Which transformations could be performed to show that △ABC is similar to △A"B"C"?

a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third

Which Transformations Could Be Performed To Show That ABC Is Similar To A"B"C"?a Reflection Over The

Answers

Answer 1

Answer:

A 180° rotation of then a dilation by a scale factor of one-third

Step-by-step explanation:

The coordinates of the vertices of ΔABC are;

A(-9, 3), B(-9, 6), and C(0, 3)

The coordinates of the vertices of ΔA'B'C' are;

A'(3, -1), B'(3, -2), and C'(0, -1)

We note that for a 180° rotation transformation about the origin, we get;

Coordinates of preimage = (x, y)

Coordinates of image after 180° rotation about the origin = (-x, -y)

Therefore, a 180° rotation of ΔABC about the origin, would give ΔA''B''C'' as follows;

A(-9, 3), B(-9, 6), and C(0, 3) = A''(9, -3), B''(9, -6), and C''(0, -3)

The formula for a dilation of a point about the origin is given as follows;

[tex]D_{O, \, k} (x, \, y) = (k\cdot x, \, k\cdot y)[/tex]

Where;

k =The scale factor = 1/3, (one-third) we have;

A dilation of ΔA''B''C'', by a scale factor of 1/3, we get ΔA'B'C' as follows;

[tex]D_{O, \, \frac{1}{3} } A''(9, \, -3) = A'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -3) = A'(3, -1)[/tex]

[tex]D_{O, \, \frac{1}{3} } B''(9, \, -6) = B'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -6) = A'(3, -2)[/tex]

[tex]D_{O, \, \frac{1}{3} } C''(0, \, -3) = C'(\frac{1}{3} \times 0, \, \frac{1}{3} \times -3) = C'(0, -1)[/tex]

The coordinates of the vertices of ΔA'B'C' are A'(3, -1), B'(3, -2), and C'(0, -1), which is the same as the required coordinates of the image;

Therefore, the transformation that can be performed to show that ΔABC and ΔA'B'C' are similar are rotating ΔABC by 180°  then a dilating the image derived after rotation by a scale factor of one-third (1/3) we get ΔA'B'C'.

Answer 2

Answer:

D

Step-by-step explanation:


Related Questions

Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30

2. 7/16 and 42/66

3. 13/70 and 39/200

4. 16/34 and 80/170

5. 11/12 and 66/72

6. 14/17 and 112/134

7. 2/3 and 120/190

8. 23/99 and 115/495

Answers

I think that it’s 13/70 and 39/200

An ellipse has a co-vertex at (–8, 9) and a foci at (4, 4). If the center of the ellipse is located below the given co-vertex, then what is the equation of the ellipse? Write in standard form. Guide question? 1) What are the coordinates of the center of the ellipse? 2) Is the ellipse horizontal or vertical?

Answers

Answer:

Step-by-step explanation:

“the center of the ellipse is located below the given co-vertex”

Co-vertex and center are vertically aligned, so the ellipse is horizontal.

Equation for horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

with

a² ≥ b²

center (h,k)

vertices (h±a, k)

co-vertices (h, k±b)

foci (h±c,k), c² = a² -b²

One co-vertex is (-8,9), so h = -8.

One focus is (4,4), so k = 4.

Center (h,k) = (-8,4)

c = distance between center and focus = |-8 - 4| = 12

b = |9-k| = 5

a² = c² + b² = 169

(x+8)²/169 + (y-4)²/25 = 1

Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?



A. 13 mi.
B. 14 mi.
C. 16 mi.
D. 17 mi.

Answers

Answer:

C. 16 mi.

Step-by-step explanation:

This situation forms a right triangle: the distances 32 miles south and 24 miles east are the legs, and the original southeast course is the hypotenuse.

Use the pythagorean theorem, a² + b² = c² to solve for c, the length of the southeast course.

a² + b² = c²

32² + 24² = c²

1600 = c²

40 = c

So, the southeast course is 40 miles long.

Find how many miles the pilot traveled on the alternate route:

32 + 24

= 56

Find the difference in extra miles:

56 - 40

= 16

So, the pilot was forced to fly 16 extra miles.

The correct answer is C. 16 mi.

Answer:

16

Step-by-step explanation:

On Edge 2022

Triangle MNO is isosceles. Find the value of y and the measure of Angle O.

