triangle A' B' C' is the result of dilating ABC about point C by a scale factor of two. Determine whether each claim about the properties of A' B' C' and ABC is true or false​

Triangle A' B' C' Is The Result Of Dilating ABC About Point C By A Scale Factor Of Two. Determine Whether

Answers

Answer 1

True because all properties are preserved under dilation from triangle ABC to A'B'C'.

We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'

We have to determine after dilation,  the properties of triangle ABC and A'B'C' is true or false.

What is the transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.

here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.

So, the dilation of the triangle is not congruent but similar to the original triangle ABC

Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.

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Answer 2

Answer:

Step-by-step explanation:

The answer is FALSE for the first one AB and A'B' are on the same line.

and TRUE for the second one The measures of B and B' are equal.


Related Questions

Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is

Answers

Answer:

Area is 140 ft2

perimeter is 54 ft

Answer:

54 and 140

Step-by-step explanation:

If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.

The area is 140, because if you multiply 20 by 7, thn you get 140.

Hope that this helps!

1. Given sin B = 5/13 in QII, and (6.-8) is on the terminal side of a find the exact value of
sin(a + b).

Answers

Answer:

Step-by-step explanation:

that's difficult dude I'm just in grade 4

Questions and answers attached

Answers

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

100 ≤ (3)(c) + 43

(3)(c) + 43 ≥ 100


Please, Answer is needed.

Answers

Answer:

540 mins | 9 hours | 540, 9

420 mins | 7 hours | 420, 7

300 mins | 5 hours | 300, 5

180 mins | 3 hours | 180, 3

Step-by-step explanation:

1 hour = 60 mins

To convert hours into minutes, multiply the number of hours by 60 minutes:

9 hours × 60 mins = 540 mins

7 hours × 60 mins = 420 mins

5 hours × 60 mins = 300 mins

3 hours × 60 mins = 180 mins

Answer:

9          540,     540,9

7          420      420,7

5          300      300,5

3           180      180,3

                 

                   

                     

Step-by-step explanation:

There is 60 in one hour

9      *60    540,     540,9

7     *60     420      420,7

5     *60    300      300,5

3      *60    180      180,3

Hope that helps

calculate the reciprocal of -0.07 correct to 1 decimal place

Answers

Answer:

-14.3

Step-by-step explanation:

Use a calculator.

1/(-0.07) = -14.2857...

Answer: -14.3

A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?

Answers

J.

x represents the minutes and y shows how many gallons over that time.

The correct table for best represents the situation is shown in Table J.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A standard bathtub holds 60 gallons of water.

And, A full tub drains 12 gallons per minute.

Now, From table J;

Rate of change is,

⇒ (24 - 12) / (2 - 1)

⇒ 12 / 1

⇒ 12 gallons per minutes

Which is given in situation.

Thus, The correct table for best represents the situation is shown in Table J.

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To the nearest tenth of a centimeter what is the length of side ab

Answers

The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6

Calculating the side length of a triangle

From the question, we are to determine the length of side AB in the given triangle.

Using the law of sines, we can write that

AB/sinC = BC/sinA

From the diagram,

C = 50°

BC = 19

A = 40°

Thus,

AB/sin50° = 19/sin40°

AB = (19 × sin50°) / sin40°

AB = 22.6433

AB ≈ 22.6

Hence, the length is 22.6

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A 12-pound bag weighs more than a 200-ounce bag. True or false

Answers

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

Answer:

false

Step-by-step explanation:

12 pound=192 ounces

Find the area of the shaded region and choose the appropriate result.

Answers

Answer:

B)  12 cm²

Step-by-step explanation:

find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²


Please help!!
Find the coordinates of the vertex of the following parabola algebraically. Write your
answer as an (x, y) point.
y = 4x + 56x + 192

Answers

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

Step(i):-

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

Step(ii):-

The general form of the parabola in algebraically

                              y = a ( x-h)² +k

The equation

                          y = 4 ( x + 7 )² - 4

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

Final answer:-

The vertex of the parabola  = (-7 , -4)  

Find the circumference and the area of a circle
with the dimensions listed. Use the value 3.14 for π
,and do not round your answers. Be sure to
include the correct units in your answers.

a) diameter of 3 cm

b) radius of 5 ft

Answers

Step-by-step explanation:

Circumference

C = 3.14x3

C = 9.42cm

Area

A = 3.14xr²

A = 3.14x25

A = 78.5ft

Use the figure below to answer the question. What is the measure of ∠ABC? *

Answers

Answer:

D 98°

Step-by-step explanation:

180-82 = 98 or the long way

3x+5 = 180-82

3x = 93

x = 31

3(31) + 5 = 98

A spinner is divided into equal sections, each labeled with a number between one and five. Over the course of 150 spins, what is the best estimate of how many times you would expect that the hand of the spinner will stop on a 3?

