Quadrilateral EFGH was dilated with the origin as the center of dilation to create
quadrilateral E' F'G'H'. The quadrilateral was dilated using a scale factor of 2.5.
The lengths of the sides of quadrilateral EFGH are given.
What is the length of side F'G'?

Quadrilateral EFGH Was Dilated With The Origin As The Center Of Dilation To Createquadrilateral E' F'G'H'.

Answers

Answer 1

Answer:

The length of side F'G' is 17.5 units

Step-by-step explanation:

Given

Quadrilateral, EFGH.

EF = 2 units

EH = 6 units

GH = 5.5 units

FG = 7 units

Scale Factor = 2.5

Required

Length of F'G'

To dilate a shape means to increase or reduce the size of that shape using a given scale factor.

The length of the new shape is calculated by multiplying the scale factor by the length of the old shape.

The question requires that we calculate F'G'.

Here, F'G' is formed as a result of the dilation of side FG.

From the formula stated above.

F'G' = Scale Factor * FG

From the given diagram, FG = 7 units

And scale factor = 2.5

So, F'G' = 2.5 * 7 units

F'G' = 17.5 units

Hence, the length of side F'G' is 17.5 units


Related Questions

Which of these probability values fit the tree diagram?
(Tree Diagram picture included)

Answers

Answer:

your awnser would be be

Step-by-step explanation:

it would be b because i took this test

Passengers of flyaway airlines can purchase tickets for either business class or economy class. On one particular flight there were 154 passengers. Let x be the number of business class passengers and y be the number of economy class passengers on this flight.

Use the information above to write down an equation in x and y.

On this flight the cost of a ticket for each business class passenger was 320 euros and the cost of a ticket for each economy class passenger was 85 euros. The total amount that Flyaway Airlines received for these tickets was 14970 euros.

Use this information about the cost of the tickets to write down a second equation in x and y.

Find the value of x and the value of y.

The airlines finance officer write down the total amount received by the airline for these tickets as 14270 euros.

Find the percentage error.

Answers

Answer:

x = 8

y = 146

Error = 4.86%

Step-by-step explanation:

Number of business class passenger = x

and the economy class passenger = y

Total number of passengers = 154

x + y = 154 ------(1)

Cost of business class tickets and economy class tickets are €320 and €85 respectively.

Total amount received by airlines is €14970.

320x + 85y = 14970

64x + 17y = 2994 --------(2)

Multiply equation (1) by 17 and subtract from equation (2)

(64x + 17y) - (17x + 17y) = 2994 - 2618

47x = 376

x = 8

From equation (1),

8 + y = 154

y = 154 - 8

y = 146

Airline officer wrote down the amount received as €14270

Then difference from the actual amount received = 14970 - 14270

                                                                                   = €700

% Error =  [tex]\frac{\text{Difference in amount}}{\text{Actual amount}}\times 100[/tex]

            = [tex]\frac{700}{14970}\times 100[/tex]

            = 4.676

            ≈ 4.68%

Therefore, x = 8 and y = 146

             and % error = 4.68%

What is the measure of Angle X W Y?
A. 16 degrees
B. 74 degrees
C. 106 degrees
D. 116 degrees

Answers

Answer:

The answer is 106

Step-by-step explanation:

for every triangle's measurement adds up to 180 degrees so if you take 74 degrees and subtract it with 180 you would get 106 degrees.

HOPE THIS HELPS

The measure of angle of triangle XWY is 106°.

What is triangle?

A triangle is "closed, 3-dimensional shape with 3 - sides, 3 - edges and 3- angles".

According to the question,

The triangle has an angle is 74°.

Sum of angle of triangle is 180°

Measure of an angle XWY  = 180 -74

=106°.

Hence, the measure of angle of triangle XWY is 106°.

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Write the expression for when you translate the graph of y =|3x| − 5 one unit to the right.

Answers

Answer:

The answer is |3x-3|-5

I have RSM too it’s irritating

Answer:

y=|3x-3|-5

Step-by-step explanation:

y=|3x-3|-5

John’s age in 5 years time will be the same as Jack’s age is now. In two years, Jack will be twice as old as John. How old are they now?

Answers

Answer:

john 2 1/2 years old jack is 7

in 5 years he will be 7 like jack is now

in two years jack is 9 and john is 4.5

Step-by-step explanation:

You could also say john is 3 and jack 8 in 5 years he is 8 like jack

and in 2 years he is 5 and jack is 10 which is twice the age.

it doesn't work for other ages.

