A dilation is a nonrigid transformation that can produce enlarge or reduce images from a given pre-image. How do you know that a dilation will produce similar figures? Explain.

Answers

Answer 1

You would know that the dilation is going to produce a similar figure because the image and the pre image are going to have congruent and corresponding sides.

How to know that dilation would give similar figure

Due to the congruent matching angles between the image and pre-image, dilations result in identical figures. Based on the scale factor, the corresponding side lengths of the figures will be proportionate. The scale factor causes the sides to be either extended or contracted while maintaining the form.

Each preimage point has a line leading to its corresponding image point that is congruent. Dilations are a particular kind of transformation that are not isometries.

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Related Questions

what is the slope of the linear relationship shown on the graph?
A. -2/3
B. 2/3
C. -3/2
D. 3/2​

Answers

Answer:

D

Step-by-step explanation:

rise over run

from the points you go up 3, then 2 to the right

3/2

Solve the equation and enter the value of x below.
3x+ (-8)= -71
Answer here

Answers

[tex]3x+(-8)=-71[/tex]

Simplify:
[tex]3x-8=-71[/tex]

Add 8 to both sides:

[tex]3x-8+8=-71+8[/tex]

[tex]3x=-63[/tex]

Divided both sides by 3:

[tex]\dfrac{3x}{3} =\dfrac{-63}{3}[/tex]

[tex]\fbox{x = -21}[/tex]

If h(y)=4−y^2/3−y , which of the following is not defined?

Answers

The value which is not defined is h(3).

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given expression of function is, h(y) = [tex]\frac{4-y^2}{3-y}[/tex]

The function will not be defined when the value of the denominator equals zero.

That is,

3 - y = 0

or y = 3

Hence the function is not defined for when the value of y is 3.

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The complete question is :

If h(y)=4−y^2/3−y , which of the following is not defined?

(a) h(0)

(b) h(3)

(c) h(-3)

(d) h(2)

(e) h(-2)

EXERCISE 6
1. Which is warmer: -5 °C or -7 °C?
2. By how many degrees is 29 °C warmer than -7 °C? 36
3. By how many degrees is -2 °C colder than 7 °C? degres
4. Suppose the temperature at midday was 21 °C. By sunset it had dropped by 9 °C. What was the temperature at sunset? Hlw-.
5. The temperature on a cold winter's day in Vancouver, Canada was -4 °C. It increased by 6 °C by midday. What was the midday temperature?
6. The following day in Vancouver started out at -1 °C and got four degrees colder by nightfall. What was the temperature at nightfall?
7. Two days later, the temperature started out at 2 °C, but fell nine degrees after it snowed. What was the temperature after it had snowed? ad calculations with numbers​

Answers

Answer:

1. -7, if you plot it on a number line, -7 is farther down.

2. You already solved this

3. 7 - (-2) = 7+2 = 9

4. 21 - 9 = 12 degrees C

5. 2 degrees C

6. -5 degrees C (-1 - 4)

7. 2 - 9 = -7 degrees C

Which expression is equivalent to -27+45? A 9(3+5)

Answers

The equivalent expression would be -9(3 - 5).

What are equivalent expressions?

Equivalent expressions are different mathematical expressions that simplify to the same value.

The given expression is -27 + 45

We can take the factor of '-9' outside, we get

= -27 + 45

= -9*3 - (-9) * 5

= -9(3 - 5)

Hence, the equivalent expression would be -9(3 - 5).


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Solve for x y=8x y=72 Simplify your answer as much as possible.

Answers

72 = 4y
divide both sides by 4, to get y by itself
72/4 = y
y = 18

The quotient of 8 and s

Answers

to start this we need more information to the question

A recipe for biscuits says to mix 5 ounces of milk with 20 ounces of flour.

How many ounces of milk are there for every ounce of flour?

Milk (oz) Flour (oz)

5 20

1

4

1

You got it!

How many ounces of flour are there for every ounce of milk?

Milk (oz) Flour (oz)

5 20

1

4

1

1

4

Answers

Answer: 4

Step-by-step explanation:

PLEASE HELP!!!
Given the figure below shows regular hexagon ABCDEF, answer the following questions. Based on your answers from the previous two questions, is BCEF a rectangle Explain your reasoning using complete sentences. All work should be shown.

Answers

Answer:

Step-by-step explanation:

It's literally outlined. Just remove the points D AND A.

Which explains how to determine 40% of 50?
Find 10% of 50 by dividing 50 by 10. Then multiply the result by 4.
Find 10% of 50 by dividing 50 by 10. Then multiply the result by 40.
Find 50% of 40 by dividing 40 by 2. Then multiply the result by 4.
Find 50% of 40 by dividing 40 by 2. Then multiply the result by 40.

Answers

The best explanation for determining 40% of 50 is A. Find 10% of 50 by dividing 50 by 10. Then multiply the result by 4.

What is the percentage?

The percentage is a way of expressing one value in relative terms or as a ratio to another.

Percentages are quotients of the numerator divided by the denominator, multiplied by 100.

Percentages represent ratios of one variable or value compared to another, like other fractional values.

