Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point B prime 270 degrees to form triangle A double-prime B double-prime C double-prime.
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?




Answers

Answer 1

Answer:

it is D trust me

Step-by-step explanation:

Answer 2

Answer:

the answer is d

Step-by-step explanation:

the way you can figure this out is by looking at the figures and finding what transformation came first because of the number of prime notations on a letter in a figure. in this case is was ABC first then A'B'C' then A''B''C''

using that we can now determine the order of how the composition will be written. the first step of the composition is the left most part and the last part of the composition is the right most part. basicly the order is left to right.

we see that figure ABC is reflected across the line m to create the figure A'B'C' relections are written like r for the relection and the sub letter is the line the figure is reflected across to in this case it would be written as r sub m meaning that r sub m is the 2nd part of the composition.

the 2nd step in the composition is when figure A'B'C' turns into figure A''B''C'' the way we find out its transformation is determine whether it was slid or if it was rotated aroound a point of rotation. here we have a rotation. now we got to determine what the center of roation is. in this case its B'. looking at the options there is no negative -90 degrees which means that the rotation happened counter clockwise because all valuse are positive. counter clockwise is to the left. now simple math figure A'B'C 180 degrees would make it need 90 more degrees so 180+90=270 thats the degree of the roation around point B'

rotations are written as R sub point of rotation, __ degrees. in our case it is r sub B', 270 degrees. this is the second step so it will be on the right of the equation.  the full equation turns out to be R sub B', 270 degrees composition of transformations r sub m.

it must be that way because if you rotated the figure first then reflected it it would look like an entirely different image.

pls give brainliest


Related Questions

A pice of lumber 2 1/4 feet long is to be cut into 3 equal pieces. How long will each piece be? Give the measurements in feet and inches.​

Answers

Answer: The required length of each piece of wood is  or 9 inches.

Step-by-step explanation:  Given that a piece of lumber is  feet long is to be cut into 3 equal pieces.

We are to find the length of each piece of wood in feet and in inches.

We will be using the UNITARY method to solve the given problem.

The length of 3 pieces of wood is equal to  

Therefore, the length of each piece of wood will be

Thus, the required length of each piece of wood is  or 9 inches.

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.

Answers

Answer:

The probability is   [tex]P(X  >300 ) = 0.97219 [/tex]

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    [tex]p = 0.96[/tex]

Generally the mean is mathematically represented as

    [tex]\mu  =  n*  p[/tex]

  => [tex]\mu  =  320 *  0.96[/tex]

    => [tex]\mu  = 307.2[/tex]

Generally the standard deviation is  

    [tex]\sigma =  \sqrt{n *  p *  (1 -p ) }[/tex]

=>  [tex]\sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }[/tex]

=> [tex]\sigma =3.50 [/tex]

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  [tex]P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )[/tex]

Here [tex]\frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )[/tex]

=>[tex]P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )[/tex]

Now applying  continuity correction we have

    [tex]P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )[/tex]    

=>    [tex]P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )[/tex]

=>    [tex]P(X  >300 ) =  P(Z >  -1.914 )[/tex]

From the z-table  

    [tex]P(Z >  -1.914 ) =  0.97219[/tex]

So

    [tex]P(X  >300 ) = 0.97219 [/tex]

Find atleast 5 numbers between 1/2 and 1/3.

Answers

Answer:

12.2 12.3 12.4 12.5

Step-by-step explanation:

Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transformations could be used to support Maggle's claim? Select all that apply.
reflection over the side RS
a translation of 10 units to the right
a rotation of 90' clockwise about vortex Q
a vertical stretch of scale factor 2 through contor C
a dilation of scale factor 1 through conter

Answers

Answer: B,D,E. Step-by-Step explanation

Transformation that preserve lengths are rigid transformation.

The options that support Maggie's claim are:

reflection over the side RS a translation of 10 units to the right a rotation of 90' clockwise about vortex Q  

All transformations are rigid transformation, except dilation.

Dilation are of two types

StretchCompress

Either of the two above, do not preserve length

This means that:

Options (d) and (e) will not preserve the lengths of the rectangle, because they represent dilation

Hence, the correct options that will preserve the length of the rectangle are: (a), (b) and (c)

Read more about transformation at:

https://brainly.com/question/13801312

What is 6√2⋅√11−2√22 expressed in simplified form?