PLEASE HELP WITH 7TH GRADEE MATH!!!!

Answers

Answer:

D

Step-by-step explanation:

On the graph, the first action you see is a straight line going up. The key word you look for in the word explanations are "increase" and "constant rate". Then, the 2nd action you see is a straight line not going up or down, just staying on the same level. This could be called "remaining the same" or stopping/resting. Then, you see a straight line going down. You look for "decrease" at a "constant rate." D matches all of those.

What is the perimeter of the polygon?
12 cm
4 cm
5 cm
5 cm
6 cm

Answers

Answer:

32 cm

Step-by-step explanation:

Add 12+5+5+4+6 to get the perimeter.

Does the function f(x) = x^3-4x^2+2x-6/x-3 have a slant asymptote? If so, find an equation of the slant asymptote. If not, explain

Answers

Answer:

No slant asymptote.

Step-by-step explanation:

No it hasn't .

If we do the division we find the quotient is a trinomial in x^2 so not a straight line, so there is no slant asymptote.

The one asymptote is the vertical line x = 3, because when x = 3 the denominator becomes 0.

Final answer:

To find the slant asymptote for the given function f(x), perform long division of the numerator by the denominator. The result is a quadratic function, which is the equation of the slant asymptote, specifically y = x^2 - x - 3.

Explanation:

The function f(x) = (x^3 - 4x^2 + 2x - 6)/(x - 3) does indeed have a slant asymptote, since the degree of the numerator is exactly one more than the degree of the denominator. To find the equation of the slant asymptote, you may perform polynomial long division or synthetic division. You would divide x^3 - 4x^2 + 2x - 6 by x - 3 to obtain the quotient which will be the equation of the slant asymptote.

When you do that, you'll find that the quotient is x^2 - x - 3. Since there's no remainder, or the remainder is of lesser degree than the denominator, the function approaches the line y = x^2 - x - 3 as x approaches infinity or negative infinity. This quadratic function is the slant asymptote for f(x).

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School District of Pl_
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CompassLearning
Meet - wwe gore sip
Surface area of Square and Triangular Pyramids
Due 05/08/20 11:59pm
Use the figure to answer exercises 6-7.
12 ft
7 ft
6. Dennis drew a square pyramid and its net to represent a fort. Complete the net by filling in the
missing measure. Choose the correct answer below.
A
C.
D.
a
75ft
12ft
3.56
Cck to select your answers)
Rew
progress
& Back
Next

Answers

Answer:

B

Step-by-step explanation:

C...:))))HOPE U LIKE IT

The ratio in Mrs. Jones class was 10 boys to 13 girls. If the school has 700 students, how many boys attend the school?

Answers

Answer:

304

Step-by-step explanation:

total students of Mr. Jones' class = 10 + 13 = 23

boys who attend the school = (700 / 23) x 10 = approximately 304 boys

In the diagram above, O is the centre of circle, PAQis the tangent to the circle at A, AD is parallel to OC and ∠PAD = 28°. Find,
(i) ∠ABC
(ii) ∠OAC
(iii) ∠OCD​

Answers

The answer is attached.

Complete the following statement.

-0.3 is graphed to the______ of 0.

Right
Left

Answers

it is graphed to the LEFT of the graph

Answer:

left

Step-by-step explanation:

because -0.3 is a negative number, it will be on the left side of the x axis.

What is the domain of the function on the graph?

all real numbers

all real numbers greater than or equal to-2

all real numbers greater than or equal to -5

o all real numbers greater than or equal to 0

Answers

A. All real numbers

The function continues

The domain of a function is the set of input values where function defines thus the domain will be all real numbers so option (A) is correct.

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

As per the given graph,

The function is continuous at every interval of x so the domain will be negative infinity to positive infinite or all real numbers.

Hence "The domain of a function is the set of input values where function defines thus the domain will be all real numbers".

For more details about the range and domain of the function,

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James earned a total of 18$ by selling 9 cups of lemonade.How many cups of lemonade does james need to sell in all to earn $26
Choices:
15
13
12
14

Answers

13 cups of lemonade. Good luck

Answer:

The correct answer is 13

Step-by-step explanation:

What is the best advice to prevent identity theft?