40% of 50 = 20

10% of 50 = 5 (50/10)

5 x 4 = 20

Thus, among the given options, Option A is the best way to determine 40% of 50.

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HELP PLS I would really appreciate help

Answers

The sentence "four divided by one whole number, one over three" describes the equation and will have a result equal to three.

How to write equation in sentence

The equation:

[tex]4 \div 1\frac{1}{3} [/tex]

can be represented with the sentence;

"four divided by one whole number, one over three".

And when we change the mixed number to a single fraction and the division sign to multiplication,we have;

[tex]4 \times \frac{3}{4} = 3[/tex]

Therefore, the sentence

"four divided by one whole number, one over three" can be use to describe the equation and when evaluated will give a result 3.

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what is -1037 + 582 show work

Answers

Answer: -455

Steps:

1. Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger value.

2. Calculate : get an answer of -455

Answer:

-455

Step-by-step explanation:

First lets find what is. -1037 + 582.

With negative number such at the one that you are asking, since it says that you need to add when you found out the real solution it looks like subtracting. Because your adding “ 582 “ to -1037. Your bringing the value UP so now lets figure it out -1037 + 582 = -455.

How did we get that??

Remember like I said on the top /\. It is like subtracting so we can make the problem easier by just making it 1037 - 582. The reason why we are doing minutes because like I said on the top it was a negative number, now lets subtract them:

1037-582=455

Since “ 1037 “ is actually negative we make the number negative. 455

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Answer = -455

What is the measure of angle N in the
figure below?
56° M
A 14°
B 42°
C 56°
D 82°
E 90°
N
138°

Answers

The angle N is 56 degrees.

What is exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. This theorem can be expressed mathematically as follows:

Exterior Angle = Interior Angle 1 + Interior Angle 2

This theorem is useful for finding the measure of an unknown exterior angle when the measures of the two remote interior angles are known.

This problem  can be determined by using the exterior angle theorem,

In this case, the measure of angle N is equal to the sum of the measures of angles M and 138°,

which is

56° + 138° = 194°.

Thus, the measure of angle N is 56°.

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A group of 500 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.

a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports 22 percent, documentaries, reality 20 percent, and sci-fi 20 percent

How many middle school students prefer the Documentaries television genre?

24
76
120
86.4

Answers

The number of the students that prefer documentaries is 120.

What is the number that prefer documentaries?

We know that in this case, we are dealing with the pie chart and that it is a representation of the preferences of each of the students that we have in the data set that is given.

We can see that;

Number that prefer documentaries = 22 %

Total number of the students = 500

We then have;

Number that prefer documentaries = 22/100 * 500

= 120

Hence, we have 120 students that prefer documentaries.

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A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7 in by 3 in by 3 1/4 in. If the bricks cost $0.04 per cubic inch, find the cost of 650 bricks. Round your answer to the nearest cent.

Answers

The cost of 650 bricks which are right rectangular prisms is $1774.5.

What is a rectangular prism?

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.

The dimensions of the right rectangular prism brick is -

width, w = 7 in

length, l = 3 in

height, h = 3(1/4) in = 3.25 in

Find the volume of the brick -

Volume = w × l × h

Volume = 7 × 3 × 3.25

Volume = 68.25 in³

The volume occupied by 650 bricks is -

V650 = 68.25 × 650

V650 = 44362.5 in³

The cost of cubic inch of brick is $0.04.

The cost of 650 bricks is -

Total cost = 44362.5 in³ × $0.04

Total cost = $1774.5

Therefore, the total cost is obtained as $1774.5.

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StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7

Answers

The value of x for the expression in form of fractions is, 7. So Option D is correct

What is a fraction?

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

First fraction ,

32/8

Second Fraction,

28/x

The value of x = ?

According to given condition,

32/8 = 28/x

Here, the rules of algebra can be used

1. If a number is in division operation then when it goes to another side of equal to, it will be in multiplication operation or vice-versa.

2. If a number is in addition  operation then when it goes to another side of equal to, it will be in subtraction operation or vice-versa.

Now, applying rules of algebra in the expression,

⇒ 32/8  = 28/x

⇒  4   =  28/x

⇒  x   =  28/4

⇒  x   =  7

Therefore, the value of x is 7

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Tell wether y=1/x shows direct variation, inverse variation, or neither. Explain your reasoning PLEASE

Answers

Answer:

Inverse variation.

Step-by-step explanation:

I would say inverse variation because inverse variation is represent as, y=k/×. And deals with division.

While direct variation is represented with, y=kx. And deals with multiplication.

Find the sum of the exterior angles of a quadrilateral

Answers

Answer:

The sum of the exterior angles of a quadrilateral is 360 degrees. This is because the exterior angle of a polygon is supplementary to the interior angle (the angle formed by two adjacent sides). The sum of the interior angles in a quadrilateral is 360 degrees (180 x 2) and since the exterior angles are supplementary to the interior angles, the sum of the exterior angles is also 360 degrees.

Uday Tahlan

There are 3 military horses and 4 ordinary horses. Together 1 military horse and 1 ordinary horse can pull 40 dan of supplies. The team of horses can pull 137 dan of supplies. One dan is a unit of mass. How many supplies can 1 ordinary horse pull? how many supplies can 1 military horse pull?

