Triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle ABC congruent to triangle A'B'C'? Explain your answer.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Congruent means having the same size and shape.

If triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size

This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.

Answer 2

Triangle ABC is not congruent to triangle A'B'C'

How to determine the congruent statement?

The triangles are given as:

Triangle ABC and A'B'C'

The other parameters are:

Scale factor, k = 1/2

Center = Point A

Since the scale factor is not 1, then the triangles would not be congruent; but they would be similar

Hence, triangle ABC is not congruent to triangle A'B'C'

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Related Questions

the length of each side of a cube is 3x+10 Write a polynomial in standard form to represent the surface area of the cube

Answers

Answer:  54x^2+360x+600

==========================================================

Explanation:

One square face has an area of

(length)*(width) = (3x+10)(3x+10) = 9x^2+30x+30x+100 = 9x^2+60x+100

after using the FOIL rule

Multiply that by 6 to get the total area of all 6 faces

6*(9x^2+60x+100) = 54x^2+360x+600

The surface area units are in square feet.

PLEASE HELP
If p(-3) = 18, how would you represent this as an ordered pair?

Answers

An ordered pair is written as (x, y)

P(-3) = 18

The -3 is the x value and the 18 is the y value

Answer: (-3,18)

a) The hypotenuse of a right angled triangle is 15 cm. Taking the
perpendicular sides as x , y write the relation connecting the sides ?
b) If the area is 30 cm² find the length of its perpendicular sides ?

Answers

a) By Pythagoras theorem , h^2 is = a^2 + b^2 where a is the hypotenuse and a and b are the legs.

=) 15^2 = x^2 + y^2

That is the relation

b) area of triangle = 1/2 x height x base

=) 1/2 * x * y = 30

=) xy = 15cm

If a square has an area of 0.25 square unit, what is the side length of the square?

Answers

Answer:

0.5

LxW=A

0.5x0.5=0.25

Answer:

the side length of square is 0.5 unit.

Step-by-step explanation:

area of square = l^2

0.25 = l^2

[tex]\sqrt{0.25[/tex] = l

0.5 = l

whats the factor of. [tex]3mx^{2} -19mn+6nx^{2}[/tex]

Answers

the answer is 122222
Use the Brainly math part auto answer

What is the conversion for m/s to km/h ?

Answers

Answer:

3.6km/hr

Step-by-step explanation:

What is the conversion for m/s to km/h ?

According to the conversion

1m = 0.001km

1s = 1/3600 hr

m/s to km/hr = 0.001/(1/3600)

= 0.001×3600

= 3.6

Hence the conversion is 3.6km/hr



Linda is doing car wash with her teammates to collect money for their trip. They can

get $12 for the car that they wash. In order to start their work, they spent $155 to buy

supplies needed for the work.

Part A:

Create a function f(c) to represent the profit that they make for washing c cars.

f(c) =

(b)

Part B:

Use the function rule that you created on Part A to find the value of f '(145)

f-? (145)

Answers

9514 1404 393

Answer:

  (a) f(c) = 12c -155

  (b) f⁻¹(145) = 25

Step-by-step explanation:

(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...

  f(c) = 12c -155

__

(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...

  145 = 12c -155

  300 = 12c . . . . . . add 155

  25 = c . . . . . . . . . divide by 12

  f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145

George bought a cylindrical tank for his garden but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit in. The seller told him the volume and the height, calculate the diameter of the tank using the information below

“ the volume of the tank is 300 π ft^2 and its height is 10ft

Answers

Answer:

[tex]d = 2\sqrt{30}[/tex]

Step-by-step explanation:

Given

[tex]Volume = 300\pi ft^3[/tex]

[tex]Height =10ft[/tex]

Required

The diameter

The volume of a cylinder is:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]300\pi = \pi * r^2*10[/tex]

Divide both sides by the common factors

[tex]30 = r^2[/tex]

Take square roots of both sides

[tex]r = \sqrt{30}[/tex]

The diameter is:

[tex]d=2r[/tex]

So:

[tex]d = 2* \sqrt{30}[/tex]

[tex]d = 2\sqrt{30}[/tex]

or

[tex]d = 10.95[/tex]

please answer this question step by step with formula.
Sam Store orders 200 pens that list for $0.5 each, 150 pads that list for $0.7 each, and 100

pencils that list for $0.2 each. The single trade discount rate for the order is 15%. Find the net

price of the order and the amount of discount.​

Answers

Answer:

Net price = $191.25

Discount Price = $33.75

Step-by-step explanation:

Cost of one pen = $0.50

Cost of 200 pen = 200 × 0.50 = $100

Cost of one pad =$0.70

Cost of 150 pads = 150 × 0.70 = $105

Cost of one pencil = $0.20

Cost of 100 pencils = $20

Total cost of the order = 100 + 105 + 20 = $225

Discount % = 15% of 225

Discount price = ( 15% × 225) = $33.75

Total amount after discount = 225 - 33.75 = $191.25

What single transformation maps AABConto AABC?​

Answers

Answer:B

Step-by-step explanation: There is a mathematical way to do this , but the simplest way is just to imagine all of the transformations and choose the most reasonable one. All of the other answers are ridiculous.