Answers

Final answer:

Preventing identity theft involves securing personal items like credit cards and wallets, using strong passwords, monitoring credit history, and being cautious when sharing personal information, especially during job searches or online interactions.

Explanation:

Best Practices to Prevent Identity Theft

Identity theft, or 'True-name Fraud,' is a significant threat where criminals use stolen personal information to commit fraud. Protecting oneself from identity theft involves a number of crucial steps:

Always safeguard your credit and debit cards from unauthorized access.Secure your mailbox to prevent theft of mail which may contain sensitive information.Keep a vigilant eye on your wallet, which holds many personal identifiers and cards.Create strong passwords and PINs that defy easy guesses, incorporating a mix of letters, numbers, and symbols.Install reputable anti-virus software on your computer to guard against malware.Inform your bank promptly when you change your address or phone number to avoid misdirected sensitive communication.Be reticent in sharing personal information; always inquire why it's necessary and how it will be protected.Monitor your credit history regularly for any sign of unusual activity.Be conscientious when job searching - only disclose personal information to legitimate companies and be wary of too-good-to-be-true job offers.

A flexible wire is bent into a semicircular arc. ​The length of AB is 18 meters. ​ ​Find the length of the wire. Use 3.14 as an approximation for π .

Answers

Answer: 28.26 meters

Step-by-step explanation:

Hi, to answer this question we have to find the perimeter of the semicircle.

P = (2 π r ) /2 (perimeter of a circle divided by 2)

The length of AB is the diameter of the circle (18 meters)

Since

Diameter (d) = 2 radius (r)

Replacing with the value given:

18 =2r

18/2=r

9 =r

Back on the perimeter formula

P = (2 π r ) /2

Replacing with the values given

P = (2 x 3.14 x 9) /2

P = 28.26 meters

Answer:

he's right it is 28.26

Step-by-step explanation:

I need help plzz help me will give brainliest!!!

Answers

Answer:

-5/6* -3/1 = A and D

Step-by-step explanation:

When you divide fractions, it's the same as multiplying a fraction and the second fractions reciprocal together.

So:

-5/6 divided by -1/3=

-5/6* -3

Which is congruent to 5/6 divided by 1/3

Answer:

A. [tex] ( - \frac{5}{6} ).( - 3) [/tex]

D. [tex] ( \frac{5}{6} ) \div (\frac{1}{3}) [/tex]

Step-by-step explanation:

[tex] = > \frac{ - \frac{5}{6} }{ - \frac{1}{3} } \\ \\ = > ( - \frac{5}{6} ) \div ( - \frac{1}{3} ) \\ \\ = > ( - \frac{5}{6} ) \times ( - 3) \\ \\ = > ( - \frac{5}{6} ).( - 3)\\AND \\ = > ( \frac{5}{6} ) \div (\frac{1}{3}) [/tex]

What are the leading coefficient, constant term and degree, if any, of the algebraic expression 7^x + 2x + 1?
a.
leading coefficient: 2; constant term: -1; degree: 2
c.
leading coefficient: 2; constant term: 1; degree: -2
b.
leading coefficient: -2; constant term: 1; degree: 2
d.
none, expression is not a polynomial


Please select the best answer from the choices provided

A
B
C
D

Answers

the answer is c sorry if im wromg

Answer:

d.  none, expression is not a polynomial

Step-by-step explanation:

right on edg. :)

I'm confused. Can someone help?

Answers

a.

The polynomial w^2+18w+84 cannot be factored

The perfect square trinomial is w^2+18w + 81

----------

The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.

w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9

================================================

b.

The polynomial y^2-10y+23 cannot be factored

The perfect square trinomial is y^2-10y + 25

---------

Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.

If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)

15f) Determine the line of symmetry. y = x2+16x+64

Answers

The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation of the parabola is given below.

y = x² + 16x + 64

Convert the standard equation into a vertex form. Then we have

y = x² + 16x + 64

y = (x + 8)²

We know that the line of symmetry passes through the vertex of the parabola. Then the equation of the line of symmetry is given as,

x + 8 = 0

The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.

More about the equation of the parabola link is given below.

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The current dimensions of Mr. Meyer's garden
are shown in the model.
Mr. Meyer plans to increase the width of his
garden by 25%. Which equation can be used to
determine how many feet Mr. Meyer will add to
the width of his garden?

