triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.

Answers

Answer 1

Step-by-step explanation:

The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:

A( 0,0 ), → (0,0)

B(2, 0) → (-2,0)

and C(0, 4). → (0,-4)

Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)

Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:

(0,0) → (0,0)

(-2,0)→( -6,0)

(0,-4) → (0,-12)

The answer is

A' (0,0) B' (-6,0) C' (0,-12)

The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.


Related Questions

Y=? Need help ASAP very much appreciated

Answers

Answer:

8

Step-by-step explanation:

I'm guessing the answer is 8 because when y is -8, x is 4. So, my thought in mind is when x is negative, y is positive. It also says, "If the value of "y" varies directly with "x". So, this means the answer is 8. You're very much welcome! Also, I'm sorry if this is incorrect. I tried my best with this question but I'm pretty sure the answer is 8! Have a great day sunshine!! :)

Answer: y = 8

Step-by-step explanation:

help will MARK BRAINLIST

Answers

Answer:

-21

Step-by-step explanation:

put in -3 where x is

-3^2  9

-9-12 = -21

Answer:

-21

Step-by-step explanation:

We know that  [tex]f(x)=-x^2-12[/tex]  and we also know that [tex]f(x)=f(-3)[/tex]. Therefore, you will have to substitute x with -3.

Calculations:

[tex]f(x)=-x^2-12[/tex]  

[tex]f(-3)=-(-3)^2-12[/tex]

[tex]-9-12=-21[/tex]

Burger patties come packed 6 in a package, and burger buns come packed 8 in a package. We want to buy the least number of patties and buns possible, while still making sure that we have exactly one patty for each bun (no leftovers). How many packages of burger patties do we need to buy?

Answers

Answer:

6 packs of buns 8 packs of patties

Step-by-step explanation:

6 x 8 = 48

8 x 6 = 48

Find the absolute value:
5.34 -4 2/11 0
-6 3/5 -2.12 8.2

Answers

Answer:

Change the positive numbers to negative and change the negative numbers to positive.

Step-by-step explanation:

I hope this helps u! :D

On circle O below, SE is a diameter. What is the measure of ZISE?​

Answers

Answer: 34

Step-by-step explanation:

PLEASE HELP ASAP ILL GIVE U A LOT OF POINTS AND BRAINLIEST

Answers

Answer: a=1.5+1

Step-by-step explanation:

b jvgfcd vbkbhyg

Answer:

15x

Step-by-step explanation:

Write the equation of an exponential function that satisfies these characteristics:
1. y intercept of (0,5)
2. range is all y values greater than 0

Answers

Press here to get the correct answer

The value of the exponential equation is y = 5ˣ + 4

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

The y intercept is ( 0 , 5 )

So , when x = 0 , the value of y = 5

Substituting the values in the equation , we get

y = 5ˣ + 4   be equation (1)

when x = 0

y = 5⁰ + 4

y = 1 + 4

y = 5

when x = 2

y = 5² + 4

y = 25 + 4 = 29

Therefore , the range is all y values greater than 0

Hence , the equation is y = 5ˣ + 4

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ6

The sum of two numbers is 18 and their difference is 4 what are the two numbers?

Answers

Answer:

7 and 11

Step-by-step explanation:

Let the two numbers be x and y

x+y = 18

x-y = 4

Add the two equations together to eliminate y

x+y = 18

x-y = 4

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

2x +0y = 22

Divide each side by 2

2x/2 = 22/2

x = 11

Solve for y

x+y = 18

11+y =18

Subtract 11 from each side

11+y-11 =18-11

y = 7

The two numbers are 7 and 11

7
9
3
10
Simplify the answer if possible.)

Answers

i don't really get what the question  is could you write it again?

What is the slope of y = -4?

Answers

Answer:

0

Step-by-step explanation:

The line is horizontal.

Answer:   slope = 0

Explanation:

Think of y = -4 as y = 0x+(-4)

We see that the equation matches the form y = mx+b

m = 0 = slope

b = -4 = y intercept

Side note: this equation graphs out a horizontal line. All horizontal lines have a slope of 0.

Use the figure shown below to find the value of x

Answers

what i don't understand why you are not answer that question

Brian and Mark are fishing. They both catch a fish. Brian's fish weighs 17
pounds less than Mark's fish. Mark's fish weighs 22 pounds
PLEASE HURRY.

