A transformation is applied to a figure to create a new
figure. Which transformation does not preserve congruence?
O A reflection across the x-axis
O A translation 7 units down
O A dilation by a scale factor of 5
O A rotation of 90° clockwise

Answers

Answer 1

The only transformation that does not preserve congruence is a translation 7 units down

Transformation of figure

Transformation is the process of changing the position of an object on an xy-plane.

A reflection preserve the congruence since it only create a mirror image of the figure.

Dilation also preserve congruence since it only enlarges the given figure. The only transformation that does not preserve congruence is a translation 7 units down

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Related Questions

If answered correctly will give brainiest plz helpppppp!!!!!!

Answers

Answer:

50.29

Step-by-step explanation:

(25 1/7)/(22/7) = diameter

8 = diameter -->

4 = radius

4^2 pi = area

16pi=area

16*22/7 = area

352/7 = area

50.29 is (approx.) area

Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks 1/4 an ounce per second. Diego starts with 20 ounces and drinks 2/3 an ounce per second. 1. How long will it take Lin and Diego to finish their milkshakes?

Answers

Answer:

Lin = 48 seconds  

Diego = 30 seconds  

Step-by-step explanation:

Hi, to answer this question we have to divide the total ounces of drink by the amount that each one drank per second, for each case.

Mathematically speaking:

Lin = 12 ounces / (1/4) ounces/second = 12/ (1/4) = 48 seconds  

Diego = 20 ounces / (2/3) ounces/second = 20/ (2/3) = 30 seconds  

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

Lin = 48 seconds  

Diego = 30 seconds  

The calculation is as follows:

Lin = 12 ounces ÷ (1/4) ounces/second = 12 ÷ (1/4) = 48 seconds  

Diego = 20 ounces ÷ (2/3) ounces/second = 20 ÷  (2/3) = 30 seconds  

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Simplify.

1 – 2u + u + 4​

Answers

-1u + 5. The first thing to do is add like terms (-2u and u) (1 and 4). -2u + u is -1u or -u. 1 + 4 is 5. I hope this helps!!

A bag contains white marbles and blue marbles, 54 in total. The number of white marbles is 1 less than 4 times the number of blue marbles. How many white marbles are there?

Answers

Answer: There are 43 white marbles.

Step-by-step explanation:

t = total number of marbles = 54

w = white marbles = 4b - 1

b = blue marbles

54 = b + (4b - 1)

b + 4b = 5b

54 = 5b - 1

+1

55 = 5b

/5

11 = b

There are 11 blue marbles.

4(11) - 1

44 - 1 = 43

43 + 11 = 54, therefore our solutions are correct.

Answer:

43

Step-by-step explanation:

W = 4B - 1

W + B = 54

4B - 1 + B = 54

5B = 55

B = 11

W = 4(11) - 1

W = 43

Please help me. You must show all work

Answers

Answer:

21

Step-by-step explanation:

WILL MARK BRAINLIEST
Write the equation to represent a line that contains the point (1, -7) and a slope of -4.
y =

Answers

Answer:

y= -4x - 3

Step-by-step explanation:

Factor as the product of two binomials.
x^2 + 6x + 9 =

Answers

Answer:

(x + 3) (x + 3)

Step-by-step explanation:

This is because if you solve that, it would be x² + 3x + 3x + 9

Therefore it would equal x² + 6x + 9

Answer:

I need help on this one to its hard

Can someone do 11??? Please help I don’t want to fail my class

Answers

Answer: choice A) tan(Y) = 6/7 and tan(Z) = 7/6

Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides

tan(angle) = opposite/adjacent

For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,

tan(Y) = XZ/XY = 6/7

For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6

tan(Z) = XY/XZ = 7/6

We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.

