7

hope you learned something today. have a great day and thx for your inquiry :)

(for more practice, check out Khan Academy: Write slope using two points)

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

Answer:

see attached

Step-by-step explanation:

You want the sequence of steps to solve the system of equations by substitution.

-7x -2y = -13x -2y = 11

Substitution

To solve the system by substitution, the first step is writing an expression for one of the variables. Here, the x-variable has a coefficient of 1 in the second equation, so that is a good place to start for getting an expression for x.

The remaining steps are shown in the attachment.

__

Additional comment

It is also convenient to subtract the first equation from the second to solve this system by "elimination".

(x -2y) -(-7x -2y) = (11) -(-13) ⇒ 8x = 24 ⇒ x = 3

Then the second equation can be used to find y:

3 -2y = 11 ⇒ -2y = 8 ⇒ y = -4

You deposit $150 in an investment account that earns 6.1% annual interest compounded annually.
Write a function that represents the balancey(in dollars) of the investment account aftertyears.

Question 2

What is the balance of the account after 8 years?​

Answers

Based on the above, the balance of the account after 8 years is about $240.88..

What is the investment?

The function that stand for the balance y (in dollars) of the investment account after t years with an initial deposit of $150 and an annual interest rate of 6.1% compounded annually is one that is written as:

A = P(1 + r/n)^(nt)

where:

A = the balance after t years

P = the initial principal (deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

So have:

P = $150

r = 0.061 (6.1% as a decimal)

n = 1 (compounded annually)

t = 8

So one can substitute these values into the equation:

A = $150(1 + 0.061/1)^(1*8)

= $150(1.061)⁸

= $240.88 (rounded to the nearest cent)

Therefore, the balance of the account after 8 years is $240.88.

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The volume of this cube is 8 cubic centimeters. What is the vaule of u?

Answers

The calculated value of u in the cube is 2 cm

Calculating the value of u in the cube

From the question, we have the following parameters that can be used in our computation:

Volume = 8 cubic cm

The volume of a cube is calculated as

Volume = The cube of the side length

In this case,

the side length = u

Substitute the known values in the above equation, so, we have the following representation

The cube of u = 8

Take the cube root of both sides

u = 2

Hence, the value of u in the cube is 2 cm

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use the graph to find the local mininimum and the local maximum for the given function.

Answers

can u give me a picture maby i can help if thats okay with you

ABC Is Dilated By A Factor Of 2 To Produce ABC' Which Statement Is Not True (2024)

FAQs

When ABC is dilated by a scale factor of 2? ›

Dilation Scale Factor 2:

If the scale factor is 2, then every coordinate point of the original triangle is multiplied by the scale factor 2. Therefore, the dilated triangle will be A'B'C' and the coordinate points obtained are A'(0, 4), B'(4, 2), C'(-4, -4).

Which statement is true of the image if ABC is dilated by a scale factor of 3? ›

Answer and Explanation:

Hence, we can say that the statement that is B ′ C ′ = 3 B C is true.

Which of the following is a true statement about a dilation? ›

Expert-Verified Answer

A dilation will always produce similar figures. Therefore, option C is the correct answer.

What scale factor was used to dilate ABC? ›

Dilation Graph

Triangle ABC undergoes an enlargement by a scale factor of 2 about the origin. The original figure is shown. Triangle ABC on the coordinate plane. Each coordinate is then multiplied by the scale factor of 2 to find the new coordinates.

What happens when you dilate by a scale factor of 2? ›

A scale factor greater than one results in the new object being larger than the original. So, a scale factor of 2.0 would result in the new object being twice the size of the original. Let's try a dilation on a simple polygon – a rectangle: We'll use a scale factor of 0.4, which should result in a smaller rectangle.

What does enlarged by a scale factor of 2 mean? ›

The size of an enlargement/reduction is described by its scale factor. For example, a scale factor. of 2 means that the new shape is twice the size of the original.

What is true about dilation? ›

Dilated figures will always be similar figures. Similar figures have the same shape, angles with the same measures, and the lengths of corresponding sides have equal ratios. The ratio is the same as the scale factor of the dilation.

What are the true facts about dilations? ›

Facts about Dilation in Geometry

It determines the magnitude of the size change. Dilation is a type of similarity transformation, which means that the shape of the figure remains the same, but its size changes. Dilation is not limited to two-dimensional figures. It can also be applied to three-dimensional objects.

What is the dilation rule? ›

A notation rule has the following form Dk(x,y)=(kx,ky) and tells you that the preimage has undergone a. dilation about the origin by scale factor k. If k is greater than one, the dilation image will be larger than the. preimage. If k is between 0 and 1, the dilation image will be smaller than the preimage.

What is a dilated scale factor? ›

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.

What rule describes a dilation with a scale factor of 1/3 and the center of dilation at the origin? ›

A dilation of the figure is done with a scale factor of 1/3. The figure or point become smaller with this scale factor. Hence, the rule which describes the dilation with a scale factor of 1/3 and the center of dilation at the origin is (x,y)-->(x/3,y/3).

What if the triangle is dilated with a scale factor of 2? ›

For a dilation with a scale factor of 2 from the origin (0,0), each point's new coordinates would be twice the distance from the origin. So, if triangle A's vertices are (x1, y1), (x2, y2), and (x3, y3), after dilation, the new vertices would be (2x1, 2y1), (2x2, 2y2), and (2x3, 2y3), respectively.

What if the scale factor is 2? ›

The scale factor of 2 means the new shape obtained after scaling the original shape is twice of the shape of the original shape.

What is a dilation with a scale factor of 2 centered at the origin? ›

The dilation (centered at O with a scale factor of 2) of ΔABC = ΔA'B'C' making ΔABC ∼ ΔA'B'C' . if you consider ΔABC to be the image. Dilations create similar figures! In this dilation, of scale factor 2 mapping ΔABC to ΔA'B'C', the distances from O to the vertices of ΔA'B'C' are twice the distances from O to ΔABC.

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Name: Foster Heidenreich CPA

Birthday: 1995-01-14

Address: 55021 Usha Garden, North Larisa, DE 19209

Phone: +6812240846623

Job: Corporate Healthcare Strategist

Hobby: Singing, Listening to music, Rafting, LARPing, Gardening, Quilting, Rappelling

Introduction: My name is Foster Heidenreich CPA, I am a delightful, quaint, glorious, quaint, faithful, enchanting, fine person who loves writing and wants to share my knowledge and understanding with you.