Answers

140 is the answer for this question your welcome

3. *
1 point
3. What is the solution to this equation?
45.98 = 18.78 + 2x
64.76
32.38
27.2
13.6

Answers

Answer:

the answer is 13.6

Step-by-step explanation:

minus 18.78 on both sides

then divide by 2

madyson has 2 vases of flowers. Each vase has 6 flowers. Madyson must divide the flowers equally into three vases. how many flowers will be in each vase?

Answers

4 flowers because if you have 6 in both vases, you add those 6 together which make 12. Then you divide 12 by 3 and you get 4

6 x (36÷12)2 + 8 = =

Answers

6*(36/12)2+8

=44

Hope this helped :T

Answer: 44

Step-by-step explanation: PEMDAS tells us to solve what’s in the parentheses, exponents, then multiply, divide, add, and subtract from left to right.

What is the answer please help no links I will report

Answer choices

Five days

Four days

Six days

Answers

Five days.

Monday, Tuesday, Wednesday, Thursday, and Saturday are all above 15 on the chart.
Five days because the whole week is above 15

pls help
round to the nearest tenth, if needed.

Answers

Answer:

[tex]\pi[/tex] or 3.1

Step-by-step explanation:

The total area of the circle is [tex]3^2\pi[/tex]. The central angle of the shaded region is 40 degrees so we have to multiply [tex]3^2\pi[/tex] by [tex]\frac{40}{360}[/tex] or [tex]\frac{1}{9}[/tex]. 3 squared is 9 so 9[tex]\pi[/tex] times [tex]\frac{1}{9}[/tex] is just equal to [tex]\pi[/tex]. [tex]\pi[/tex]=3.14159265... rounded to the nearest tenth is 3.1

Hurry The mass of a standard hockey puck
must be at least 156 grams. What is
this weight in kilograms

Answers

Answer:

.156 kg

Step-by-step explanation:

The conversion from grams to kilograms is kg = g/1000

156/1000 = .156

A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.

Answers

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

The cost of producing x cars is given by:

[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]

So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]

300 cars must be made to minimize the unit cost

Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –

Answers

ppppp)is dilated from the origin by scale factor r to the world

Which is NOT true?
+
A.
5 + 14 = 20.- 1
B.
9 + 5 = 7 + 7
15 = 4 + 11
D.
15 - 9 = 9-4
What’s the answer

Answers

Answer:

D. 15 - 9 = 9-4

Step-by-step explanation:

Thank You :3

Answer:

D

Step-by-step explanation:

what should be added to 3/4+-5/6+1/2 to get 0

Answers

Answer:

-5/12

Step-by-step explanation:

3/4+-5/6+1/2 = 5/12

5/12 - 5/15 = 0

What is a cubic polynomial function with zeros -13, -2, and 7?

Answers

Answer: x^3+8x^2-79x-182

Step-by-step explanation:

(x+13)(x+2)(x-7)=x^3+8x^2-79x-182

Find the area of the sector.

Answers

Answer:

359.1887600604 so D should be right    

a rectangle with an area of 4/7m^2 is dilated by a scale factor of 7 what is the area of the dilated rectangle enter your answer in the box do not leave answer as a fraction

Answers

9514 1404 393

Answer:

  28 m²

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor.

  A' = 7²×A

  A' = 49×(4/7 m²) = 28 m²

The area of the dilated rectangle is 28 m².

Help me pleas I need help to solv this problem

Answers

Answer:

(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?

Step-by-step explanation:

ANSWER IMMEDIATELY! GIVING BRAINLIEST !!

Answers

Answer:

B.

Hope It help

Step-by-step explanation:

Brainliest p please

if x square plus 9 equal to 25,what is the positive value of x.​

Answers

Answer:

4

Step-by-step explanation:

25 - 9 = 16

4^2 = 16

4^2 + 9 = 25

Find the value of ((2 + 3)2 + (10 + 2)2)

Answers

Answer:

34

Step-by-step explanation:

parenthesis get done first!

((5)2+(12)2)

then multiplication

(10+24)

then addition

34

Answer:

5+12+4 =21

Step-by-step explanation:

21 is the answer I think

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