00:00
In 1 hour, 32 cars pass through a particular intersection. At the same rate how long would it take for 96 cars to pass through the intersection?
A 2 hours
B. 3 hours
C
8 hours
D. 16 hours

Answers

Answer:

b,3 hours

Step-by-step explanation:

because you have 32 times 2 is 64 in 2 hours so that is not is so the times 8 is 256 in 8 hours so that is not it then times 16 is 512 so 512 in 16 hours that's not it so then times 3 it is 96 cars in 3 hours

HigherOrder thing name two rays with the same endpoint in the figure below. Do they form an angle? Explain.

Answers

Ray AC and Ray CA. Yes, they form an angle of 180 degrees because they are both on a straight line.

In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line and it extends infinitely in a single direction.

A line is a mark with length and direction, that is created by a point that is moving across a surface and extending infinitely.

By critically observing the figure shown in the image attached below, we can logically deduce that two rays with the same endpoint include:

Ray AC

Ray CA.

Complete Question:

Higher Order thinking Name two rays with the same endpoint in the figure below. Do they form an angle? Explain.

A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 19600?

Answers

The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

Step-by-step explanation:

The given is,

                       A person invests 9000 dollars in a bank      

                      The bank pays 4.25% interest compounded daily

                      Future amount $19600

Step:1

                     Formula to calculate the future investment with compounded daily,

                                                  [tex]A = P (1+\frac{r}{n})^{nt}[/tex]................................(1)

                   Where, A - Future amount

                                P - Initial investment

                                r - Interested rate

                                n - No.of times for a year

                                t - No.of years

Step:2

              From the given values,

                      A = $ 19600

                      P = $ 9000

                       r = 4.25 %

                      n = 365  ( ∵ Compounded daily )

           Equation (1) becomes,

                                        [tex]19600 = 9000(1+\frac{0.0425}{365})^{365t}[/tex]

                                         [tex]\frac{19600}{9000}= (1+0.000116438)^{365t}[/tex]

                                   [tex]2.177778=(1.000116438)^{365t}[/tex]

            ( Take log on both sides )

                               [tex]log 2.17778= log (1.000116438)^{365t}[/tex]

                               [tex]log 2.17778=( 365t)log (1.000116438)[/tex]

           Substitute the log values,

                                  [tex]0.338014 = (365t)(0.000050565)[/tex]

                                [tex]\frac{0.338014}{0.000050565}= 365t[/tex]

                                [tex]6684.6842 = 365t[/tex]

                                              [tex]t = \frac{6684.6842}{365}[/tex]

                                                 = 18.314

                                                 ≅ 18 years

                          No.of years, t = 18 years

Result:

              The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

It will take approximately 18.4years for the person to make 19600

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex] where:

A is the amount

P is the amount invested

n is the compounding amount

t is the time taken

Given the following parameters

A =  19600

P = 9000

r = 4.25% = 0.0425

n = 365 (compounded daily)

Substitute the given parameters into the formula to get the time "t"

[tex]19600 = 9000(1+\frac{0.0425}{365} )^{365t}\\2.1778 = (1+0.0001164)^{365t}\\2.1778 = (1.0001164)^{365t}\\log2.1778 = 365tlog(1.0001164)\\0.3380 = 0.0184t\\t = \frac{0.3380}{0.0184} \\t \approx 18yrs[/tex]

Hence it will take approximately 18.4years for the person to make 19600

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Translate this sentence into an algebraic inequality.x divided by the quantity y minus 9 is 18 or more.A.B.C.D.

Answers

Answer:

x/y-9 is grater than or equal to 18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x

___     ≥        18

y-9

Tried my best to write it out like it would show it written out.

. The equation d + 6400 = 3/1.3 x 10". 42
relates the distance d in kilometers of a
certain GPS satellite above the surface of
the Earth to the number of hours t it takes
the satellite to complete one orbit. The
average distance of this satellite above the
surface of the Earth is 20, 100 kilometers.
To the nearest hour, how long does it
take the GPS satellite to complete one
orbit of the Earth?

