Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place? A. a reflection across the line y = x followed by a reflection across the line y = -x B. a reflection across the x-axis followed by a reflection across the y-axis C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x D. a reflection across the y-axis followed by a reflection across the x-axis

Answers

Answer 1

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'

Answer 2

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'


Related Questions

3 Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for reason "Cannot be determined." b ∆BLK ≅ △____ By rule ____

Answers

Answer:

it cannot be determined not enough info

i need help ASAP!!!!!!

Answers

Answer:

A)Deductive

B)Deductive

C)Inductive

D) Deductive

Step-by-step explanation:

A private college runs a 3-semester school-
year schedule. The college charges $9,308 per
semester for tuition and room and board,
How much would it cost to attend this college
for 4 years?
A $121,848
B $111,696
C $37,232
D $27,924

Answers

The answer for the problem is B .

Bridgette has 25 pairs of black socks, 15 pairs of white socks, and 20 pairs of colorful socks. What is the ratio of colorful socks to total socks?

help?!​

could you please explain to?!

Answers

Answer:

Step-by-step explanation:

So the total # of socks is 25 + 15+ 20, which equals 60.

theres ONLY 20 socks that are colorful, meaning that 20/60 are coloful.

20/60 simplified is 2/6, simply that even further its 1/3, 1/3 is a ration within itself. itll be 1:3

Answer:

1:3 (20:60)

Step-by-step explanation:

So the ratio of colorful socks to total socks is 20:60

This is how:

First write the number of colorful socks which is 20.

From the calculate the total number of socks( 20 + 25 + 15 = 60) which is 60.

Then put a colon and write 60

You need to write the number of colorful socks because that is what was mentioned first then the total number of socks because it was mentioned after the number of colorful socks.

So you can reduce 20:60 to its lowest term.

You write 20: 60 as a fraction [tex]\frac{20}{60}[/tex]

Then reduce [tex]\frac{20}{60}[/tex] to its lowest term which is [tex]\frac{1}{3}[/tex].

Then write [tex]\frac{1}{3}[/tex] as a ratio which is 1:3

HOPE THIS HELPED

The volume of a sphere is 36 cubic inches. What is the radius of the sphere?

Answers

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

[tex] \sqrt[3]{27 \div \pi} [/tex]

r= 2.048in

round off to 2.05in

PROOF

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= 2.05 inches

MULTIPLE CHOICE QUESTION

The REFLECTION of a point should ALWAYS be the SAME DISTANCE away from the opposite side of the line of reflection.

FALSE or TRUE? ​

Answers

Answer:

True

Step-by-step explanation:

A reflecrion always is the sam edustance because then it makes it look like they are reflecting each other.

Explain how you would go about graphing this equation? What would be your first step and how would you go from there? Y=4x+6 *

Answers

Step-by-step explanation:

First I would look at the y intercept. In a linear equation, y = mx + b, b is the y-intercept and m is the slope. This means that (0,6) is a point on the line since at a y-intercept, the x value is 0. First you should plot this point.

Next, the slope is 4, meaning that for every 1 unit to the right, the line rises 4 units. You can count 1 to the right and 4 up from the y-intercept, which gives you (1,10), a second point on the line. After this, you can connect the two points and there you go, you have a graph!

Factors of x2 + xy+ 8x + 8y

Answers

Answer:

(x + y)(x + 8)

Step-by-step explanation:

x² + xy + 8x + 8yx² + 8x + xy + 8y [∴Combining like terms]x(x + 8) + y(x + 8)(x + y)(x + 8)

Answer:

(x + y) (x + 8)

Step-by-step explanation:

[tex]x^2+xy+8x+8y[/tex]

[tex]=\left(x^2+xy\right)+\left(8x+8y\right)[/tex]

[tex]\mathrm{factor\;out\;x\;from\;x^2+xy}:x(x+y)[/tex]

[tex]\mathrm{factor\;out \;8\;from\;8x+8y}:8(x+y)[/tex]

[tex]=x\left(x+y\right)+8\left(x+y\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+y[/tex]

[tex]=\left(x+y\right)\left(x+8\right)[/tex]

Answer = [tex]\left(x+y\right)\left(x+8\right)[/tex]

~Learn with Lenvy~


Determine the translation that maps point C(7,5) to point C'(5,5).

Answers

Answer: Left 2

Step-by-step explanation:

Move 2 units back which is left

What are the values of w and x? NO LINKS

Answers

Step-by-step explanation:

Since angles opposite congruent sides in a triangle are congruent, w=67.

Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46

Find the expected value of the random variable with the given probability distribution.

