Triangle XYZ is translated by the rule [x+1, y-1] Ian been dilated by scale factor of 4 centered at the origin. Which statement describes the properties triangles XYZ and X’’Y’’Z” after the transformations?

Answers

Answer 1

Answer:

D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.

Step-by-step explanation:

After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.


Related Questions

PLEASE HELP MEEE!!!!!!!True or False? A circle could be circumscribed about the quadrilateral below.
O A True
B. False
SUBMIT

Answers

Answer:

I have a feeling the answer is false

Step-by-step explanation:

If this is wrong please dont be mad :/

Yes, a circle can be circumscribed in quadrilateral.

What is cyclic quadrilateral?

According to the definition, a cyclic quadrilateral is a quadrilateral that is encircled by a circle. It signifies that all four vertices of the quadrilateral are within the circle's perimeter.

A cyclic quadrilateral is a quadrilateral with all four of its vertices on a circle. It is also known as an inscribed quadrilateral.

We know that a cyclic quadrilateral is one in which the opposite angles of a quadrilateral amount to 180 and a circle can be inscribed.

The opposite angles add up to 180 in this example, indicating that it is a cyclic quadrilateral.

Learn more about this cyclic quadrilateral here:

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Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account.

Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.
451.89 minus c = 358.92
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
c = 3 (451.89 minus 358.92)

Answers

for ed, it should be:

B

C

D

if not, then idk what happened

The equations that represents the amount of one check are:

451.89 minus 3 c = 358.92

358.92 + 3 c = 451.89

358.92 + c + c + c = 451.89

What equation represent the amount of one check?

The equation that represents the amount of one check is:

Total amount in the account - total value of 3 checks = amount left

Total amount in the account - amount left = total value of 3 checks

Value of one check = (total amount in the account - amount left) / 3

$451.89 - 3c = $358.93

$451.89 - $358.93 = 3c

($451.89 - $358.93) / 3

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

Which factors affect the strength of electric force between two charged objects?

Answers

Answer:

The first factor is the amount of charge on each object. The greater the charge is then the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is.

Step-by-step explanation:

-1/3 multiplied by 1/4

Answers

Answer:

[tex] - \frac{1}{12} \\ [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} \times \frac{1}{4} \\ \\ = - \frac{1}{12} [/tex]

A certain pet store sells 6 times as many fish as kittens. It sells twice as many kittens as lizards. If the pet store sells 15 lizards a week, how many fish, kittens, and lizards does the pet store sell every week?

Answers

It sells twice as many kitten as lizards:

Kittens sold = 15 x 2 = 30 total kittens.

It sells 6 times the amount of fish:

Fish sold = 6 x 30 = 180 total fish.

Lizards = 15

Kittens = 30

Fish = 180

Answer:

They sell 225 pets each week.

Step-by-step explanation:

Let f be fish, k be kittens, and l be lizards.

[tex]f[/tex]÷6=[tex]k[/tex]

[tex]k[/tex]÷2=[tex]l[/tex]

If [tex]l=15[/tex], then:

[tex]k=30\\f=180[/tex]

180+30+15=225 pets

They sell 225 pets each week.

(I hope this isn't wrong but that answer seems wrong)

Solve the following quadratic equation.
(x - 16)^2 = 256

A. x = -32 and x = 0
B. x = 30 and x = -4
C. x = -30 and x = 4
D. x = 32 and x = 0

Answers

The answer is D. x = 32 and x = 0

Answer: D. x = 32 and x = 0

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

Explanation:

Think of x-16 as y. In other words, let y = x-16

We have (x-16)^2 = 256 become y^2 = 256.

Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.

--------

If y = 16, then y = x-16 solves for x to get

y = x-16

16 = x-16

x-16 = 16

x = 16+16

x = 32 is one solution

---------

Plug in y = -16 and isolate x

y = x-16

x-16 = y

x-16 = -16

x = -16+16

x = 0 is the other solution

----------

We can check each answer by plugging them back into the original equation

Let's try x = 0

(x-16)^2 = 256

(0-16)^2 = 256

(-16)^2 = 256

256 = 256 ... works

Now try x = 32

(x-16)^2 = 256

(32-16)^2 = 256

(16)^2 = 256

256 = 256 ... also works; both answers have been confirmed

what is the probability that the next person you meet was not born in February? No leap years.​

Answers

Answer:

A

Step-by-step explanation:

Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!

Answer:

a.

Step-by-step explanation:

A non leap year has 365 days. February of a non leap year has 28 days.

365 - 28 = 337

There are 337 days in a non leap year that are not in February.

p(not February) = 337/365

What is the theme of a story? 100 PTS!

Answers

Answer:

The theme in a story is its underlying message, or 'big idea".

Answer: its underlying message, or 'big idea. ' In other words, what critical belief about life is the author trying to convey in the writing.

