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.
Answers
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
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Explanation:
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]
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
please help me on this
Answers
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)
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.
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.
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
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
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
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.
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
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.
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.
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
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
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.
I need this answer quick!
Answers
Answer:
Um we can’t see anything it’s just white
Step-by-step explanation:
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
ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!!
Which graph shows a non-proportional tinear relationship between x and y
A
с
B
D
Answers
6 divided by 1/4 ? Answer it please
Answers
Answer:
the correct answer 24 i looked it up
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
:
n<-4/3
:
0<2
Someone help me please I will mark brainiest.
Answers
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
What is the simplified expression of 14 – 8 + 4 × 11 ÷ 22 + 6 – 11?
Answers
Answer:
your answer will be 3
Step-by-step explanation:
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!!!
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:
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
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:
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
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.