Answers

Hope this help you!!! :))


Write 9/18 as a decimal. Identify the decimal as terminating or repeating.
a. 0.5; repeating
b. 0.9; terminating
c. 0.5; terminating
d. 1; repeating

Answers

Answer:

it is c

Step-by-step explanation:

Answer:

C.) 0.5; Terminating

Step-by-step explanation:

Answer:

918=0.5

Showing the work

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 18 using

GCF(9,18) = 9

9÷918÷9=12

We know that

12

is the same as

1÷2

Then using

Long Division for 1 divided by 2

=0.5

Hope I helped

Brainliest plz

Please help me answer the question in the photo! Will give brainlist :)

Answers

Answer:

the answer is B because it make a 90* angle

Answer: I would say it is C

sorry if I am wrong in advance.

2. Which of the following is an irrational number?
A. 3
B. 3.5
C. 36
D. 15

Answers

3.5 because a decimal is irrational, a whole number is natural.

Answer:

C. 36

because can not be expressed as a ratio

This is a 2x2 identity matrix:
True
Or
False

Answers

Answer:

i think it is false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

An identity matrix has a 1 in each position of the main diagonal (diagonal from upper left to lower right) and zeros elsewhere. This matrix has the 1s and 0s in the wrong places to be an identity matrix.

This is what a 2x2 identity matrix looks like:

[tex] \begin{bmatrix}  1 & 0\\  0 & 1\end{bmatrix} [/tex]


HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS


An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an
equation that represents this situation is d-50t.

Enter the smaller of the two constants of proportionality.

Answers

Answer:

t=8

Step-by-step explanation:

400 divided by 50 hopefully that helps with your question

2
[tex] 2 \times 2[/tex]

Answers

FOUR FOUR FOUR FOUR FOUR FOUR FOUR 2*2=FOUR

Answer:

4

Step-by-step explanation:

2 × 2 = 4

which of the following choices is equal to 22+36

Answers

Answer:

58

Step-by-step explanation:

This question only for JungKookLuver and JungKookLuver.... is this right...

Answers

Answer: Yes it is right.

Step-by-step explanation: Have a blessed day!

Answer: Yes, it’s correct!

Step-by-step explanation: Have A Great Day Bro! :)

ASAP Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27. What did he write? please show your work YOU CAN GET BRAINLIEST

Answers

Answer: its 3( 15+9 ) or 9( 5+3 ) go with your gut im srry if im wrong

Step-by-step explanation:

Daichi wo fumishimete

Kimi wa mezameteiku

Please help ASAP!!! Will give brainlist!

Answers

Answer:

the last 1

Step-by-step explanation:

How many edges are there on a cylinder?

Answers

Answer:

There are 0 number of edges on a cylinder

Determine the midpoint of the segment with endpoints of (-3, 8) and (-3,
-2).

Answers

Answer:

(-3,3)

Step-by-step explanation:

FOR EXAMPLE:

Christa and her family went out for pizza and it cost $28. In Tennessee we have a sales tax that is 7% which has to be paid along with $28. What is the sales tax on $28?

Answers

7% of 28$ is $1.96. Hope that helps

The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).

Answers

Answer:

(x-14)^2+(y-3)^2=9

Step-by-step explanation:

equation of a circle is (x-h)^2+(y-h)^2=r^2

so center is (14,3) and is tangent externally means

(x-14)^2+(y-3)2=3^2

(x-14)^2+(y-3)^2=9 answer

The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

The standard formula for finding the equation of a circle is expressed as:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where

(a, b) is the centre

r is the radius

Given the center at (14, 3)

If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3

Substitute the radius and the centre into the expression above to have:

[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]

Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

Learn more here: https://brainly.com/question/24217736

In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5. What is the weight of silver in the alloy if there are 18g of gold?

Answers

Answer:

45

Step-by-step explanation:

equate the two equations

2/5=18/x

Answer:

45grams

Step-by-step explanation:

f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).

Answers

Answer:

(f - g)(x) = -x - 6

(f + g)(x) = 3x - 4

(f*g)(4) = -9

Step-by-step explanation:

These are your equations:

f(x) = x - 5

g(x) = 2x + 1

To find (f - g)(x), subtract g(x) from f(x).

(f - g)(x) = x - 5 - (2x + 1)

(f - g)(x) = x - 5 - 2x - 1

(f - g)(x) = -x - 5 - 1

(f - g)(x) = -x - 6

To find (f + g)(x), add f(x) with g(x).

(f + g)(x) = x - 5 + 2x + 1

(f + g)(x) = 3x - 5 + 1

(f + g)(x) = 3x - 4

To find (f*g)(4), you need to first find (f*g)(4).  You can do this by multiplying f(x) wih g(x).

(f*g)(x) = (x - 5)(2x + 1)

(f*g)(x) = 2x² - 9x - 5

Now that you have (f*g)(x), solve with x as 4.