Step-by-step explanation: what the author is trying to tell you.

If a and b must be positive integers, what is the largest integer n such that 13a + 18b = n has no solutions?

Answers

Answer:

Any integer that is not integer multiple of 234 is not a solution.

Step-by-step explanation:

We are required to find the largest integer n such that 13a + 18b = n has no solution, where a and b are integers.

13a + 18b = n

For a = 1, b = 0

n = 13

For a = 0, b = 1

n = 18

So, for the solution sets (1, 0), (0, 1), n will always have a solutions.

Consider n = 13 × 18 = 234

This means that any integer that is not integer multiple of 234 is not a solution.

Whenever there are _____________ in a set of data, the mean is not a good way to describe the data.

A. quartiles
B. modes
C. medians
D. outliers

Answers

Answer:

The answer is D because outliers are data far away from the main data set.

Answer:

d

Step-by-step explanation:

4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z

Answers

Answer:

and 4x-5x-4x+3y+7y-3y-8z+10z-8z

-5x+7y-6z :this is the answer

Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.

Answers

Answer:

Arrow C.

Step-by-step explanation:

Out of three arrows, nearest arrow from the origin will be the best arrow.

Ordered pair for arrow A → (-5, 4)

Distance between A and bullseye = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}[/tex]

                                                    =  [tex]\sqrt{(0+5)^2+(0-4)^2}[/tex]

                                                    = [tex]\sqrt{41}[/tex]

                                                    = 6.40 units

Ordered pair for arrow B → (5, -5)

Distance between B and bullseye = [tex]\sqrt{(0-5)^2+(0+5)^2}[/tex]

                                                         = [tex]5\sqrt{2}[/tex]

                                                         = 7.1 units

Ordered pair for arrow C → (-2, -6)

Distance between C and the bullseye = [tex]\sqrt{(0+2)^2+(0+6)^2}[/tex]

                                                               = [tex]\sqrt{40}[/tex]

                                                               = 6.32 units

Distance between C and the bullseye is the shortest.

Therefore, arrow C will be the best arrow.

Answer:

6.3 cm

Step-by-step explanation:

Simplify the expression.
4(-8x + 5) - (-33x - 26) =

Answers

Answer: x=-46

Step-by-step explanation:

Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):

4(-8x+5)-(-33x-26)=0

-32x+20+33x+26=0

1x+46=0

x=-46

Hope that helps!

Answer:

x+46

Step-by-step explanation:

I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.

Hope this helped!

4 (9x+6) = 36x - 7 what does x =

Answers

Since 24= - 7 is false , there is No solution

The perimeter of an equilateral triangle is 120mm.
State the length of one of its sides.

Answers

Answer:

[tex]40 \:mm[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

[tex]\frac{120}{3} =40[/tex]

Answer:

40mm

Step-by-step explanation:

Perimeter of an equilateral=3a

120=3a

a=120/3

a=40mm

sue's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when sue's gauge shows 39.42?

Answers

Answer:

36.5 is the answer

Hope this helps!

Step-by-step explanation:

Let the actual pressure be x

The actual pressure is 100% of x

The pressure is showing 8% more

So the pressure showing now is the actual pressure + the extra pressure

= 100%+8% = 108%

= 108/100

So the equation is:

108/100 x = 39.42

108x = 39.42*100

108x = 3942

x= 3942/108

= 36.5

Therefore the actual pressure is 36.5

Tarek reaches into a can that contains 30 25-fils coins, 25 10-fils coins, 40
5-fils coins and 15 1-fils coins. What is the probability that the first coin
he picks is a 25-fils coin or a 1-fils coin?

Answers

Answer:

9/22

Step-by-step explanation:

They are 30 25-fils coins, 25 10-fils coins, 40  5-fils coins and 15 1-fils coins.

The total number of fils coins = 30 + 25 + 40 + 15 = 110 coins

The probability of picking n-fils coin = number of n fils coin /  total number of fils coins.

Therefore:

The probability of picking 25-fils coin = number of 25 fils coin /  total number of fils coins = 30/110 = 3/11

The probability of picking 10-fils coin = number of 10 fils coin /  total number of fils coins = 25/110 = 5/22

The probability of picking 5-fils coin = number of 5 fils coin /  total number of fils coins = 40/110 = 4/11

The probability of picking 1-fils coin = number of 1 fils coin /  total number of fils coins = 15/110 = 3/22

The probability that the first coin  he picks is a 25-fils coin or a 1-fils coin = The probability of picking 25-fils coin + The probability of picking 1-fils coin = 3/11 + 3/22 = 9/22

What is the leading coefficient of 5-6x^4+8x^2-2x^3

Answers

Answer:

-6

Step-by-step explanation:

Rewrite the equation with the number that has the highest exponent in the front.

-6x^4 -2x^3 + 8x +5

The leading coefficient is the number beside the x value

In this case it is -6

Hope this helps plz mark brainliest!

Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi

Answers

Answer:

d=6

Step-by-step explanation:

Answer: diameter is 6

Step-by-step explanation:


Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?

Answers

Answer:

Figure A and B are still congruent to each other. the only change is the size of the shape.

Step-by-step explanation:

Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Suppose figure A underwent a dilation to produce figure B.

Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

Learn more about the triangle visit;

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WHOEVER IS THE FIRST ANSWER I'LL MARK THE BRAINIEST ANSWER!!!
Find the arc length of the partial circle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answers

Answer:

Step-by-step explanation:

find the circumference first

2π r

2π 8=16π

then find the arc length

16π  * 1/4

what are the domain and range of the function on the graph​

Answers

Where is the graph?
They are for pin pointing your begging and end points I’m pretty sure

rational numbers are always sometimes never natural numbers​

Answers

Answer:

Rational numbers are sometimes natural numbers​

Step-by-step explanation:

8 is a Rational number and is natural too

1/2  is a Rational number and but is not natural

How do I find value of X

Answers

Answer:

147°

Step-by-step explanation:

106°+139°+126°+141°+112°+129°+x =900°

753°+x = 900°

x = 900°-753°

x=  147° (sum of the interior angles of a heptagon=900°)

8. Solve for a:
p+q=2ab​

Answers

[tex]\text{Solve for a:}\\\\p+q=2ab\\\\\text{Since we want to solve for a, it needs to be by itself}\\\\\text{To do this, we have to divide both sides by 2b}\\\\\frac{p+q}{2b}=a\\\\\text{Now since A it's by itself, that'll be your answer}\\\\\boxed{\frac{p+q}{2b}=a}[/tex]

A professor must randomly select 4 students to participate in a mock debate.
There are 20 students in his class. In how many different ways can these
students be selected, if the order of selection does not matter?

Answers

Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

= (20*19*18*17)/4!

= 4845

Find m∠HIJ if m∠HIQ=25x+1 and m∠QIJ= 100 ∘ and m∠HIJ=127x−1, What is HIJ?

Answers

HIJ= 128 degrees

Explanation:
127x - 1 = 100 + 25x + 1
127x - 1 = 101 + 25x
-25x -25x
102x - 1 = 101
+1 +1
102x = 102
/102 /102

x = 1

A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?

Answers

Answer: 85/12 fewer bushels per acre

Step-by-step explanation:

Hi, to answer this question we have to write an expression with the information given and solve it:

We simply have to divide the total loss (21 1/4) by the number of acres (3):

Mathematically speaking:

21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre

Feel free to ask for more if needed or if you did not understand something  

The average loss per acre is [tex]7\frac{1}{12}[/tex]

The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres

[tex]21\frac{1}{4}[/tex] ÷ 3

In order to solve this question, the mixed number has to be changed to an improper fraction.

Steps to take :  

1. Multiply the whole number by the denominator ( 4 x 21 = 84)

2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)

3. divide the number gotten in the previous step by the denominator (85/4)

[tex]\frac{85}{4}[/tex] ÷ 3

= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]

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there are 48 cards in a pack and each card is either red or black.the ratio of the number of red cards to the number of black cards is 1:1.
8 red cards are removed from the pack
find the ratio of the number of red cards now in the pack to the number of black cards now in the pack

Answers

Answer:

2:3

Step-by-step explanation:

We know that there are 24 red and black cards in the 48 pack because their ratio is 1:1. When 8 red cards are removed we have 16 red and 24 black cards. The ratio of this is 16:24 which simplifies to 2:3.

The ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1

Calculation of ratio

The total amount of cards (red or black) in the pack is = 48

The ratio of the number of red cards to the number of black cards is = 1:1

The number of cards removed from the pack = 8

Therefore the total number of cards( red or black = 48 -8

= 40 cards

But to calculate the number of red card

= 1+1 = 2

40/2 = 20 red cards

The number of black cards

1+1 = 2

40/2 = 20 black cards

The ratio of red is to black cards = 20:20 or 20/20 = 1:1 or 1/1

Therefore the ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1

Learn more about ratio here:

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Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

Answers

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]

Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

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However,nonmedical items could have a reuse or recycle requirementEven though natural resources should be preserved, our prionty should bepeopleEven though people are important and should be treated respectfully, theenvironment shouldn't pay the price Method 1: Long Division (x^2+3x-43) / (x+8 PLEASE HELP! A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the survey are shown in the two-way table.Chantal is making a relative frequency table from this data.What operation should Chantal perform to determine the relative frequency of a person over 30 years old who prefers ocean swimming?Divide 239 by 609.Subtract 185 from 609, then divide by 609.Divide 185 by 609.Add 239 to 609, then divide by 609. Peggy had four times as many quarters as nickels. She had $2.10 in all. 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