Answers

Answer:

I believe it would be J

Step-by-step explanation:

Can someone help me with this question I retake this picture

Answers

Answer:

1. 5*10=50

2. Draw an array that's 4 by 5, 2 by 10, or 1 by 20

Step-by-step explanation:

For the first problem, since there are 5 rows and 10 columns, the expression is 5*10. This is equal to 50. For the second problem, the array could either be an array with 2 rows and 10 columns, 4 rows and 5 columns, 1 row and 20 columns, or vice versa. Hope this helps!

What mathematical operation is used with translations?

Answer in complete sentence.

Answers

A multiplication expression that is translated by the direct translation

What is the value of x? A) 10 B) 12 C) 15 D) 17

Answers

Answer:

c) 15

Step-by-step explanation:

The equation of a function is represented by f(x)=(x + 4) ( x - 3). Terri stated that the roots are 4 and -3. Is Terri right or wrong? Explain your answer

Answers

Answer:

Terri is wrong the roots are -4 and 3. She mixed up the numbers

Step-by-step explanation:

Hope it helps mark me brainliest

Can someone help me please?

Answers

Answer:

l

Step-by-step explanation:ll


compare 6.2054 to 5.3115


Answers

Answer: 6.2054 > 5.3115

Compare 6 and 5

6 > 5

Therefore 6.2054 > 5.3115

Answer:

[tex]6.2054 > 5.3115[/tex]

Step-by-step explanation:

[tex]6.2054 > 5.3115[/tex]

it's easy, first compare Number 6 and 5

[tex]6 > 5[/tex]

Lisa surveyed 50 randomly selected students to find out if they thought their school should start a recycling program of the 50 students
surveyed, 42 answered "yes."
If all 375 students in the school were asked the same question, approximately how many students are likely to answer "yes"?
A. 158
B. 283
C. 315
D. 333
E. 367

Answers

315 students would answer "yes". If 42 out of 50 students answered yes, that'd be 84% (you can determine this by dividing 42/50). Once you've determined that part,  you can multiply 375 by 0.84 (converting a percentage to a decimal), which would give you 315.

Please mark brainliest if this helped in any way, thank you! Have a great day! :)

Final answer:

Out of 50 surveyed students, 84% answered 'yes' to the question about starting a recycling program. Applying this percentage to the whole school of 375 students, we estimate that about 315 would say 'yes'. So, the correct choice is C. 315.

Explanation:

To answer this question, we first need to find out what fraction of students surveyed answered 'yes'. In this case, it's 42 out of 50 students, or 84%. If we apply this percentage to the entire school population, we can estimate how many of the 375 students would likely answer 'yes'.

To do this, you multiply the total number of students (375) by the percentage that answered 'yes' (.84 or 84%) which would give us 315.

So, out of 375 students, we can estimate that approximately 315 would answer 'yes' to the question about starting a recycling program. Hence, the correct answer is C. 315.

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which of these is the best estimate of the volume of this cereal box?

Answers

Answer:

234 cubic inches

Step-by-step explanation:

12.9 will round to 13

9.2 will round to 9

2.2 will round to 2

the equation for volume is [tex]V=whl[/tex] which mean you will multiply all three of the numbers to get 234 cubic inches

i hope i could help :)

What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and width of 3 and three-fourths centimeters. 17 and one-fourth cm3 18 and three-fourths cm3 27 and one-fourth cm3 159 and StartFraction 3 Over 8 EndFraction cm3

Answers

Answer:

Option D: 159 3/8 cm^3

Step-by-step explanation:

1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3

2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ Base * height = length * width * height

3. Substitute and compute the volume through algebra:

5 cm * 8 1/2 cm * 3 3/4 cm =

5 cm * 17/2 cm * 15/4 cm =

85/2 cm^2 * 15/4 cm =

1275/8 cm^3 =

159 3/8 cm^3

4. This means that the Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)

The volume of the rectangular prism is 159/8 cm³.

What is volume?

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

To find the volume of a rectangular prism, we multiply the length, width, and height.

The length of the prism is 5 cm, the height is 8 and one-half cm (or 17/2 cm), and the width is 3 and three-fourths cm (or 15/4 cm).

So, the volume is:

V = l × w × h

V = 5 cm × 15/4 cm × 17/2 cm

V = 159/8 cm³

Therefore, the volume of the rectangular prism is 159/8 cm³.

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