For this problem write and solve a system of equations to answer the question. Then check the solution.

Answers

The 1 ordinary horse can pull the 17 dan of supplies. The 1 military horse can pull the 23 dan of supplies.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that There are 3 military horses and 4 ordinary horses. Together 1 military horse and 1 ordinary horse can pull 40 dan of supplies. The team of horses can pull 137 dan of supplies.

Let x = military horses

y = ordinary horses

So, 3x + 4y = 137

x + y = 40

Solving;

x + y = 40

x = 40 -y

Thus, 3(40 -y) + 4y = 137

120 - 3y +  4y = 137

y = 17

x =23

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Unit 10: Circles
Homework 5: Inscribed Angles
age document! **
2.
B
P
Р
D
A
34
m/ABC =

Answers

The m∠ABC is 17°. The solution is obtained using the concept of inscribed angle.

What is inscribed angle?

Two chords with a shared termination point on the circle make up an inscribed angle in a circle. The vertex of the angle is this common terminal point. In other words, an angle is said to be inscribed if its vertex is on a circle and both of its sides are chords of the same circle.

An inscribed angle's measurement is equal to half of an intercepted arc's measurement.

It is shown in the figure that length of the arc is 34°.

We are given that ∠ABC is an inscribed angle.

We know that an inscribed angle is half of the arc it comprises.

So, m∠ABC= 34/2

= 17°

Hence, the m∠ABC is 17° .

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John needs to have a toilet repaired in his house. The cost of the new plumbing fixtures is $160 and the labor is $80/hr. After how many hours of labor would the cost of the repair job equal the cost of a new toilet of $320?


It would take__ hours of labor for the cost of the repair job to equal the cost of a new toilet.

Answers

The number of hours of labor for the cost of the repair job to equal the cost of a new toilet will be 2 hours.

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.

John needs to have a toilet repaired in his house. The cost of the new plumbing fixtures is $160 and the labor is $80/hr.

Let 'x' be the number of hours and 'y' be the total cost. Then the equation is given as,

y = 80x + 160

The number of hours when he charges $320, then we have

320 = 80x + 160

80x = 160

x = 2

The number of hours of labor for the cost of the repair job to equal the cost of a new toilet will be 2 hours.

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Determine whether the relation shown in the table is a function. Justify your reasoning.

Answers

The relation shown in the table is not a function.

What is function?

A function is a process or set of instructions that takes inputs, performs a specific task, and produces an output. Functions are key components of programming languages, allowing the coder to create complex commands with simple instructions. For example, a function can be used to add two numbers together or to generate a random number. Functions can also be combined to create more complex sequences of instructions.

This is because for the input of x = 9, there are two corresponding outputs of y, namely 6 and 4. This does not satisfy the definition of a function, which states that for any given input, there must be only one output. Therefore, the relation shown in the table is not a function.

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Amy counts butterflies for a science project.
She wants to know how many more butterflies she saw this month than in the past 4 months.
First she adds the number of butterflies she saw in the past 4 months.
She calls this number b. What should Amy do next?

Answers

Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.

What is the difference?

The difference between the two figures or numbers is the result of a subtraction operation.

A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).

Thus, Amy's next step is a subtraction operation to find the difference.

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5 |z+3| ≤ 35

Express your answer in interval notation.

Answers

Answer:

[ -10,4]

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH THIS?

Answers

Answer:

I believe it is D. (Sorry if I'm wrong!)

Explanation:

Since a flat line would be 180°, you just need to add the answers to the top obtuse angle (138°) until you get 180°, and since they are the same angles on the top and bottom, angle 7 would be the same as angle 6

Find the distance from Link to the Red Soldier so Link can attack. Press "Submit" to check your work.

Answers

Answer: just make a guess because we do not do that here sorry can i help u with something diffrent

Step-by-step explanation:

A calf raiser mixes a batch of milk replacer for 15 calves. Each calf gets two
quarts of milk replacer. If the calf raiser uses 960 oz. of replacer and needs to
add 34 as much water as milk replacer, how many ounces of water does she need?

Answers

Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

(5/3x+4)^2 as a trinomial in simplest form

Answers

The expression (5/3x+4)^2 in simplest trinomial form is (25x^2+36x+96)/6.

What is a trinomial?

An algebraic expression with three terms is called a trinomial. One or more terms in an algebraic expression each have variables and constants. These expressions utilise separators like +, -, ×, and ÷ that are symbols or operations. This algebraic statement encompasses polynomials, monomials, binomials, and trinomials.

The given expression is -

(5/3x+4)^2

Solve it to get the trinomial -

= (5/3x+4)^2

= 25/(3x+4)^2

= 25/(6x^2+6x+16)

= (25x^2/6) + 6x + 16

= (25x^2+36x+96)/6

Therefore, the trinomial obtained is (25x^2+36x+96)/6.

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Please help me with this asap

Answers

Answer:

4

Step-by-step explanation:

can someone answer the bottom 4?

Answers

Answer:

Step-by-step explanation:

hcg

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