Which unique sequence of rigid motions maps quadrilateral ABCD to quadrilateral EFGH?
6
5
A
IB
x
634
1 2 3 4 5 6
E
G
A
A reflection over the x-axis followed by a translation of (z,y) → (2, y - 4).
B. A reflection over the y-axis followed by a translation of (1,y) → (I, y-6).
C. A translation of (I, y) + (1, y-3) followed by a reflection over the y-axis.
A translation of (€,y) → (3-6, y) followed by a reflection over the x-axis.

Which Unique Sequence Of Rigid Motions Maps Quadrilateral ABCD To Quadrilateral EFGH?65AIBx6341 2 3 4

Answers

Answer 1

Answer:

The unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are;

B. A reflection over the y-axis followed by a translation of (I, y) → (I, y - 6)

('I' is the image of 'x' after reflection)

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral ABCD are;

A(-5, 4), B(-2, 4), C(-2, 1), and D(-5, 2)

The coordinates of the vertices of the quadrilateral EFGH are;

E(5, -2), F(2, -2), G(2, -5), and H(5, -4)

By analysis, we have;

The signs of the x-coordinate of the preimage and the image are opposite, therefore, one of the rigid motions is a reflection across the y-axis

Similarly, the common difference between the y-coordinate values of the image and the preimage are;

-2 - 4 = -6

-2 - 4 = -6

-5 - 1 = -6

-4 - 2 = -6

The common difference between the y-coordinates of the image and the preimage is -6, therefore, the y-values are obtained by a translation of y - 6 units

Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are a reflection over the y-axis followed by a translation of (I, y) → (I, y - 6).


Related Questions

4 more than twice a number is less than the opposite of the number

Answers

Answer:

x=1

Step-by-step explanation:

2n+4<-n

:

2n+n+4<0

:

3n<-4

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n<-4/3

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0<2

Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.

Answers

Answer:

Raja made an error in d equality sign in d answer

Step-by-step explanation:

-3x< or =6

when dividing both sides by -(negative)3, the sign 4 d answer changes

x > or = -2

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Answer: 7/8

Step-by-step explanation:

There are 8 tickmarks on the number line, each representing 1/8.

So, the question mark represents 7/8 (since it is one tickmark to the left of 1)

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: true

Explanation:

A student records the repair cost for 17 randomly selected TVs. A sample mean of $73.10 and standard deviation of $16.01 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

49.34 i think

Step-by-step explanation:

2. Which of the following is considered an
asset?
A Savings account
B Credit card debt
C Personal loan
D Mortgage

Answers

Answer:

A

Step-by-step explanation:

All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.

The answer is A, the rest you have to pay for.

2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years

Answers

Answer:

A = 642.01

Step-by-step explanation:

Given:

P = 500

r = 2.5% or 0.025

t = 10

Work:

[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]

A test was done to look at the maximum speed of mopeds. They found that the maximum speed had a normal distribution with a mean of 29 mph and standard deviation of 1.4 mph. Consider randomly selecting a moped.
a. What is the probability that the maximum speed is at most 31 mph?
b. What is the probability that the maximum speed is at least 29.8 mph?
c. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?
d. Suppose we select 49 mopeds, what is the probability that the sample mean will be at least 29.5 mph?

Answers

Answer:

C

Step-by-step explanation:

Which pair of ratios is proportional?

A. 3 ft : 8 sec and 5 ft : 11 sec

B. 6 yd : 10 mi and 18 yd : 30 mi

C. 3:25 and 5:50

D. 6 in. : 8 min and 3 min : 2 in.

Answers

The answer is = d due to the proportional

Please help i dont understand

Answers

Answer:

100 for the square

217.81 for the entire firgue

Step-by-step explanation:

For the square it's bh so do that formula

A = 10x10

A = 100

then for the semicircles that's half of a circle do the area of a circle formula and then multiply by half

A = 3.14×25

A = 78.54×0.5

A = 39.27

since we have 3 of them we are going multiply that by 3.