Answers

The satellite's speed is approximately 45,216 kilometers per hour.

Calculating the Satellite's Speed

To find the satellite's speed in kilometers per hour, we can follow these steps:

1. Calculate the total distance traveled in one orbit:

The satellite's orbital distance is the circumference of its circular orbit around the Earth.

Circumference = 2 * π * radius

where:

π (pi) is a mathematical constant approximately equal to 3.14159

radius = distance from the satellite to the Earth's center = 6400 km + 2000 km = 8400 km

2. Calculate the orbital period in seconds:

We know the orbital period is 12 hours, but we need it in seconds for our calculations.

Convert hours to seconds: 12 hours * 60 minutes/hour * 60 seconds/minute = 43,200 seconds

3. Calculate the speed:

Speed = distance / time

Speed = total distance / orbital period

Speed = (2 * π * radius) / orbital period

Speed = (2 * 3.14159 * 8400 km) / 43,200 seconds

Speed ≈ 12.56 km/s

4. Convert speed to kilometers per hour:

Speed = 12.56 km/s * 3600 seconds/hour = 45,216 km/hr

Therefore, the satellite's speed is approximately 45,216 kilometers per hour.


The probable question can be: A satellite has recently been placed in a nearby circular orbit 2000 kilometers above the earth surface. Given that the radius of the earth is approximately 6400 kilometers and that the satellite completes its orbit in 12 hours, CALCULATE THE SPEED OF THE SATELLITE IN KILOMETERS PER HOUR.

You are charged $16.7 in total for a meal. Assuming that the local
sales tax is 7.6%, what was the menu price of this item?
*How would I work this out I keep getting 15.43 but that’s not correct

Answers

the price before tax is $15.52

Final answer:

To find the menu price of an item after a total charge of $16.7 with a 7.6% local sales tax, calculate the total sales tax amount and then deduct it from the total cost to obtain the menu price of $15.43.

Explanation:

To find the menu price of the item after being charged $16.7 in total for a meal with a 7.6% local sales tax:

Calculate the sales tax amount: 7.6% of $16.7 = $1.27

Subtract the sales tax from the total cost: $16.7 - $1.27 = $15.43

Therefore, the menu price of the item was $15.43. Make sure to round off correctly based on the question requirements.

What is the y-intercept in the equation “y=4x-3”?

Answers

The y-intercept is always the number at the end of a standard slope equation, so in your case, it’s - 3

What is the radius of a base?
3 units
6 units
10 units
| 12 units

Answers

Answer:

Didn't give enough information..

Step-by-step explanation:

need to see the circle if need help ill give answer.

what's the least common denominator of 5/6 2/3 and 3/5?​

Answers

Answer:

30

Step-by-step explanation:

6*5= 30

3*10=30

5*6=30

C) 0.2(x + 5) + 1 = 7​

Answers

Answer:

x = 25

Step-by-step explanation:

Given

0.2(x + 5) + 1 = 7 ( subtract 1 from both sides )

0.2(x + 5) = 6 ( divide both sides by 0.2 )

x + 5 = 30 ( subtract 5 from both sides )

x = 25

The answer X= 25 am sure

Estimate a 15% tip on a dinner bill of 31.51 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer: The estimated 15% tip would be $4.50.

Step-by-step explanation: Basically, first you will need to round the bill amount, $31.51 to the nearest ten dollars. 31.51 rounded to the nearest ten dollars is $30. Next, you will need to find the estimated tip amount. To do this multiply $30 by the tip 15%. Before you can find the tip amount, you will need to covert 15% to a decimal. To convert 15% to a decimal, divide 15 by 100 to get 0.15. Now, you can multiply 30 by 0.15 to get 4.50. So, $4.50 would be the tip if $31.51 was rounded to the nearest ten dollars.

