What is the scale factor of the dilation?

What Is The Scale Factor Of The Dilation?

Answers

Answer 1

Answer:

[tex]\dfrac{1}{2}[/tex]

Step-by-step explanation:

It is given that triangle ACB is the preimage and triangle DFE is the image.

We need to find the scale factor of the dilation.

[tex]\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of preimage}}[/tex]

In the given triangles, side AC and DF are corresponding sides.

[tex]\text{Scale factor}=\dfrac{DF}{AC}[/tex]

[tex]\text{Scale factor}=\dfrac{6}{12}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{2}[/tex]

Therefore, the scale factor of the dilation is [tex]\dfrac{1}{2}[/tex].


Related Questions

For a trapezoid, the midsegment is one-half of...
a) the opposing leg

b) the square of the largest leg

c) the same as the smallest leg.

d)the sum of the bases

Answers

Answer:

D

Step-by-step explanation:

Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases

What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases

Mathematically, this is same as adding the two bases and dividing the result by 2.

Hence we can say it is exactly one-half the length of the sum of the two parallel bases

Write a whole number that rounds to 9000 if we are rounding to the nearest thousand.

Answers

Answer:

Some examples: 8888, 8551, 9237, 9441.

Answer:

the answer could be any number from 8500 to 9400

Step-by-step explanation:

hope this helps

What is the arc length for a central angle of 120° on a circle with radius 5 units?

Answers

Answer:

(10/3)π units

Step-by-step explanation:

120 degrees is equivalent to (2π)/3 radians.  Applying the arc length formula s = r Ф, we get:

s = arc length = (5 units)(2π)/3 = (10/3)π units

An insurance company models the number of warranty claims in a week on a particular product that has a Poisson distribution with mean 4. Each warranty claim results in a payment of 1 by the insurer. Calculate the expected total payment by the insurer on the warranty claims in a week.

Answers

Answer:

4 monetary units

Step-by-step explanation:

In a Poisson distribution, the expected value of the distribution is the same as the mean:

[tex]E(X)=\mu=4\ claims[/tex]

The expected number of warranty claims is 4.

Since each claim results in a payment of 1, the expected value paid by the insurer is:

[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]

The expected total payment on warranty claims is 4 monetary units.

the denominator of a fraction is 2 more than its numerator.when both the numerator and the denominator are increased by 3,the fraction is increased by 3/20.Find the original fraction given that both the numerator and denominator are positive integers

Answers

Answer:  3/5

Step-by-step explanation:

[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]

Since "a" is a positive integer, disregard a = -10

So the only valid answer is a=3   →  a+2=5

[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]

Estimate $10.01 + $7.07 using front-end estimation.

Answers

Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

Factor this polynomial. -3x^2 - 16x - 5 A. (3x + 1) (x - 5) B. (3x - 1) (x - 5) C. -1 (3x + 1) (x + 5) D. (-3x + 1) (x + 5)

Answers

Answer:

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

Step-by-step explanation:

Step 1: Factor out negative

-1(3x² + 16x + 5)

Step 2: Factor quadratic

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

Which is the best definition of an isosceles triangle?

Answers

Answer:

Step-by-step explanation:

A triangle with two angles that are the same with a third thats different or somthing.

Can someone please help me with this question I’m stuck on

Answers

Answer:

The answer is option D.

Hope this helps

Answer:

D

Step-by-step explanation:

X-5 is not a factor because is a reminder and 5 is not a zero because

p ( 5)=4

Question 2 PLEASE HELP A linear function has the same y-intercept as x+2y=8 and it’s graph contains the point (9,6) find the y-intercept of the linear function. Y-intercept: (0,____)

Answers

Answer:

The Y-intercept is (0,4) for the expression x+2y=8 (simplified to y=-1/2x+4)

The Y-Intercept for the linear graph is (0,10.5)

If $N$ is a positive integer and $N^2 = 91,\!204$, what is the value of $N$?

Answers

Answer:

  302

Step-by-step explanation:

Given ...

  [tex]N^2 = 91,\!204[/tex]

the value of N is found by taking the square root.

  [tex]N=\sqrt{91,\!204}=\boxed{302}[/tex]

factorise 5y_6py.answer​

Answers

5y-6py
We want to factor out the “y”
Answer would be: “ y(5-6p ”

A jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chooses a sweet at random. What is the probability that she will pick either a yellow or orange sweet?