Y=______
Angle O=_______degrees​

Answers

Answer:

y = 14

Angle O is 41 degrees

Step-by-step explanation:

From the question, since we have an isosceles triangle, then the base angles are equal

This means that the angle at M is (4y-15) too

Mathematically, the sum of the angles in a triangle is 180 degrees

Thus;

7y + 4y-15 + 4y-15 = 180

15y-30 = 180

15y = 180+ 30

15y = 210

y = 210/15

y = 14

Angle O is 4y-15

= 4(14) -15 = 56-15 = 41 degrees

helpppppppppp///////

Answers

Answer:

E

Step-by-step explanation:

He makes 30 per hour with the 20 extra therefore f(x)=30x+20

If n orange juice is made up of concentrate and water in the ratio 3:8. What fraction of the mixture is concentrate?​

Answers

Answer:your answer should be 2

Step-by-step explanation:

Multiple choice please help!!

Answers

3 and 4

Step-by-step explanation:

y=5x

y=5(0)

y=0

y=5x

y=5(10)

y=50

y=5x

y=5(51)

y=255

y=5x

y=5(400)

y=2000

54+54788347589535222

Answers

5.4788348e+16. ........

Answer:

54788347589535276

Step-by-step explanation:

you simply add the given values...

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

I have absolutely no clue sorry buddy

Step-by-step explanation:

There is no step-by-step explanation

Answer:

Hi

Step-by-step explanation:

I can help you

2. Area of a rectangle 40 cm2

So. We know the area AND one of the sides of the rectangle.

We can calculate the area.

We know that area=length times width

so

A=lw

Rearrange that for w:

w=A/l

w=40:8

w=5

Now we know both l and w

Now we can calculate the perimeter

P=2a+2b

P=2(a+b)

P=2(8+5)

P=2(13)

P=26

I hope it is correct

Si "m" es el lado mayor de un triángulo, dos cuyos ángulos interiores miden 30° y 60°, entonces el perímetro del triángulo es

Answers

Answer:

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]

Step-by-step explanation:

triángulo 30°-60°-90°

[tex] 1~:~\sqrt{3}~:~2 [/tex]

[tex] 1m~:~m\sqrt{3}~:~2m [/tex]

[tex] \dfrac{m}{2}~:~\dfrac{m\sqrt{3}}{2}~:~m [/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + m[/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + \dfrac{2m}{2}[/tex]

[tex]perimetro = \dfrac{m + m\sqrt{3} + 2m}{2}[/tex]

[tex]perimetro = \dfrac{3m + m\sqrt{3}}{2}[/tex]

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]

What is the center of the circle: .22 + y2 = 4

Answers

I think it’s 5 I’m not really sure

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What is the
circumference of Earth's equator?
(Hint. Earth's circumference at the equator is equal to the distance that Earth rotates around the equator).

Answers

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

Find p(5) for p(x) = 80x2 - 15 by using the remainder theorem.
O 1985
O 2015
O-1985
O 2030

Answers

2030 is the correct answer for this question
I think it would be option 2030

will give BRAINLIEST ! plz help

Triangle ABC has A (-3, 6), B (2, 1), and C (9, 5) at its vertices.
The length of side AB is
A. (50)^1/2
B. (65)^1/2
C. (105)^1/2
D. (145)^1/2
units.
The length of side BC is
(one of the above options)
units.
The length of side AC is
(one of the above options)
units.
A. 55.21
B. 85.16
C. 105.26
D. 114.11

Answers

Answer:

AB= A. (50)^1/2

BC= B. (65)^1/2

AC= D. (145)^1/2

<ABC≈ 105

Fred, a skycap at the airport, is paid
$5.15 per hour. During an 8-hour
shift, he earned $195.00 in tips. What
were his estimated total earnings for
a 40-hour week?

Answers

Answer:

401 a week

Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195  if he works for 40 hours the equation would be x=ab+c  X is the week, A is the money per hour, B is the amount of hours and C is the tip   X= 5.15(40)+195       5.15 times 40 is 206 then 206+195 is 401 which is your answer

Someone help me please

Answers

Answer:

(x + 10)(2x + 5)

Step-by-step explanation:

Given

2x² + 25x + 50

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 2 × 50 = 100 and b = 25

The factors are + 20 and + 5

Use these factors to split the x- term

2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )

= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term

= (x + 10)(2x + 5)

what are the ex and Y coordinates of point E, which partition the directed line segment from A to B into a ratio of 1:2?

