A triangle has vertices A (0,0) B (2,6) and (0,4) Rotate it 180 clock wise about the origin followed by a dilation with a scale factor of 3 find the coordinates of the vertices of A’ B’ C’ and state whether the two triangles are congruent or similar

Answers

Answer 1

9514 1404 393

Answer:

A'(0, 0), B'(-6, -18), C'(0, -12)

Step-by-step explanation:

Rotation 180° is the transformation ...

  (x, y) ⇒ (-x, -y)

Dilation by a factor of 3 is the transformation ...

  (x, y) ⇒ (3x, 3y)

The two transformations together can be described by ...

  (x, y) ⇒ (-3x, -3y)

That is, the coordinates of A, B, C are each multiplied by -3. The image vertices are ...

  A' = -3A = A'(0, 0) . . . . . . . . the center of rotation and dilation is invariant

  B' = -3B = B'(-6, -18)

  C' = -3C = C'(0, -12)

Any dilated figure will not be congruent to the original. The triangles are similar.


Related Questions

what is 21+17⋅2−15+1 Simplified?

Answers

Answer:

41

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

21 + 17⋅2 − 15 + 1

=> 21 + 34 - 15 + 1

=> 55 - 15 + 1

=> 40 + 1

=> 41

Although she’s only in middle school, Tameka loves to drive go - carts! Her favorite place to drive go - carts, driver’s delight, has 3 circulas tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110.

A. Compute the circumstance of Track 1.
B. Compute the circumstance of Track 2.
C. Compute the circumstance of Track 3.
D. Driver’s delight is considering building a new track. They have a circular space with a diameter of 150 feet. Compute the circumference of the circular space.

Answers

Answer:

Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.

a. Compute the circumference of Track 1.

b. Compute the circumference of Track 2.

Step-by-step explanation:

The base fare per ride on the MTA bus or subway is $2.75, but you get a 5% discount with a purchase. A weekly unlimited MetroCard costs $32.00. How many rides a week will make the weekly unlimited pass more cost-effective?

Answers

"13" or "more than 13" rides will make the weekly unlimited pass more cost effective. A further solution is provided below.

The given values are:

Base fare per ride = $2.75Discount = 5%Weekly unlimited Metro Card costs = $32

The Fare after discount will be:

= [tex]2.75\times \frac{100-5}{100}[/tex]

= [tex]2.75\times \frac{95}{100}[/tex]

= [tex]2.75\times 0.95[/tex]

= [tex]2.6125[/tex] ($)

hence,

In $32, the minimum number of rides will be:

= [tex]\frac{32}{2.6125}[/tex]

= [tex]12.24[/tex]

or,

= 13

Learn more:

https://brainly.com/question/6439224

What is the quotient when 8x^3-5x^2+x+2 is divided by x^2

Answers

Step-by-step explanation:

[tex]8 {x}^{3} - 5 {x}^{2} + x + 2 \div {x}^{2} [/tex]

[tex]8 {x}^{3} - 5 {x}^{2} + x + \frac{2}{ {x}^{2} } [/tex]

[tex] = \frac{8 {x}^{5} - 5 {x}^{4} + {x}^{3} + 2}{ {x}^{2} } [/tex]

Value of (2/3) -4 for algebra

Answers

Answer: The value of 2/3 × 4 is equal to a fraction 8/3.

Solve the inequality for x.
x-4<19
Simplify your answer as much as possible.

Answers

Answer:

[tex]x < 19 + 4 \\ x < 23[/tex]


-.0666
Rational or
Irrational?
WHY

Answers

Answer:

It's irrational

Step-by-step explanation:

An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.

Answer:

Rational

Step-by-step explanation:

Irrational numbers go on FOREVER.

An example is

1. π

2.[tex]\sqrt{2}[/tex]

....

Surds are irrational. A surd is a square root of a number that goes on forever.

Some irrational numbers have recurring digits (repeating digits)

10/3 is an example:

3. 333333333333333333333333333333333333333333............

Mr. Santiago can buy light fixtures in packages of 12 and light bulbs in packages of 9. He bought the fewest number of light fixtures and light bulbs so that there is exactly one bulb per fixture with none left over.

How many packages of light fixtures and how many packages of light bulbs did Mr. Santiago buy?

I WILL GIVE BRANLIEST PLEASE HELP AND RIGHT ANSWER

Answers

Answer:

3 and 4 packages

Step-by-step explanation:

We need to find the LCM of 12 and 9.

9 = 3*312 = 2*2*3

Their LCM is:

LCM(12, 9) = 2*2*3*3 = 36

Number of light fixtures and light bulbs is 36.