Answers

Using the probability concept, it is found that there is a 0.375 = 37.5% probability that she will pick either a yellow or orange sweet.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

There are 5 + 4 + 8 + 4 + 3 = 24 sweets, hence [tex]T = 24[/tex]Of those, 5 are yellow and 4 are orange, hence [tex]D = 9[/tex].

The probability that she will pick either a yellow or orange sweet is:

[tex]p = \frac{D}{T} = \frac{9}{24} = 0.375[/tex]

0.375 = 37.5% probability that she will pick either a yellow or orange sweet.

A similar problem is given at https://brainly.com/question/15536019

Probability to pick yellow or orange sweet is 3 / 8

Given:

Number of yellow sweet = 5

Number of red sweet = 4

Number of green sweet = 8

Number of orange sweet = 4

Number of white sweet = 3

Find:

Probability to pick yellow or orange sweet

Computation:

Total number of sweets = 24 sweets

Probability to pick yellow = 5 / 24

Probability to pick orange = 4 / 24

Probability to pick yellow or orange sweet = 5/24 + 4/24

Probability to pick yellow or orange sweet = 9 / 24

Probability to pick yellow or orange sweet = 3 / 8

Learn more:

https://brainly.com/question/21807199?referrer=searchResults

Which of the following inequalities is graphed on the coordinate plane? A.y≤-2x=+1

Answers

Answer:

y≤-2x=+1

Step-by-step explanation:

this will definitely on coordinate plan.

Kindly completed your question as it seem unfinished

write the slope-intercept form of the equation of the line described and graph. Through: (3,-3), perpendicular to x=0

Answers

y +3 = undef ( x -3 )
y + 3 = 0
y=-3

_______________________
can someone help me solve this question? Thank you.

Answers

Answer:

-60

Step-by-step explanation:

Factor the problem out using FOIL.

The end result is: −60[tex]x^{2}[/tex]−84x+9

The value of coefficent a (the number in front of the x^2) is -60.

How do you solve the compound inequality? 6 – x > 15 or 2x – 9 ≥ 3

Answers

Answer:

x < -9 or  x ≥ 6

Step-by-step explanation:

6 – x > 15 or 2x – 9 ≥ 3

Solve each inequality

6-x > 15

Subtract 6 from each side

6-x-6 > 15-6

-x > 9

Multiply by -1 remembering to flip the inequality

x < -9

Then the other inequality

2x – 9 ≥ 3

Add 9 to each side

2x -9+9≥ 3 +9

2x≥ 12

Divide by 2

2x/2 ≥ 12/2

x ≥ 6

Put back together

x < -9 or  x ≥ 6

She puts a value in the box and says that the equation represents a direct variation. Which explains whether the equation could represent a direct variation

Answers

Answer:

y = kx  where k>0

Step-by-step explanation:

A direct variation is in the form

y = kx

where k is a numerical positive constant ( i.e. > 0 )

Answer:

0

Step-by-step explanation:

If she puts 0 in the box she would have a direct variation.

Step-by-step explanation:

 Given : She writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that  the equation could represent a direct variation.

When two variables are such that one is a constant multiple of other, we said they are in Direct variation.

That is in form of y = ax , here y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

The probability that you roll a two on a six-sided die is 16. If you roll the die 60 times, how many twos can you expect to roll?


Answers

Answer: 960

Explanation:

If you roll one time the probability is 16
Then if you roll 60 times the probability is:

16 x 60 = 960

You’re answer is 960.

If you roll the die once the probability it 16. But if you were to roll it 60 times the math you would have to do would be: 60*16=960. Simpler than you may think.

Hope this helps!!

Need this answered ASAP.

What is the solution to the system of equations graphed below?
A.) (2, 4)
B.) (4, 2)
C.) (0, 6)
D.) (6, 0)

Answers

Answer:

B

Step-by-step explanation:

its because the intersection of two lines is (4,2)

Answer:

B

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

Point of intersection = (4, 2 ) ← solution

what is the range of the stem leaf 1/0157 2/137 3/6 4/01138 find the range of times

Answers

Answer:

[tex]\boxed{Range = 38}[/tex]

Step-by-step explanation:

Lowest No. = 10

Highest no. = 48

Range = Lowest No. - Highest No.

Range = 48-10

Range = 38

which of the following is the equation of the quadratic function below?

Answers

Answer:

A. y = x² - 9x + 18

Step-by-step explanation:

The key thing to look for in this graph is the y-intercept (where the graph will hit the y-axis).

We can't see exactly where y-intercept is, but we know it is a positive number.