Answers

Answer:

Step-by-step explanation:

The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and then y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of point E, then, are (0, 1).

Answer:

(-1,3)

Step-by-step explanation:

Mathematically, what we have to do here is to get the coordinates of the midpoint of the line AB

we have this as;

(x,y) = (x1 + y1)/2, (y1 + y2)/2

(x,y) = (-4+2)/2, (9-3)/2 = (-1, 3)

Suppose that there is a negative correlation between the variables k and l. If l is 150 when k is 7, which of these is most likely to be the value of l when k is 14.
A. 300
B. 150
C. 75
D. 225​

Answers

Answer:

d

Step-by-step explanation:

Answer:

the person above me is correct

Step-by-step explanation:

cus I know

What percentage of 1hour is 6munites 20seconds

Answers

Answer:

1 minute and 12 seconds is 2 % of an hour.

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Find the unknown side length, x. Write your answer in simplest radical form.

A.
15

Answers

Answer:

HEY MATE I HAVE THE SAME QUESTION IN MY SCHOOL AND I HAVE SOLVED IT SO PLZ MARK ME BRAINLIEST.

Step-by-step explanation:

In a right triangle its sides can go with a^2+b^2= c^2

Then a^2+ 8^2= 17^2. a=15 (missing side)

Now 5^2+ 15^2= x^2

250=x^2 ------> 5 square root of 10=x answer b

How do I simplify the expression

Answers

ANSWER: ab√3ac

Is this enough for you ?

look at image for question and answers​

Answers

Answer:

ANSWER :

it's x + 3 + x

6h=2k+9. 3h+4k=12 use elimination please help me ​

Answers

Answer:

h = 2 and k = 1.5

Step-by-step explanation:

The solution is, Solve of the system of equations. using elimination,

6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that, the system of equations.

6h-2k=9.......(1)

3h+4k=12 ...........(2)

now, for solving, multiply (1) by 2 & add with  (2),

we get,

12h - 4k = 18

3h + 4k = 12

---------------------

15h = 30

i.e. h = 2

from (1), we get, k = 3/2

Hence, The solution is, Solve of the system of equations. using elimination,

6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).

Answers

Answer:

Vertex form is f(t) = 4 [tex](t-1)^{2}[/tex] +3 and vertex is (1, 3).

Step-by-step explanation:

It is given that f(t)= 4 [tex]t^{2}[/tex] -8 t+7

Let's use completing square method to rewrite it in vertex form.

Subtract both sides 7

f(t)-7 = 4 [tex]t^{2}[/tex] -8t

Factor the 4 on the right side.

f(t) -7 = 4( [tex]t^{2}[/tex] - 2 t)

Now, let's find the third term using formula [tex](\frac{b}{2} )^{2}[/tex]

Where 'b' is coefficient of 't' term here.

So, b=-2

Find third term using the formula,

[tex](\frac{-2}{2} )^{2}[/tex] which is equal to 1.

So, add 1 within the parentheses. It is same as adding  4 because we have '4' outside the ( ). So, add 4 on the left side of the equation.

So, we get

f(t) -7 +4 = 4( [tex]t^{2}[/tex] -2 t +1)

We can factor the right side as,

f(t) -3 = 4 [tex](t-1)^{2}[/tex]

Add both sides 3.

f(t) = 4[tex](t-1)^{2}[/tex] +3

This is the vertex form.

So, vertex is (1, 3)

Which of the following is most likely the next step in the series?

Answers

Answer:

You didn't send a picture from that question so we don't know what to do with it.

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked it's taste.

Answers

Answer:

yes

Step-by-step explanation:

Here is the complete question :

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?

Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.

Types of  descriptive statistics

1. Measures of central tendency :

They include mean, median and mode

Mode refers to a value that appears most frequently in a data set.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

2. Measures of variation : It includes range, standard deviation and variance

3. Measure of position ; percentile and quartiles

4. Measure of frequency : count, percentage

Can someone help me with this math homework please!