Answers

Answer:

The formula is given as E(X)=μ=∑xP(x)        Step-by-step explanation:

multiply each value of the random variable by its probability and add the products.

construct a matrix of order 3×1​

Answers

Step-by-step explanation:

A matrix of order 3×1 means it has 3 rows and one column.

[tex] \huge \red{ \begin{pmatrix} a \\\\b \\\\c \end{pmatrix} }[/tex]

In a class of 30 children there are g,girls what fraction of the class are boys

Answers

Answer:

the fraction of the class that are boys is B/30, or b=30-g.

Both these answers work

Step-by-step explanation:

Pls help me I will give 6000 points

Answers

Hey there!

4a + 3b + 2a

=> 4a + 3b + 2a

=> 4a + 2a - 3b

=> 6a - 3b

Therefore, 4a + 3b + 2a = 6a - 3b

[tex] \\\ \\ \\{x}^{2} + 2y + 8 {x}^{2} [/tex]

[tex]-› \:{x}^{2} + 8 {x}^{2} - 2y[/tex]

[tex]-› \: 9 {x}^{2} - 2y[/tex]

Therefore, [tex] {x}^{2} + 2y + 8 {x}^{2} [/tex] = [tex]\: 9 {x}^{2} - 2y[/tex]

John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $12.50. They spend a total of $16.85. Write an equation to represent the problem. Find the cost of one large drink.

Answers

Answer:

Hm, okay.

Step-by-step explanation:

So, if the pizza cost $12.50, and the total money spent is $16.85, we must first subtract our money spent on pizza from the total amount spent.

$16.85 - $12.50 = $4.35

So, that means that John and his two friends spent $4.35 on 3 large drinks. But how do we figure out how much each individual drink cost?

We divide $4.35 by 3.

$4.35 / 3 = $1.45.

So, the amount of money spent on one large drink was $1.45.

In 5 days, Nicole ran a total of 10 miles. She ran the same amount each day. How much did she run each day?

Answers

Answer:

She ran 2 miles each day

Step-by-step explanation:

Nicole ran 2 miles each day

To get to 10 miles a day you need to multiply by 2. When you multiply by 2 it will look like this

2,4,6,8,10.

These are five numbers so Nicole ran 2 miles each day

Translate point (2, -1) three units to the left. Write the new coordinate as
an ordered pair. May someone help ASAP !

Answers

Because moving to the left would be moving on the x axis, the answer would be (-1, -1). The y axis does not move.

Answer:

(-1,-1)

Step-by-step explanation:

Because you're translating something 3 units to the left, then you are moving along the x-axis, so you will subtract 3 from 2.

t costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)

Answers

Answer:

4.76

Step-by-step explanation:

it just is

Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.

Answers

The given circle having two external tangents, according to circle

theorem, have the following values;

r = 3m∠1  = 82°m∠2 = 49°x = 82°

How can the radial  length and angles be found?

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

r = 3

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

m∠1  = 82°

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

m∠2 = 49°

The length of the chord subtended by the arc x is equal to the length of

the chord subtended by 89°, which gives;

x = 82°

Learn more about circle theorems applications here:

https://brainly.com/question/16879446

A phone company offers two monthly plans. Plan A costs $20 plus an additional $0.11 for each minute of calls. Plan B costs $14 plus an additional $0.13 for each minute of calls.

For what amount of calling do the two plans cost the same? ____Answer

What is the cost when the two plans cost the same?
$_____answer

Answers

Answer:

a. 300 minutes.

b. $53

explanation:

make equations from given information.

consider each minute as "n"

equation 1 from plan A :

20 + 0.11(n)

equation 2 from plan B :

14 + 0.13(n)

Solve them simultaneously,

14 + 0.13(n) = 20 + 0.11(n)

0.13(n) - 0.11(n) = 20 - 14

0.02(n) = 6

n = 300

insert n = 300 in any of the equation, to find cost.

14 + 0.13(n)

14 + 0.13(300)

$53

Which product of prime polynomials is equivalent to 3x4 – 81x? 3x(x – 3)(x2 – 3x – 9) 3x(x – 3)(x2 3x 9) 3x(x – 3)(x – 3)(x 3) 3x(x – 3)(x 3)(x 3)

Answers

The product of prime polynomials  [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is equivalent to  

[tex]\rm 3x^4-81x[/tex].

It is given that the polynomial  [tex]\rm 3x^4-81x[/tex].

The product of prime polynomials is equivalent to the above polynomial.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have:

[tex]\rm 3x^4-81x\\\rm 3x(x^3-27)\\\rm 3x(x^3-3^3)\\\rm 3x(x-3)(x^2+3x+3^2) \\\\ We \ know \ that \ a^3-b^3=(a-b)(a^2+ab+b^2)\\3x(x-3)(x^2+3x+9)\\[/tex]

Thus the option  [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is correct.