In a standard form quadratic equation:

y = ax² + bx + c

'c' tells you what the y-intercept is.

The choices with positive y-intercept are A and B.

Again, we can't see exactly where y-intercept is, but we know it is not 1.

y = x² - 9x + 18

has a positive y-intercept that is not 1,

thus the answer is A.


Derek had 104 more stamps than Ahmad. Derek then gave 1/9 of his stamps to
Ahmad. In the end, Derek had 4 times as many stamps as Ahmad. How many
stamps did Derek have at first?​

Answers

Answer:

  117

Step-by-step explanation:

Let d represent the number of stamps Derek had at first. After he gave 1/9 of his stamps to Ahmad, Ahmad had (d -104) +(d/9). Derek had 4 times this number after giving away d/9 stamps:

  (d -d/9) = 4((d -104) +d/9)

  (8/9)d = 4d -416 +(4/9)d

  416 = (32/9)d . . . . add 416 -8/9d

  117 = d . . . . . . . . . . multiply by 9/32

Derek had 117 stamps at first.

_____

Check

1/9 of Derek's collection is 13 stamps. 104 less than Derek's collection is 13 stamps.

So, Ahmad started with 13 stamps and was given 13 stamps by Derek. Meanwhile, Derek started with 117 stamps and gave away 13, so ended with 104 stamps. That number (104) is 4 times Ahmad's new number (26), as it should be.

Can someone please help...
This is a quantitative (maths) question. I’m going to show the solved examples, Cena someone explain the examples to me?
Please ignore the question above and explain examples.

Answers

Answer:

See below for explanation of the examples.

Step-by-step explanation:

Left example

It is an exercise in addition, i.e. 48+122=170, the answer is written in the bottom box.

Right example

It is an exercise in subtraction, i.e. 8 1/2 - 3 1/2 = 5

The answer is written in the bottom box.

There is no indication though as to when to do the addition, and when to do the subtraction.  Perhaps it would be shown in the rest of the page (not shown).

Which of the following is the radical expression of 2 times d to the seven tenths power?

Answers

Answer:

2d^0.7

Step-by-step explanation:

How many 4-letter combinations containing 3 consonants and 1 vowel can be made from this set if all the letters in a combination must be unique? {R, E, L, O, A, D} A. 30 B. 48 C. 72 D. 90

Answers

Answer: C. 72

Step-by-step explanation:

The set is:

{R, E, L, O, A, D}

if we separate it into consonants and vowels, we have

consonants: {R, L, D}

vowels : {E, O, A}

Now, we want combinations of 3 consonants and one vowel.

we have 4-letters combinations, let's fixate the first letter as the vowel,

for this first letter, we have 3 options {E, O, A}

for the second letter, a consonant, we also have 3 options  {R, L, D}

for the third letter, we also need to choose a consonant, but now we have 2 options (because we already selected one)

for the fourth letter, we have only one option.

Now, the total number of combinations is equal to the product of the number of options in each selection:

C = 3*3*2*1 = 18

But remember that this is the case where the vowel is fixed for the first letter, we have 4 positions where the vowel can be (first, second, etc)

So the actual number of combinations is:

C*4 = 18*4 = 72

The correct option is C.

Which statement could the expression n + 1 represent? one point greater than the last test grade the difference of Gina's score and one the total cost less one dollar one minute less than Mickey's previous time

Answers

Answer:

A. One point greater than the last test grade.

Step-by-step explanation:

One point greater than the last test grade can be written as an expression:n + 1

The difference of Gina’s score and one can be written as an expression:

n - 1

The total cost less one dollar can be written as an expression: n - 1

One minute less than Mickey’s previous time can be written as an expression: n - 1

Answer:

Step-by-step explanation:

its A

Please answer this in two minutes

Answers

Answer:  WY = 24

Step-by-step explanation:

WY is the midsegment of ΔVXU  ⇒  UV = 2WY

Given: UV = t, WY = t - 24

t = 2(t - 24)

t = 2t - 48

-t = -48

t = 48

WY = t - 24

     = 48 - 24

     = 24

Find the area of the composite figure in square mm. Round your
answer to the nearest square milimeter. (Enter only a number as
your answer.)
20 mm
D
C
T
14 mm
A
B
32 mm

Answers

Answer:

32mmmmmmmmmmmmmmmmm

Express in simplest radical form.

64 2/3 • 64 1/3

Answers

Answer:

The answer to this in simplest radical form is 4160 2/9.

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