39.27 × 3 = 117.81

then we add them all up

117.81 + 100 = 217.81

Original price New price Calculation Converted to fraction over 100 % change
$20
$16
20 - 16
20
=
4
20
4 20
20 100
$20
$15

Answers

Answer:

1.20%

2.25%

Step-by-step explanation:

in 2.i converted to fraction over 100 and I've changed to percentage.I think that's what you needed hope it helps.

Drag the numbers to create three ratios that are equivalent to 4:12. Each number may be used once or not at all.

Answers

Answer: 20:60, 12:36, 2:6

Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.

Marsha will deposit $5,000 into an account for 10 years. What is the interest earned for 5%?

Answers

Answer:

$2,500

Step-by-step explanation:

I = Prt

Given:

P = 5000

r = 0.05

t = 10

Work:

I = Prt

I = (5000)(0.05)(10)

I = 250(10)

I = 2500

find the product
X5.X4.X3 ​

Answers

Answer:

= X¹²

Step-by-step explanation:

According to law of indices

a^m * a^n = a^{m+n}

Hence;

X5.X4.X3 ​

= X⁵⁺⁴⁺³

= X¹²

Note that all the powers are added since it is multiplication

plz help i will give brainliest plzzz

Answers

Answer:

3 more red marbles

Step-by-step explanation:

When you add up all of the marbles, there are 13 marbles.

The objective is to have the probability of selecting a blue marble from the bag to be 1/4. Since there are 4 blue marbles and 4 is 1/4th of 16, 16-13 is 3 so you add 3 more red marbles to have that chance.

I hope this helps!!!

How many square feet of wallpaper are required to cover the wall surrounding the window?

Answers

Answer:

between C and D

im going to say C to be safe tho

Answer: 131 ft^2

Step-by-step explanation:

the window is 77 ft and the wallpaper is 208 ft

so you subtract 77 from 208 and your answer will be 131.

Evan has $4,600 to deposit into two savings accounts.
• Evan will deposit $2,000 into Account I, which earns 5% interest, compounded annually.
• Evan will deposit $2,600 into Account II, which earns 4% annual simple interest.
In 3 years, which account will produce more interest, and by how much?

Answers

Answer:

The second one by 4 dollars

Step-by-step explanation:

Find the difference

I need this answer quick!​

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Answer:

Um we can’t see anything it’s just white

Step-by-step explanation:

What is the simplified expression of 14 – 8 + 4 × 11 ÷ 22 + 6 – 11?

Answers

Answer:

your answer will be 3

Step-by-step explanation:

Someone help me please I will mark brainiest.

Answers

The volume would be 200

Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.

Answers

Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.

Answer:

Step-by-step explanation:

this is called  "monotonically decreasing"    as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero,  the number gets smaller and smaller.... it approaches zero is what happens.

How can I Write X^2 + 18 + 81 In factored form?

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's simplify step-by-step.

x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Combine Like Terms:

= x ^ 2 + 18 + 81

= ( x ^ 2 ) + ( 18 + 81 )

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!!

Which graph shows a non-proportional tinear relationship between x and y
A
с
B
D

Answers

B since all the others are proportional

Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?

Answers

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

Answer:

1 4/5 meters

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

What type of angles are 4 and 5? Refer to the image attached pls

Answers

Answer:

alternate interior angles

Step-by-step explanation:

Answer:

alternate interior angles

Which two integers is √123 between?

Answers

9514 1404 393

Answer:

  11 and 12

Step-by-step explanation:

√123 ≈ 11.0905 lies between 11 and 12.

__

Since you're familiar with your squares, you know ...

  11^2 = 121

  12^2 = 144

123 lies between 121 and 144, so √123 lies between 11 and 12.

A buoy is constructed out of the bottom half of a sphere with a cone on top. The radius of the sphere and the radius of the cone is 6 ft. The height of the buoy is 10 ft. What is the volume of the buoy?
Enter your answer, in exact form, in the box.