Learn more about Polynomial here:

https://brainly.com/question/17822016

Mark drew a regular octagon with side lengths of 10 inches. He divided the octagon into two identical trapezoids and a rectangle. He measured the height of one of the trapezoids to be 7 inches, and the width of the rectangle to be 24 inches. Find the area of the octagon.

Answers

Answer:

482.84

Step-by-step explanation:

[tex]A = 2 ( 1 +\sqrt{2} ) a^{2} = 2 multiply ( 1 +\sqrt{2} ) multiply 10^{2} = 482.84271[/tex]

Hope it helps!!!Brainliest pls!!!

I am really sorry but just think that the "MULTIPLY" is when you just have to multiply the number and I can't change it.

An elephant weighs 8.8 x 103 kg. A small dog weighs 4 kg. How many
4
times heavier is the elephant than the dog?
A 22,000 times heavier
B. 2,200 times heavier
C. 220 times heavier
D. 22 times heavier

Answers

The answer for this equation is

Answer:

I'd have to go with C.

Step-by-step explanation:

8.8 x 103=

906.4

And if you have to times it by 4, than its most likely 220

220 x 4=

880

Heres the problem....
Someone plz help me lol :(

Answers

Answer:

B)

Step-by-step explanation:

The rectangle is being translated.  It is moving up 3, so positive 3, and to the left 6, so -6.

need help pls and how was yall day

f=1.8c+32

Answers

Answer:

author link

annaking0830

Ambitious

14 answers

987 people helped

Answer:

0.5f - 17.77

Step-by-step explanation:

im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)

p.s i do khan too!!

Answer:

Answer:

author link

annaking0830

Ambitious

14 answers

987 people helped

Answer:

0.5f - 17.77

Step-by-step explanation:

im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)

Step-by-step explanation:

Percy paid $24. 10 for a basketball. The price of the basketball was $22. 99. What was the sales tax rate?.

Answers

Answer:

$3.11

Step-by-step explanation:

you have to subtract 24.10 from 22.99

Answer:

First let's find the increase of the original price to it's new price;

24.10 - 22.99 = 1.11, there was a $1.11 increase.

Though, we need to find the percentage, using the formula:-

Changed price       100

____________ x _____ (100%)

Original amount        1

Our changed price was 1.11, and our original price was 22.99.

 1.11          100

_____ x _____ = 4.828 which rounds to 4.83%

22.99        1

please help please please

Answers

Answer:

f(-2) = 8

Step-by-step explanation:

Graph y = f(x)

Find value of f(-2)

when f(x) = f(-2)

Here we are looking for the value of y when x = -2

From the graph when x = -2 then y = 8

Therefore, f(-2) = 8

-4m + 2n = 6
-4m + n = 8
solve for and x and y steps

Answers

I am doing this problem assuming that you mean to solve for m and n as x and y do not exist in this system of equations.

-4m+2n=6

-4m+n=8

We can see that the coefficient of x for both equations are -4; therefore, elimination with subtraction is possible.

First equation - second equation

n=-2

Then substitude back in to solve for m

-4m+(-2)=8

4m=10

m=5/2

Therefore the answer is

n= - 2

m= 5/2

I hope this helped and if you have any questions please ask.

What is the value of x in the equation 8x – 2y = 48, when y = 4?.

Answers

Step-by-step explanation:

Substitute the value of y into the equation;

[tex]8x-2(4)=48[/tex]

Find the value of x.

Multiply;

[tex]8x-8=48[/tex]

Add 8 to each side;

[tex]8x=56[/tex]

Divide each side by 8;

[tex]x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

Given:

y = 4

Step-1: Substitute the y-variable in the equation (8x – 2y = 48)

⇒ 8x - 2y = 48⇒ 8x - 2(4) = 48

Step-2: Simplify the L.H.S

⇒ 8x - 2(4) = 48⇒ 8x - 8 = 48

Step-3: Add 8 both sides

⇒ 8x - 8 = 48⇒ 8x - 8 + 8 = 48 + 8⇒ 8x = 56

Step-4: Divide 8 both sides

⇒ 8x = 56⇒ 8x/8 = 56/8⇒ x = 7

Eve needs 2/9 ounces of paint to make a flower. how much paint does she need for 3 flowers?

Answers

[tex]\begin{array}{ccll} paint&flowers\\ \cline{1-2} \frac{2}{9} & 1\\ x& 3 \end{array} \implies \cfrac{~~ \frac{2}{9}~~}{x}=\cfrac{1}{3}\implies \cfrac{2}{9x}=\cfrac{1}{3} \\\\\\ 6=9x\implies \cfrac{6}{9}=x\implies \cfrac{2}{3}=x[/tex]

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