For a dilation with a scale factor less than 1, how do the angles and side lengths of the preimage relate to the angles and side lengths of the image?
A. Angle are proportional;side lengths are larger

B. Angles are proportional;side lengths are smaller

C. Angles are congruent;side lengths are larger

D. Angles are congruent; side lengths are smaller

Answers

Answer 1

The dilation of an image with a scale factor less than 1 will have the angle proportional to the preimage, and the side lengths have been smaller. Thus, option B) is correct.

The dilation factor has been the scale factor that has been used for the enlargement or reduction of the image. The images with a dilation factor of more than 1 enlarge, while the images with a dilation factor less than 1 shrinks.

The angle of the image with a scale factor less than 1 has been proportional as with shrinking, the angles have been reduced proportionally with the scale factor.

The reduction in scale factor from 1 will shrink the image. The shrinked image will be consist of a smaller size. So there has been a reduction in the side length of the image.

So, with the image with dilation of scale factor less than 1, the angles are proportional while the side length is smaller. Thus option B) is correct.

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Related Questions

What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44

Answers

Using the median concept, the interquartile range of the data-set is:

A. 22.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.

From this box plot, we have that:

The first quartile is of 39.The third quaritle is of 61.

Then the IQR is:

61 - 39 = 22.

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What are the multiplication sentences for factors of 6?

Answers

Answer:

keep doubling the answer by 6

Bryan has a bag containing 12 red marbles, 8 blue marbles, 5 green marbles and 3 yellow marbles. He will randomly select one marble from the bag. What is the probabillity that Bryan will select a red marble
F. 5/28
G. 3/7
H. 2/7
J. 3/28

Answers

Answer:

3/28

Step-by-step explanation:

find the inequality represented by the graph​

Answers

Y=-2x-5 should be it

Answer:

y is greater than or equal to -2x-5

Step-by-step explanation:

First find the slope which is -2x and then find the y-intercept which is -5 and then you can just test out if its greater than or equal to, or less than or equal to. To do this you just fill in the point 0,0 and if you do that you should get 0 is  greater than (you can ignore the "or equal to") -5 and is that true? Yes it is! so then the side of the line that the point 0,0 is on should be shaded and since it is your answer is right!

Hope this helped!

which expression is equivalent to (5m) ^3

Answers

Answer:

5m•5m•5m

Step-by-step explanation:

so you  multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3

5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (5m)³

We have to find the equivalent expression of (5m)³

Equivalent expressions are expressions that work the same even though they look different

(5m)³ can be written as 5m.5m.5m

The value of five cube is one hundred twenty five.

125m³

Hence, 5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

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work out 14hrs 3min devide by 3​

Answers

Answer:

4.6833333 Hours

Step-by-step explanation:

14 hrs=840 min

843/3

281minutes

281 min= 4.6833333 Hours

please mark brainliest

11 There are 136 people on a train.
34 of the people are children.
What percentage of the people on the train are adults?​

Answers

Answer:

75%

Step-by-step explanation:

There are 136 people on a train

34 are children

Therefore the percentage of people that are adults can be calculated as follows

= 136-34

= 102

= 102/136 × 100

= 0.75 × 100

= 75%

Hence 75% are adults

(giving brainiest)

tell how you solved the question

an example is
6 x 4 x 6 = 144

Answers

Answer:

144

Step-by-step explanation:

(6(2))(4)

aka (6*6)*4=144

Answer:

V = 144

Step-by-step explanation:

Volume is a measurement of space, or capacity.

V = h × w × l

V = 6 × 6 × 4

V = 144

good luck, i hope this helps :)

Evaluate x + 12 when x=5

Answers

Answer:

17

Step-by-step explanation:

5+12

Answer:

the answer is 17.

Step-by-step explanation:

x + 12 when x = 5.

so x = 5.

5 + 12 = 17

एक कार की गति 92.4 किमी प्रति घंटा है यह 20 मिनट मे कितना दुरी तय करेगी ​

Answers

Answer:

mate I will surely help if nut pls translate it in English as I can barely read hindi

A tree casts a shadow 72 feet long. At the same time, a man who is 6 feet tall casts a shadow 8 feet long. What is the height of the tree? *

QUICK PLS

Answers

Answer: 54 feet.

Step-by-step explanation:

Ratio between a tree's height and its shadow's length = x : 72ft

Ratio between man's height and his shadow's length = 6ft : 8ft = 3 : 4

In order to solve this problem, we have to cross multiply the two ratios (image)

So, 4x = 216.

By solving this equation we learn that x = 54ft

So, the tree is 54 feet tall.

I am not a professional, simply using prior knowledge.

Note- It would mean the world to me if you could mark me brainliest!

The volume of the prism is 72 cubic feet. Find the missing height of the triangular prism, and the surface area.