If a car has already traveled 10 miles and then continues for
another 6 hours at a steady rate of 30 miles per hour, how
many total miles will it have traveled?
miles

Answers

Answer:

190

Step-by-step explanation:

PLEASE MARK BRAINLY

190 30x6=180+10=190

Evaluate:
© 20
© 20.8
O 24
DONE

Answers

Answer:

24

Step-by-step explanation:

1. 24

2. 0

3. a [4.9] and [3.1]      and      c [-6] and [-6]

4. edge answer: The statement is not true for all real numbers. It is only true for decimal or fractional values of x . If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1. Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.

5. edge answer: There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are on the right.

6. all real numbers

7. all multiples of 4

8. multiples of 8 greater than 0

9. 3

10. real numbers ≥ 0

11. integers ≥ 0

12. f(x)=2.50[x-1]

here's your reminder to fix your posture (you know you're slouching, that'll hurt your back when you're old lol) and go get some water! hydration is best because your body uses it to regulate body temperature, keep joints lubricated, prevent infections, deliver nutrients to cells, and keep organs functioning properly. being well-hydrated also improves sleep quality, cognition, and mood! also, if you don't drink water for 3-21 days (depends on age and body and stuff) you'll die. so there's that too.

summary of that ^ fix your posture and drink some water <3

Total savings
Misumi started with $217 in her bank account. She deposits
$25.50 each week and never withdraws any money. What
expression can Misumi use to determine her account balance
after w weeks?

Answers

Answer:

y=$25.50w+$217

w=10 weeks

$25.5(10)+$217

$255+$217

$472=y

you never said how many weeks only w weeks

A cylinder has has a volume of 1884 cm cubed. Find the volume of a cone with the same radius and height as the cylinder.

Answers

Answer:

The volume of the cone with the same radius and height as the given cylinder is approximately [tex]\(459.325 \, \text{cm}^3\)[/tex].

Explanation:

To find the volume of a cone with the same radius and height as the given cylinder, we'll use the formula for the volume of a cone:

[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]

Given that the cylinder has a volume of 1884 cm³, and the radius [tex](\(r\))[/tex] and height [tex](\(h\))[/tex] of the cone are the same as the cylinder, we can first find the radius and height of the cylinder.

The volume of the cylinder is given by:

[tex]\[ V_{\text{cylinder}} = \pi r^2 h \][/tex]

Given [tex]\(V_{\text{cylinder}} = 1884 \, \text{cm}^3\)[/tex], we can solve for [tex]\(r^2 h\)[/tex], the product of the square of the radius and the height:

[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]

Now, we need to find the radius and height of the cylinder. Since we're told that the cone has the same radius and height as the cylinder, we can use these values for the cone as well.

[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]

Given that [tex]\( r = h \)[/tex], we can substitute [tex]\(r\)[/tex] for [tex]\(h\)[/tex] to get:

[tex]\[ r^3 = \frac{1884}{\pi} \][/tex]

[tex]\[ r = \sqrt[3]{\frac{1884}{\pi}} \][/tex]

Now that we have the value of [tex]\(r\)[/tex], we can find the volume of the cone using the formula for the volume of a cone:

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \sqrt[3]{\frac{1884}{\pi}} \right)^2 \left( \sqrt[3]{\frac{1884}{\pi}} \right) \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884}{\pi} \right)^{2/3} \left( \frac{1884}{\pi} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^2 \cdot 1884}{\pi^2} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^3}{\pi^2} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{671161856}{9.869604401} \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \left( 67968372.82 \right)^{1/3} \][/tex]

[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \cdot 438.327 \][/tex]

[tex]\[ V_{\text{cone}} \approx 459.325 \, \text{cm}^3 \][/tex]

What is the mean of the following numbers?
5, 7, 2,9,5

Answers

Answer:5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

[tex] \frac{5 + 7 + 2 + 9 + 5}{5} = \frac{28}{5} = 5.6[/tex]

Which equation is true for triangle QRS? StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (Q) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 2.4 EndFraction = StartFraction sine (S) Over 3.5 EndFraction StartFraction sine (100 degrees) Over 24 EndFraction = StartFraction sine (Q) Over 3.5 EndFraction

Answers

Answer:

it's a

Step-by-step explanation:

Final answer:

Without more information on triangle QRS, the potential true equations could be 'sin(100 degrees) / 3.5 = sin(S) / 2.4' and 'sin(100 degrees) / 2.4 = sin(Q) / 3.5' based on the law of sines.