(f*g)(4) = 2(4)² - 9(4) - 5

(f*g)(4) = 2(16) - 9(4) - 5

(f*g)(4) = 32 - 36 - 5

(f*g)(4) = -9

The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x)=x-5
g(x) = 2x+1

According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4

[f + g ](x) =  3x - 4

[f - g ](x) =  x - 5 - 2x - 1
[f - g ](x) = -x - 6

(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5

(f.g)(4) = 2[4]² - 4[4] - 5
         = 32 - 16 - 5
         = 11
(f.g)(4) = 11

Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Which of the following is the correct factored form of the given equation?

4x 2 - 11x + 6 = 0

(2x + 3)(2x + 2) = 0
(2x - 3)(2x - 2) = 0
(4x - 3)(x - 2) = 0

Answers

Answer:

(4x - 3)(x-2) = 0

Step-by-step explanation:

             4x² - 11x + 6 = 0

        To factorize this equation,

        -11

     4x6

These numbers are the key to the solution:

   find two numbers whose sum is -11 and the product is + 24 (4 x 6)

   So, the numbers are -3 and -8

    4x² - 8x - 3x + 6 = 0

   4x(x -2) - 3(x - 2) = 0

    (4x - 3)(x-2) = 0

Answer:

(4x - 3)(x - 2) = 0

That's your answer!!

a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm

Answers

Answer:

A. 31 cm

Step-by-step explanation:

Hopefully its right :)

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: [tex]H_0: \mu = 48500[/tex]

Alternate hypothesis :[tex]H_a : \mu \neq 48500[/tex]

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

[tex]Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42[/tex]

Refer the z table

p value = 0.00776

[tex]\alpha = 0.01[/tex]

p value < [tex]\alpha[/tex]

So, We are failed to accept null hypothesis

Hence The claim is rejected

Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds
of peppermint sticks.
Part A: Write an equation using one variable that can be used to find the total number of pounds of white
chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)

Answers

Answer:

163

Step-by-step explanation:

Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?

270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y.
Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0.
270 degree rotation about point 0 composition reflected across the y-axis
Reflected across the y-axis composition 270 degree rotation about point 0.

Answers

Answer:

270 degree rotation about point 0 composition .translations of negative 2 units

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Took the test

A ball is hit into air at time t=0 seconds.its height above the ground is given by the equation h=25t-9.8t².what is the value of t when the ball lands on the ground?

Answers

Answer:

The ball lands on the ground at t=2.55 seconds

Step-by-step explanation:

Quadratic Equation

The following function models the height above the ground of a ball hit into the air at time t seconds:

[tex]h=25t-9.8t^2[/tex]

We need to find the value of t when the ball hits the ground.

At ground level, h is zero, thus:

[tex]25t-9.8t^2=0[/tex]

This is an incomplete quadratic equation that can be easily solved by factoring:

[tex]t(25-9.8t)=0[/tex]

There are two solutions:

t=0

t=25/9.8=2.55 s

The first solution corresponds to the moment when the ball is hit, and the second is when it returns to the ground, thus:

The ball lands on the ground at t=2.55 seconds

The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.

Answers

Answer:

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.  

The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.

This quiz was completed on k12, lesson 3.03.

The question is an illustration of equation of circles.

The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard because

From the question, we understand that:

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung

[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard

[tex]\mathbf{B = 10ft}[/tex]  --- the bull's eye

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart

Equation of the circle

First, we convert all units to feet

This is done by dividing inches units by 12

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]

Take LCM

[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]

[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]

[tex]\mathbf{d = 18\i n }[/tex]

[tex]\mathbf{d = \frac{18}{12}ft}[/tex]

[tex]\mathbf{d = \frac{3}{2}ft}[/tex]

Divide by 2 to calculate radius

[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]

[tex]\mathbf{r = \frac{3}{4}ft}[/tex]

The equation of the circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

In this case:

[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall

[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung

So, we have:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]

Evaluate the exponents

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Does Sasha’s dart land on the dartboard?

Yes her dart lands on the dartboard because

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard

Read more about equation of circles at:

https://brainly.com/question/23988015

solve the equation
–12p = 24

Answers

Answer:

p = -2

Step-by-step explanation:

24 divided by -12

p= -2

HELP ME PLEASE I NEED A 80%

Answers

Answer:

m [slope] = 5/2

Step-by-step explanation:

Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).

There is a rise of 5 units for every run of 2 units.

(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)

m = ∆y/∆x [Change in y over the change in x]

m = 50/20

m = 5/2

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