Answers

Answer:

The correct answer is 192pi

Step-by-step explanation:

I took the test and this was the correst answer

Composite shapes are made up of two or more shapes. The required volume of the composite shape in exact form is 498π cubic feet

How to calculate the volume of composite shapes?

Composite shapes are made up of two or more shapes. According to the given question, the buoy is made up of a cone and sphere.

The volume of the buoy = volume of sphere + volume of the cone

Find the volume of the sphere

Vs = 4/3πr³
Vs = 4/3π(6)³
Vs = 288π cubic feet

Find the volume of the cone

Vc = 1/3πr²h
Vc = 1/3π(6)²(10)
Vc = 120π cubic feet


Volume of the buoy =  288π + 120π
V = 498π cubic feet

Therefore the required volume of the buoy in exact form is 498π cubic feet

Learn more on volume of composite shape here: https://brainly.com/question/12693294

6 divided by 1/4 ? Answer it please

Answers

Answer:

the correct answer 24 i looked it up

In a study conducted by the US department of Health and Human Services, a sample of 546 boys aged 6-11 was weighed, and it was determined that 87 of them were overweighted. A sample of 508 girls aged 6-11 was also weighed, and 74 of them were overweighted. (a) Find a 90% confidence level for the difference of overweight proportion for aged 6 -11 between boys and girls. (b) Can you conclude that the proportion of overweight boys is higher than the proportion of girls who are overweight? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?

Answers

Answer:

a) CI = ( - 0,0087 ; 0,0355)

b) No CI contains 0 meaning that statistically the proportions could be equal

Step-by-step explanation:

Boys Sample

Size sample   n₁  = 546

x₁ = 87

proportion   p₁  = 87/546     p₁ = 0,159       p₁  =  15,9 %

Girls sample

Size sample   n₂  = 508

x₂ = 74

proportion  p₂  =  74 / 508     p₂ = 0,1456   p₂  = 14,56 %

Hypothesis test:

Null hypothesis                    H₀              p₁  =  p₂

Alternative Hypothesis       Hₐ              p₁  ≠  p₂

Confidence Interval  CI = 90 %   significance level  α = 10 %

α = 0,1    and as the alñternative hypothesis indicates is a two-tail test

then α/2 = 0,05

z(score)  for 0,05 is from z table   z(c) = 1,64

Confidence Interval 90 % is:

CI = [( p₁ - p₂) ± z(c) *  √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

CI = 0,0134 ± √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

CI = 0,0134 ± 0,0221

CI = ( - 0,0087 ; 0,0355)

CI  contains  0 meaning that difference between the groups could be 0

Therefore we can conclude that  proportion on both groups are different. We can´t reject H₀

We need to calculate z(s)

z(s) = [ p₁ - p₂ ] / √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

z(s) = [ 0,159 - 0,1456] / √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

z(s) = 0,0134/ √0,1294 ( 0,0018 + 0,00196 )

z(s) = 0,0134/ √0,1294 ( 0,0038)

z(s) = 0,0134/ 0,0221

z(s) = 0,61

p-value for  z(s) = 0,61      p-value = 0,7291

p-value > 0,05

As p-value is bigger than 0,05 we have to accept H₀. We don´t have enough evidence to claim any difference between the two groups

can someone help me ​ please

Answers

9514 1404 393

Answer:

  1. 5000

  2. the year is 2003

  3. > 1000; evaluate the function

Step-by-step explanation:

1. The value of t is "years since 2005." In 2005, the value of t is zero. To find the model's prediction for 2005, substitute t=0.

  p = 5000·2^0 = 5000·1

  p = 5000 . . . . in 2005

__

2. When t=-2, it means you're concerned with the population 2 years before 2005. That is, you are modeling the population in 2003.

__

3. Evaluate the function for t=-2:

  p = 5000·2^(-2) = 5000·1/4 = 1250

For t=-2, the fish population is 1250, which is more than 1000.

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