Explanation:

The question is asking which equation formed by the law of sines is true for the triangle QRS. As it is not completely clear from the given data, let's apply the law of sines in a general form for triangle QRS: sin(Q)/QR = sin(R)/RS = sin(S)/SQ. Comparing this to the provided options we could suggest that the correct equation could be: sin(100 degrees) / 3.5 =  sin(S) / 2.4 and sin(100 degrees) / 2.4 = sin(Q) / 3.5. These are possibilities if we assume that the angle at Q is 100 degrees and the lengths of the sides opposite these angles are 3.5 and 2.4 respectively. However, without more specific information about triangle QRS, these conclusions are speculative.

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Which of the following are statistical questions? Select all.

A.When is your birthday?

B.What is the height of the Willis Tower in Chicago?

C.How many points did the basketball team score each game last season?

D.Do you have any pets?

E.What is the least amount of snow in one month last year?

F.What is the speed limit?​

Answers

c and e because statistical questions can be answered by collecting data that can have variability.

Ryan would like to save 15% of his take-home pay towards retirement. How much should
he save each month if he makes $5,000 each month?
$750
$1125
$75
$75,000

Answers

15%=0,15

5000×0,15=750$

Answer: He should save $750

11. An amusement park charges $45 per person for admission. A season pass
costs $112 per person.
a. Write the first five terms of an arithmetic sequence that represents the
total cost of admission for the number of visits in a season.
b. How many times does a person have to visit the park for a season pass
to be the better deal? Explain.

Answers

Final answer:

To represent the total cost of admission for the number of visits in a season, an arithmetic sequence can be created with a common difference of $45. The cost of admission for the first visit is $45, and the sequence can be extended to five terms. To determine when a season pass becomes the better deal, compare the total cost of admission with the cost of a season pass. A person would have to visit the park at least 3 times for a season pass to be the better deal.

Explanation:

a. To represent the total cost of admission for the number of visits in a season, we can create an arithmetic sequence. The common difference will be the cost of admission each time a person visits the park, which is $45. The first term can be the cost of admission for the first visit, which is also $45. So, the arithmetic sequence will be:

Total: $45Total: $90Total: $135Total: $180Total: $225

b. To find out how many times a person has to visit the park for a season pass to be the better deal, we need to compare the total cost of admission for the number of visits with the cost of a season pass. In this case, the season pass costs $112 per person, so we need to find the number of visits that would equal or exceed the cost of a season pass. From the arithmetic sequence we created in part a, we can see that a person would have to visit the park at least 3 times for the total cost of admission to equal or exceed the cost of a season pass. Therefore, a person would have to visit the park at least 3 times for a season pass to be the better deal.

Factor the following and remember to factor out any common factors first.

x^2+8x+15

Enter the factors separated by semicolons. ( ; )

Answers

Answer:

(x+5) (x+3)

Step-by-step explanation:

x^2+8x+15

What two numbers multiply to 15 and add to 8

5*3 = 15

5+3 = 8

(x+5) (x+3)

Find the area of a circle with a diameter of 16.Answer as a decimal

Answers

Answer:

201.06

Step-by-step explanation:

This is because the formula of the area of a circle is A=(pi)(r) squared

Since the radius if half of the diameter, the radius would then be 8.

8 squared, or 8 x 8 = 64.