Answers

Answer:

Step 1 & Step 4 are true statements

Step-by-step explanation:

Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)

On evaluating the expression 10(x - 20y) + 100x, the answer will be​

Answers

Answer:

110x -200y

Step-by-step explanation:

10(x - 20y) + 100x

Distribute

10x-200y +100x

Combine like terms

110x -200y

Answer:

110x−200y

Step-by-Step Explanation:

Given:

10(x−20y)+100x

First Step: Distribute

(10)(x)+(10)(−20y)+100x

10x+−200y+100x

Second Step: Combine Like Terms:

10x+−200y+100x

(10x+100x)+(−200y)

110x+−200y

Answer:

=110x−200y

What percent of 45 is 27

Answers

Answer:

60%

Step-by-step explanation:

27/45 = .6

.6 = 60%

Rewrite as a power of 10: 1/10

Answers

Answer:

Step-by-step explanation:

You have to know how negative exponents "work" to understand this concept.

[tex]\frac{1}{10}=10^{-1[/tex] because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.

Other Questions
write an expression for 8 less than 2 times a numbershow your work Anderson has $120 and is spending $8 a day. Kate has $60 and is saving $7 a day. After how many days will they have the same amount of money? Bella Bags is a British company that sells luxury leather purses manufactured in London. Currently, its products are carried at high-end department stores all across Europe. The company prides itself on its exceptional customer service. However, the company has been criticized in the past for carrying only two designs of bags. There is currently growing market demand for high-end luxury accessories. Bella Bags faces fierce competition from established luxury brands. Which of the following best characterizes an actionable strategy for Bella Bags that works on reducing the company's weaknesses to avoid threats? A) Reduce the threat of high competition by expanding the product line and offering more variety B) Promote the company's exceptional customer service to leverage the increasing demand for luxury goods C) Reduce the threat of high competition by promoting the company's narrow product offering D) Reduce the threat of high competition by leveraging the increasing demand for luxury goods Find the vertex of the function y = (1/5)x^2 + (4/5)X + 1/5A. (-2, 1)B. (2, 1)C. (2, -1)D. 12/5, 1) 1. Which of the following is equivalent to 7a4 + 3a"?O (7+3)a4+4O (7-3)a+O (743)a+O (7.3)a4+4 manden sus clases de zoom Which correlation is most likely a causation?the positive correlation between the sales of apples and sales of oranges at a farmers marketthe positive correlation between the number of crimes in a city and the number of cars in the citythe positive correlation between the height of a person and the number of times a person bumps their head on a low ceilingthe positive correlation between the number of socks and number of shoes in a home Be-The-One is a motivational consulting business. At the end of its accounting period, December 31, 20Y2, Be-The-One has assets of $395,000 and liabilities of $97,000. Using the accounting equation, determine the following amounts: a. Stockholders' equity as of December 31, 20Y2. $fill in the blank 1 b. Stockholders' equity as of December 31, 20Y3, assuming that assets decreased by $65,000 and liabilities increased by $36,000 during 20Y3. $fill in the blank 2 QuestionPrice of Book $14.99 9.99Copies Sold at That Price 100,000 174.000Total Revenue at That Price 1,499,000 1,738,000Based on the data in the table and using the midpoint formula, between a price of $9.99 and $14.99, the price elasticity of demand for books isA) -0.74.B) -1.16.C) -1.35.D) -14.8. In most unsaturated fatty acids found in animal fats, vegetable oils, and biological membranes, the cis isomer predominates. true false You will write a fictional narrative in third person. The electric potential ( relative to infinity ) due to a single point charge Q is 400 V at a point that is 0.6 m to the right of Q. The electric potential (relative to infinity) at a point that is 0.90 m to the left of 0 is:_____.A. + 400 V.B. -400 V.C. + 200 V. Instructions: Using the vocabulary for daily routines, write 6 sentences describing Monica's typical morning before school. Be sure to conjugate for third-person singular (ella). Follow the Model: Monica se ducha a las 8 de la maana. What are the primary arguments offered for reforming the practice of holding until trial poor individuals charged with a misdemeanor who cannot afford to pay bail if P = (1,6) find r90 (P) Suppose a friend is always tired because she stays up late watching television. Which factor is having a negative influence on her health solve the inequality x^3+4x>5x^2 please show steps and interval notation. thank you. What was the effect of manifest destiny on the American Indian population?ManyA.) American Indians welcomed new settlers into their tribal groups. B.) Almost all American Indians died from disease and starvation.C.) Many American Indians were killed or forced to move to reservations.D.) Most American Indians gave up their land and fled to Mexico. education in city is better than town Consider the following statements:1. RNA is ribonucleic acid.2. RNA is used for information transport (known as mRNA). Choose the correct answer from the given codes:A Only 1B Only 2C BothD Neither 1 nor 2E None of the above