Answers

Answer:

h = 12

surface area = 192

Step-by-step explanation:

Volume of this prism = 72

The base triangle has an area of B * h/2

The base = 6

The height in red = 2

Area = 1/2 * 6 * 2

Area = 6 ft^2

The volume = B * h = 72

The base = 6

6* h = 72

h = 72/6

h = 12

The surface area = 2 triangles + the rectangle face closest to us + the rectangular face whose width is 4 + rectangular face whose with is 5

The surface area = 2 * 6 + 6* 12 + 4*12 + 5 * 12

The surface area = 12 + 72 + 48 + 60

The surface area = 192 square feet.

H=12 I feel like it this

A cell phone is 84 mm long and 46 mm wide. What is the ratio of the widty to the length?​

Answers

Answer:

23/42

Step-by-step explanation:

width/length

46/84

=23/42

23:42

=.5476

The ratio of the width to the length of the cell phone will be 42: 23.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

A cell phone is 84 mm long and 46 mm wide.

Then the ratio of the width to the length will be calculated by the division of the number 84 by 46. Then we have

⇒ 84 / 46

⇒ 42 / 23

The ratio of the width to the length of the cell phone will be 42: 23.

More about the ratio and the proportion link is given below.

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What is the coordinate plane made up of two intersectioing lines

Answers

It is D - the origin

For which points is the y-coordinate greater than -3

Answers

Answer:

d,c,a

Step-by-step explanation:

guess it helps

Does anyone know?? I'll give a brainliest For the correct answer.​

Answers

Answer:

its 14

Step-by-step explanation:

because you have 40 bucks then you minus 18 then you divide then u get 14.

Answer:

$14

Step-by-step explanation:

20*2=40

40-12=28

28/2=14

A city has a 5% sales tax.


Is there a proportional relationship between the cost of items before tax and the cost of items after tax?

Yes or No

Answers

Answer:

Yes,

There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.

Step-by-step explanation:

Given - A city has a 5% sales tax.

To find - Is there a proportional relationship between the cost of items

              before tax and the cost of items after tax?  

Proof -

Yes, cost of items before tax is directly proportional to cost of items after tax.

Reason -

With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.

Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5

Answers

Answer:

C. 2x + 1

Step-by-step explanation:

Factorize 6x² - 7x - 5

6x² + 3x - 10x - 5

3x(2x + 1) - 5(2x + 1)

(3x - 5)(2x + 1)

Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.

Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do you agree with Sylvia? Why or why not?

Answers

Answer:

I do not agree with Sylvia

Step-by-step explanation:

Given

1 small box

64 triangle pattern blocks

Required

Is she right?

From the question, we understand that she fills the box with 64 blocks.

For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)

The reason for this is that, the volume of each box may not be 1 cubic unit.

So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.

Since, it is not stated, we will not make any assumptions.

Hence, I do not agree with Sylvia.

4x^2-4x=3
Plz will mark brainliest!

Answers

Answer:

=−1/2

=3/2

Step-by-step explanation:

Answer:

x = -1/2

x = 3/2

Step-by-step explanation:

4x² - 4x = 3

Subtract 3.

4x² - 4x - 3 = 0

Factor by grouping.

(2x + 1)(2x - 3) = 0

2x + 1 = 0

2x - 3 = 0

x = -1/2

x = 3/2

good luck, i hope this helps :)

What is 11.3 divided by 3

Answers

This can easily be done by dividing the 3 with 11 which gives you the answer below!

Answer:

it's 3.7666 and so on. It's a repeating decimal.

Step-by-step explanation:

the intersection of parallel lines b and c and transversal line d form several special angle relationships. which pairs of angles and vertical angles?

Answers

Answer:

I think angel 2 and angle 3

and angel 5 and angle 8

are the pairs of vertical angle.

hope it helps.

Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?

Answers

Answer:

It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end

Find the unit rate.
jacob walks 3 1/2 miles in 1 3/4 hours
how many miles jacob can walk per hour

Answers

Convert both fractions into pure fractions so 3 1/2 becomes 7/2 and 1 3/4 becomes 7/4 now divide 7/2 by 7/4 which is 2. So jacob can walk 2 miles per hour

Please help! Thank you!

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \sf \: y = x + 15}}[/tex]

Step-by-step explanation:

to understand thisyou need to know:linear equationlinear equation word problemsPEMDAStips and formulas:linear equation:y=mx+blet's solve:

all we need to care about the middle condition which is

the new test score is 15 points more than the original score

given that

original score is x

New score is y

if you pay attention to the given condition

we can find it same as linear equation

therefore

according to the question

the equation is

y=x+15

A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.

Answers

The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.

The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.

Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.

Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.

The probability of drawing a blue ball on the second draw is also 3/10.

To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:

Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)

= (1/2) × (3/10)

= 3/20

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PLEASE HELP!!!
what is the length of segment SR? units​

Answers

Answer:

Its 12

Step-by-step explanation:

Can someone help me with two geometry questions? They are in a PDF document that I attached.

Answers

Answer:

use

x+y=z

and see magic answer is there

Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

q=6 and r=7 look at pic for work

Answer:

It's q = 6 and r = 7

Step-by-step explanation:

Hope this helps and have a great day (^w^)

Also Hi B

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