Answers

Answer: 5 pounds

Step-by-step explanation:

We need to find how much Brian's fish weighs. We know that Mark's fish weighs 22 pounds, and Brian's fish weighs 17 pounds less than Mark's fish. To find how much Brian's fish weighs, we can subtract 17 from 22.

22 - 17 = 5.

Therefore, Brian's fish weighs 5 pounds.

Hope this helps, and good luck :D

Answer:

5 pounds

Step-by-step explanation:

22-17 =5

In ΔSTU, s = 3.8 inches, t = 9.8 inches and u=9.6 inches. Find the measure of ∠U to the nearest 10th of a degree.

Answers

Answer:

m∠U = 75.7°

Step-by-step explanation:

use Law of Cosines:

9.6² = 3.8² + 9.8² - 2(3.8)(9.8)·cos U

92.16 = 14.44 + 96.04 - 74.48·cos U

92.16 = 110.48 - 74.48·cosU

-18.32 = -74.48·cosU

cos U = -18.32/-74.48

cos U = 0.24597

arccos U = 75.7

Answer:

m∠U = 75.7°

Step-by-step explanation:

its on delta and if you use a calculator then its m∠U = 75.7°

solve :
4² ( 4³ )
with work shown ​

Answers

Answer:

1024

Step-by-step explanation:

4²(4³)

4×4(4×4×4)

16(16×4)

16(64)

16×64

=1024

si el dividendo es 800 el cociente es 160 y el residuo es 0 ¿cuál es el divisor?

ayudaaa ​

Answers

Answer:

Él dividendo seria 5

Step-by-step explanation:

Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos

ESPERO Y TE AYUDE ;)

Pass a brotha some help :(

Answers

Answer and Step-by-step explanation:

Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.

10y - 50 + 6y + 12

Now, combine like terms.

16y - 38

#teamtrees #PAW (Plant and Water)

PLEASE HELP!! view attachment!!

Answers

3 I think good luck


Please help due tonight

Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?

Answers

Using algebra
3b+5d=34
2b+6d=36
This is a simultaneous equation
Times top equation by two and bottom by 3
6b+10d=68
6b+18d=108
Subtract bottom equation by top one
-8d=-40
d=5
substitute this into an equation
3b+25=34
-25 from both sides
3b=9
b=3
drink is $5 burger is $3

While shopping at Best Buy, you find the brand new laptop you have been wanting. The laptop originally costs $189.99 but is marked for 25% off. Find the discount amount and the new purchase price of the laptop before taxes.

Answers

Answer:

$142.49

Step-by-step explanation:

1. 25% = 0.25

2. 189.99 × .25 = 47.4975

3. 189.99 - 47.4975 = 142.4925

4. $142.49

David is running a unique coffee shop. He
charges $25 per coffee. If a customer pays
$67 for 2 coffees, how much change should
be given back by David?

Answers

Multiply 25x 2 , which is 50 and then do 67 minus 50, which is 17. David has to give back $17 .

factorise 3x^2+5x-12

Answers

The answer is (x+3)(3x-4)

Answer:

3x^2+9x-4x-12(3x^2+9x)-(4x+12)3x(x+3)-4(x+3)(x+3)(3x-4)

please mark me brainlist

On 9th May, 2009, there were 3440 people in the world with swine flu. Of these people, 1639 were in the USA. The 3440 people who had swine flu on 9th May was an increase of 37.6% on the number of people who had swine flu on 8th May. Calculate the number of people who had swine flu on 8th May.

Answers

Answer:

2500

Step-by-step explanation:

let a represent the number of people that had swine flu on the 8th of May

a increased by 37.6% on the 9th of May. The 37.6% increase is equal to 3440

the equation that can be used to represent this is:

a x 1.376 = 3440

to find a, divide both sides by 1.376

a = 2500

The ratio of dogs to people at the park is 3 to 4. There are 336 total
dogs and people at the park.
How many people are at the park?

Answers

Answer:

you got this u are really smart

Step-by-step explanation:

3+4=7
336/7 is 48
48 per part
48x4 is 192
192

HELP LAST ONE :”)) PLZ HELP ME I WILL LITERALLY LOVE U

Answers

Answer:

y=-2x+6

Step-by-step explanation:

Did on Calculator.