Mandy borrows $10,000 for 3 years at a 6% interest. What is the cost of the loan, or total interest?​

Answers

Answer:

Interest Earned ₹ 1,800

Principal Amount ₹ 10,000

Total Value ₹ 11,800

The cost of the loan for Mandy will be $11800 and the total interest for 3 years will be $1800.

What is simple interest?

Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

In another word, if the principle amount is the same in each time period then the interest will also same for every time period.

Given that

Principle amount = $ 10000

Time period = 3 years

Rate of interest = 6%

Rate of interest at the end of 1st year

10000 × 6/100 ⇒ $600

Since in simple interest rate of interest remain same so

Rate of interest for 3 years

3 × 600 = $ 1800 hence rate of interest will be $1800.

Cost of the loan = principle amount + total interest

Cost of the loan = 10000 + 1800 ⇒ $11800 will be the cost of the loan.

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please help me to do I want primeter and area of this​

Answers

1. Perimeter- 6+6+3+3= 18cm
Area- 6*3=18 sq cm

2. Perimeter- 3+5+4=12cm
Area- 6 sq cm

3. Perimeter- 2+2+7+7= 18cm
Area- 2*7= 14 sq cm

4. Perimeter- 9+9+9+9= 36cm
Area- 9*9= 81 sq cm

answer only one question​ No 1 only​

Answers

-10369

too lazy but that's the exact value

Answer:

Step-by-step explanation:

(-2)³ *(-4)² * 3⁴ = (-8) * 16 * 81

                      = -10368

please help meeeeeee
pt5

Answers

Answer:

roots and zeroes.

Explanation:

Zeroes are the solution of any polynomial equation, but when it comes to quadratic equation, we use the term, roots.

So therefore, we use the term zero, for it is a polynomial, and root, for it's a quadratic equation.

Hope you understand

Thank You

Please mark as brainliest

Answer:

see explanation

Step-by-step explanation:

The solutions of a quadratic equation are referred to as

x- intercepts, roots , zeros

8 ? i need answers asap

Answers

Answer: SInce this is multiple choice I won't provide an explanation. The answers are B) (-1, -4) and E) (4, 6)

Bạn dự định một năm nữa kể từ hôm nay, bạn sẽ mở một tài khoản tiết kiệm 100 triệu đồng với lãi suất niêm yết của ngân hàng là 8%/ năm
a, Nếu bạn chia tài khoản tiền gửi 100 triệu đônbf ghành 5 tài khoản tiền bằng nhau, mỗi tài khoản 20 triệu đồng để gửi vào cuối năm 1,2,3,4 và 5 thì số dư tài khoản tiền gửi của bạn sẽ là bao nhiêu vào cuối năm thứ 5, với lãi suất 8%/năm và ghép lãi hằng năm ?

Answers

Answer:

Sorry dont understand

Khanacademy Units: Sequences
What does f(3) equal?

Answers

Answer:

f(3) = 100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{f(1) = 4} \atop {{f(2) = 25} \atop {f(n) = f(n - 2) \cdot f(n - 1)}} \right.[/tex]

Step 2: Evaluate

Substitute in n [Function f(n)]:                                                                            f(3) = f(3 - 2) · f(3 - 1)Simplify:                                                                                                            f(3) = f(1) · f(2)Substitute in function values:                                                                            f(3) = 4 · 25Multiply:                                                                                                              f(3) = 100

The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this equation tell us?​

Answers

Answer:

30 plus 70 equals 100

Step-by-step explanation:

it tells the gum explicit equation

A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y.
Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198
a) Write the regression equation with parameters from the R output.b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine?c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter.d) What is the value of the correlation coefficient?e) Calculate a 95% confidence interval for the slope of the model.f) Based on the confidence interval, is there a linear relationship between X and Y?

Answers

Answer:

Y = 0.0315x + 9.4764

Residual = 2.35

Correlation Coefficient = 0.847

Step-by-step explanation:

From the R output given :

Intercept = 9.4764

Slope = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

The regression equation :

y = bx + c

b = slope ; c = intercept

y = 0.0315x + 9.4764

Prediction using the regression equation :

The predicted y value, when x = 250

y = 0.0315(250) + 9.4764

y = 17.3514

The residual, if actual annual concentration = 15

Y residual = 17.35 - 15 = 2.35

The correlation Coefficient value, R

R = √R²

R = √0.717

R = 0.847

What is a number divided by 3
gives a remainder of 1, divided by 4
gives a remainder of 2, divided by
5 gives a remainder of 3?