Number of packages will be:

36/12 = 3 and36/9 = 4 respectively.

Step-by-step explanation:

First finding LCM of 9 and 12

9 = 3 × 3

12 = 2 × 2 × 3

LCM = 3 × 2 × 2 × 3

LCM = 36

Now,

No. of light fixtures = 36/12 = 3

No. of light bulb = 48/12 = 4

The width of a rectangle is 5 less than the length and the perimeter is 70. Find the dimensions of the rectangle

Answers

Answer:

L= 40

W= 35

Step-by-step explanation:

The solution is in the attached file

Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the measure of angle A'?

45 degrees
50 degrees
95 degrees
180 degrees
W

Answers

Answer:

oof i haaaaaate pre algebra

Step-by-step explanation:

well, i THINK tis is right, Jay.

95. because it IS 50 degrees. so if you ROTATE it 45, then your basically adding it together.

Ur friend, Chad_da_Fox

Answer:

95 degrees would Be your Answer!

Step-by-step explanation:

extra points for this one. please help

Answers

The correct answer is D because a function is a question that has exactly one answer.

If I pick a city, say NYC, and ask, “What are the professional sports teams in NYC?” there are more than one pro sports teams.

For this to be a function, there needs to be only one answer to the question.

Option A has only one answer to “How much electricity did this home use this month?”
Option B has only one answer to “What is ____ ranking right now?”
Option C is just weird, but the question of “How many hours are there in __ days?” has only one answer. (24 x the number of days)

Again, D has the possibility that a single city has more than one pro sports team.

Which is better to buy? 3-yard roll of wrapping paper for $7.02. 8-foot roll of wrapping paper for $7.36

Answers

Answer:

3 yard roll of wrapping paper for $7.02 is better to buy.

Step-by-step explanation:

1 yard = 3 foot

3 yard = 9 foot

$7.02 / 9 foot = $0.78/foot

$7.36 / 8 foot = $0.92/foot

0.78 < 0.92

Therefore, 3 yard roll of wrapping paper for $7.02 is better to buy.

Which fraction is equivalent to
?
-3/2

Answers

Answer:

3/-2

Step-by-step explanation:

bc the other ones don't make sense  To get an equivalent fraction all we have do to is multiply it by 2...

. Find the sum of the first 20 terms of the
arithmetic sequence 27, 22, 17, ....

Answers

Answer:

Step-by-step explanation:

a = 27

n = 20

d = -5

L20 = 27 + (n - 1)*d

L20 = 27 + (20-1)*_5

L20 = 27 + 19*-5

L20 = -68

Sum = (a + L)*n/2

Sum = (27 - 68)*20/2

Sum = -41 * 10

Sum = - 410

Solve 124m – 23=34 for m.

Question 5 options:

m = –12


m = 36


m = 34


m = 12

Answers

Answer:

[tex]124m - 23 = 34 \\ 124m = 34 + 23 \\ 124m = 57 \\ \frac{124m}{124} = \frac{57}{124} \\ m = 67[/tex]

Answer:

m = 34

Step-by-step explanation:

is 365458 is divisible by 4.​

Answers

Answer:

No. 365458 is not divisible by 4. hope this helps

Step-by-step explanation:

- Zombie

Answer:

No

Step-by-step explanation:

it is not divisble by 4

2. SALES TAX Suppose that a state sales tax is 7%. Make a table showing the
amount of tax on items with prices of $6, $8, $10, and $12. How can you
find whether the price and amount of sales tax are linearly related?

Answers

Answer:

$6 * .07= 0.42 tax

6+042= $6.42

$8*.07=0.56 tax

8+.56= $8.56

$10*.07=0.70 tax

10+0.70=$10.70

$12*.07=0.84 tax

12 + 0.84=$12.84

the sum of 88 elephants and x elephants is 145 elephants

Answers

Answer:

57 (if your solving for x)

Step-by-step explanation:

88 + x = 145

You subtract 88 from both sides

88 + x = 145

-88        -88

0  + x = 57

x = 57

its asking to calculate the mean and median of jonhathan grades and tristian grades?​

Answers

Jonathan
Median=96
Mean=80

And

Tristian
Median=81
Mean=81

Assume a fair, six sided die is rolled four times. What is the probability of rolling at least one six?

Answers

Answer:

6

Step-by-step explanation:

6 slided die is rolled four times so 4×6 so if u do it 1 time 6×1=6

Answer:

There is 2/3(66.66%) probability of rolling a 6 at least once.