64 times pi (64 x 3.14159)= 201.06

Other Questions
When most of us drive cars, we often become frustrated at other drivers for a variety of reasons, such as cutting us off, driving too slowly, tailing us too closely, etc. From the perspective of our course materials, why do these things frustrate us? Which of the following is NOT a true statement? a. Many people feel that seeking psychotherapy is an admission of personal weakness. b. The two most common problems that lead to psychotherapy are sexual problems and depression. c. People seeking psychotherapy dont always have identifiable disorders. d. Women seek psychotherapy more than men. Suive the equation.3(k - 6) = 15 Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = , and d2 = 2r into the proportion.StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFractionWhich shows how to correctly solve for C2, the circumference of any circle with radius r?A. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r piB. Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction , 2 = StartFraction 2 r Over pi EndFractionC. Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFractionD. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi which is the value of this expression when m equals 3 and n equals -5(6m with exponent of -1 x n with the exponent of 0) another exponent of -3 Carlos's Performance Pizza is a small restaurant in Chicago that sells gluten-free pizzas. Carlos's very tiny kitchen has barely enough room for the three ovens in which his workers bake the pizzas. Carlos signed a lease obligating him to pay the rent for the three ovens for the next year. Because of this, and because Carlos's kitchen cannot fit more than three ovens, Carlos cannot change the number of ovens he uses in his production of pizzas in the short run. Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant ofproportionality exists such that y = kx2.Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.What is a safe load if the depth of the beam is 10 inches?800 pounds4,000 pounds10,000 pounds What is the value of the expression when x = -2? Wassenaar worked for Panos under a three-year contract stating that if the contract were terminated wrongfully by Panos before the end of the three years, he would pay as damages the salary for the remaining time that the contract had to run. After three months, Panos terminated the contract, and Wassenaar sued him for pay for the balance of the contract term. Panos claimed that this amount could not be recovered because the contract provision for the payment was a void penalty. Was this provision valid? LEnfants temper caused him to get fired in 1792 32 POINTS! During the Industrial Revolution, explain what caused the population of light-colored peppered moths to decrease and the population of dark-colored peppered moths to increase over time. Be sure to include how the ability to survive and reproduce impacts the process of natural selection. For each line from the speech identify the rhetorical technique that King is using"I have a dream" "The table of brotherhood""Sweltering with the heat of oppression."The options for each line are A: metaphorB: ConnotationC: repetitionThank you! Why was logging an important part of the colonial economy? A. American Indians needed lumber for housing. B. Great Britain needed lumber for their navy. C. Spanish settlers bought a great deal of wood. D. France made most of their goods from wood. 5. There are 60 students in a class. The number of girls is three times the number of boys. How many girls are inthe class? 8 cm10 cm3 cmWhat is the volume of the right rectangular prism? Select all the correct answers.Which two sentences describe characteristics of a sole proprietorship?A). The owners are called partners.B). The owner accepts full financial liability.C). The business is treated as a separate tax entity.D). All profits go to the individual who owns the business. A square pyramid has a base area of 25 square inches, and a volume of150 cubic inches. What is the height of the pyramid in inches? * 10) Stephanie spent half of her weeklyallowance buying pizza. To earn moremoney her parents let her weed the gardenfor $4. What is her weekly allowance ifshe ended with $8? In the middle of the night, you are dispatched for the report of a sick person at the bus stop at the corner of Pennsylvania Avenue and 6th street. As you arrive on the scene, you find a middle aged man pacing back and forth at the bus stop. He is shouting that he needs to go to Albuquerque tonight to stop his pain. He then asks you why you are there. What types of conditions contribute to or cause a situational Crisis? What are the four phases of a situational crisis? What are the three communication tools you can use to help communicate with this patient? Which expression represents the volume of the coneIn the derivation of the formula for the volume of a cone,the volume of the cone is calculated to be 4 times thenevolume of the pyramid that it fits insidethat is 4 times the volume of the pyramid that it fitsinside?