Answer:

its really simple x is increasing by 1 and y is decresing by 2

Step-by-step explanation:

Which of the following equations have no solutions?
Choose all answers that apply:
A
152 - 45 = 750 + 75
B.
15% - 45 = 15x + 75
c
45x – 45 = -15% + 75
D
-450 – 45 = -75x + 75

Answers

Answer: B

Step-by-step explanation:

Equation A:

15x - 45 = 75x + 75

=> -120 = 60x

=> x = -2

Equation B:

15x - 45 = 15x + 75

=> 0 = 15

No Solutions

Equation C:

45x - 45 = -15x + 75

=> 60x = 120

=> x = 2

Equation D:

-45x - 45 = -75x + 75

=> 30x = 120

=> x = 4

Muumuu u u unununinjn u u u) ha u he h u u when) why she 123 uu

Multiple Choice The Astrodome-in Houston, Texas, is circular and has a diameter of 710 feet. What is the approximate circumference of the Astrodom​

Answers

Answer:

Step-by-step explanation:

[tex]C=\pi d\\ \\ C=710\pi ft\\ \\ C\approx 2230.5 ft[/tex]

Answer:

2230.53

Step-by-step explanation:

Plz hurry

What is the measure of each angle?


40 points!!!!

Answers

Answer:

you didnt add a picture so im taking the points <3

Step-by-step explanation:

I would help if you provided more information

You didn’t add a picture.

A container is in the shape of a cuboid the cuboid is 2/3 full of water a cup holds 275 ml of water what is the greatest number of cups

Answers

Answer:

12 cups

Step-by-step explanation:

The first step is to calculate the volume of the cubiod

= 36 × 6 × 23

= 4968

= 4968/3 ×2

= 1656×2

= 3312

Therefore the greatest number of cups can be calculated as follows

= 3312/275

= 12

Hence the greatest number of cups is 12 cups

need help pls!!!! Algebra

Answers

Answer:

11

Step-by-step explanation:

This is a Doubt. Can someone tell me if it is right or wrong?

Answers

Answer:

It's correct

Step-by-step explanation:

;)

Other Questions
Please solve this for me 9x+6+45=100 Which of the following are characteristics of the cubic parent function? Select all that apply . A. It passes through quadrants and II. B. It has a domain and range of all real numbers. C. It is symmetric about the y-axis. D. It goes through the origin. E. It is a straight line. Help me please. u dont have to defend ur answer but its appreciated Pls help me I need to answer it now 8. A ship leaves port at 9:00 a.m. and has a bearing of N 70 W. The ship sailsat 18 knots. How many nautical miles north and how many nautical mileswest will the ship have traveled by 1:00 p.m.? Draw a picture!Round to the nearest tenth. Taylor's cat runs 15 miles in 30 minutes. At this rate how far will her can run in 3 1/2 hours? whats is 48p3m4n 12pmn4 How are the three international conflicts similar and how are they different? Which word is misspelled?interceedconcederecedeprecede Please help it's due today. Also if you don't know please don't answer. 14. Respond to the prompt below in complete sentences. Be sure to respond to BOTH bullet points for full credit.How did enlightenment thought and writing influence ideas expressed in the Declaration of Independence - Explain the enlightenment and ideas that were brought up - Explain how those ideas were used in the American Declaration of independence.At least 6 sentences The price of a four-star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how much would it be Are the following triangles similar or not similar? 24 is 3/4% of what number A fault is formed by the movement of a ___ plate boundary A.convergentB.traditional C.divergentD.transform Please help! Will mark brainliest Solve each inequality -6b + 2 < 56 Tierney Construction, Inc. recently lost a portion of its financial records in an office theft. The following accounting information remained in the office files: Cost of goods sold $ 92,750 Work in process inventory, January 1, 2016 23,600 Work in process inventory, December 31, 2016 18,750 Selling and Administrative Expenses 22,800 Net Income 38,500 Factory overhead 22,550 Direct materials inventory, January 1, 2016 29,400 Direct materials inventory, December 31, 2016 16,125 Cost of goods manufactured 112,450 Finished goods inventory, January 1, 2016 38,225 Direct labor cost incurred during the period amounted to 2.5 times the factory overhead. The CFO of Tierney Construction, Inc. has asked you to recalculate the following accounts and to report to him by the end of tomorrow. What should be the amount of direct materials used? can someone help? i really dont u understand. question is in the picture Describe the function of empirical evidence in an audiologists practice. Pls help! 30 points if you answer this!