Step-by-step explanation:

6- total sides

4- rolls

4/6 = 66.66% chance

josh and karl are 119 miles apart, traveling towards each other. If Victoria travels 12 mph and Alejandra travels 5 mph how long until they meet?

Answers

Answer:

v1+v2= 12+5= 17

T= s : (v1+v2)=119: 17= 7

Step-by-step explanation:

Somebody please help meee and get the correct answer cause if you give me the correct answer you get brainlist
Answer ASAP
If you know this

Answers

Answer:

x2 because it is not an equation

Step-by-step explanation:

f(x) = -x^2+3

find f(-2)

Answers

f(x) = -x² + 3

f(-2) = -(-2)² + 3 = -4 + 3 = -1

Answer → f(-2) = -1

the length of an arc is 10cm find angle subtended by arc if the circumference of the circle of which the arc form part 60cm​

Answers

9514 1404 393

Answer:

  60° = π/3 radians

Step-by-step explanation:

The 10 cm length of the arc is 1/6 of the 60 cm length of the circumference of the circle. That means the angle measure of the arc is 1/6 of the total angle measure of a circle.

  arc = 360°/6 = 60°

  arc = (2π radians)/6 = π/3 radians

-3/4(8n+12)=3(n-3) show work pls

Answers

Answer: n = 0

Step-by-step explanation:

Given expression

(-3/4) (8n + 12) = 3 (n - 3)

Expand parentheses and apply the distributive property

-6n - 9 = 3n - 9

Add 9 on both sides

-6n - 9 + 9 = 3n - 9 + 9

-6n = 3n

Subtract 3n on both sides

-6n - 3n = 3n - 3n

-9n = 0

Divide -9 on both sides

-9n / -9 = 0 / -9

[tex]\boxed{n=0}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

0

Step-by-step explanation:

-3/4(8n+12)=3(n-3)

-24/4n-36/4=3n-9

-6n-9=3n-9

-6n-3n-9=-9

-9n-9=-9

-9n=-9+9

-9n=0

n=0/-9

n=0

Please mark me as Brainliest if you're satisfied with the answer.

i will mark u brainliest please help

Answers

Answer:

30+(2x+7)+63=180(sum of angles of triangle )

30+2x+7+63=180

2x+100=180

2x=180-100

x=80/2

x=40

Answer:

[tex]\boxed {\boxed {\sf (2x+7)+30+63= 180}}[/tex]

[tex]\boxed {\boxed {\sf x=40}}[/tex]

Step-by-step explanation:

We are asked to write an equation to solve for x and use the equation to find x.

We know that the angles in a triangle must add to 180 degrees. Therefore, the sum of the three angles in this triangle: 30, 63, and (2x+7) must equal 180. We can set up an equation.

[tex](2x+7)+ 30 +63= 180[/tex]

Now we can use the equation to solve for x. First, we combine like terms on the left side of the equation. The 3 terms without variables or constants can be added.

[tex]2x+ (7+30+63)= 180[/tex]

[tex]2x+ (100)= 180[/tex]

We are solving for x, so we must isolate the variable. 100 is being added to 2x. The inverse operation of addition is subtraction. Subtract 100 from both sides of the equation.

[tex]2x+100-100= 180-100 \\2x=180 -100 \\2x=80[/tex]

x is being multiplied by 2. The inverse operation of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac {2x}{2}= \frac{80}{2}[/tex]

[tex]x= \frac {80}{2} \ \\[/tex]

[tex]x=40[/tex]

The equation is (2x+7)+ 30+63= 180 and x is equal to 40.

5 + (-8) - (-10)

please help

Answers

Answer:

-7

Step-by-step explanation:

5 + (-8) - (-10)

5 - 8 + 10

-3 + 10

7

Answer:

7

Step-by-step explanation:

TUrns into 5-8-(-10)

5-8+10

PEMDAS the answer and youll get 7

A student says that the equation of the line that passes through the points (6, 1) and (6, 3) cannot
be written. Explain your thoughts on this statement. (Hint: examine the coordinates of the two
points carefully. What do you notice?)
I WILL MARK BRAINLYEST

Answers

Answer:

the points are very close together

Which is better to buy? 4-foot piece of ribbon for $7.68 or 544-inch piece of ribbon for $65.28

Answers

Answer:

4 foot ribbon

Step-by-step explanation:

Answer:

544

Step-by-step explanation:

$7.68 x 540 = 4,147.2

How many gallons are in a pool that holds 758,000 Liters

Answers

The answer is around 90 I believe

Answer:

200000 gallons

Step-by-step explanation:

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