Answers

Answer:

58

Step-by-step explanation:

58/3 gives a remainder of 1

58/4 gives a remainder of 2

58/5 gives a remainder of 3

Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1).

{9x,x−4,x<−1x≥−1
Question 17 options:

f(–3) = –7, f(0) = –0, and f(–1) = 5


f(–3) = –27, f(0) = –4, and f(–1) = 5


f(–3) = –7, f(0) = –4, and f(–1) = –1


f(–3) = –27, f(0) = –4, and f(–1) = –5

Answers

Given:

The piecewise function is:

[tex]f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}[/tex]

To find:

The values of [tex]f(-3),f(0), f(-1)[/tex].

Solution:

In the given piecewise function,

[tex]f(x)=9x[/tex] for [tex]x<-1[/tex] and [tex]f(x)=x-4[/tex] for [tex]x\geq -1[/tex].

Putting [tex]x=-3[/tex] in [tex]f(x)=9x[/tex], we get

[tex]f(-3)=9(-3)[/tex]

[tex]f(-3)=27[/tex]

Putting [tex]x=0[/tex] in [tex]f(x)=x-4[/tex], we get

[tex]f(0)=0-4[/tex]

[tex]f(0)=-4[/tex]

Putting [tex]x=-1[/tex] in [tex]f(x)=x-4[/tex], we get

[tex]f(-1)=-1-4[/tex]

[tex]f(-1)=-5[/tex]

The required values are [tex]f(-3)=27,f(0)=-4,f(-1)=-5[/tex].

Therefore, the correct option is D.

Calculate the total number of pizzas that must be bought for a birthday party if
each pizza is cut into 8 slices and each 26 children invited would be given 3
slices.

Answers

Answer:

10

Step-by-step explanation:

26×3=78

78÷8=9.75

round up to 10 since you can't buy .75 of a pizza

The exact area of a hub cap on a tire is
[tex]625\pi[/tex]
cm². What is the hub cap's radius?​

Answers

25 cm, because the area of the circle is 25^2pi=625pi

Please helpppppppppppp

Answers

Answer:

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

Step-by-step explanation:

A. Determination of the time it takes for the object to 1000 ft.

Distance (d) = 1000 ft

Time (t) =?

t = √(d/16)

t = √(1000/16)

t = 8 s

B. Determination of how much feet an object will fall in 10 s.

Time (t) = 10 s

Distance (d) =?

t = √(d/16)

10 = √(d/16)

Take the square of both side

10² = d/16

100 = d/16

Cross multiply

d = 100 × 16

d = 1600 ft

SUMMARY

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

easy math questions please help me:)! solve for x and show work

Answers

Answer:

4) 93°

5) 1°

6) 51°

7) 6°

Step-by-step explanation:

4)

180 - 36 - 51 =  93

93 °

5)

(4x + 27 ) = 180 - 64 - 85

4x + 27 = 31

x = 1

6)

theory of exterior angles in a triangle:

21 + 30 = x

x = 51

7)

3x + 42 = 46 + 44

3x + 42 = 90

3x = 48

x = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

help with multi step inequalities please

Answers

Answer:

B. The solution is valid because all steps to solve the inequality for F are correct.

Step-by-step explanation:

F - 32 ≤ 0

Add 32 to both sides of the equation to have;

F -32 + 32 ≤ 0 + 32

F ≤ 0 + 32

F ≤ 32

It can be observed that to solve for F, the steps are correct. Thus the solution is valid. Therefore, the correct choice in the given question is the solution is valid because all steps to solve the inequality for F are correct.

What is the value of x?


A triangle is given and a line is drawn from the vertex on the opposite side such that 2 triangles are formed. 1st triangle has 2 equal sides and vertex angle as 64 degrees and 2nd triangle has 2 equal sides and vertex angle as x degrees is given.

Answers

Answer:

116 degrees

Explanation:

If we divide the triangle from the vertex of the triangle, the vertex angle of each triangle would lie on a straight line in the triangle. Angle on a straight line is 180 degrees.

If the vertex angle of one triangle is 64 degrees then the vertex angle x of the other triangle is 180 degrees - 64 degrees = 116 degrees.

please help me please help me please help me please help me please help me please help me please​

Answers

i think the answer might be 4 i could be wrong though

Answer:

the first one is 4 and the second one is 0

You are standing in a 50 meters from a siloThe angle of elevation to the top is need to of to the at which you are standing. What is the shortest length of rope used?

Answers

Answer:

77.786 m

Step-by-step explanation:

The shortest length of the rope used cabnbe obtained using trigonometric relation :

Shortest length of the rope = hypotenus

Using the relation :

Cos θ = Adjacent / hypotenus

Adjacent = 50 ;θ = 50°

Cos 50 = 50 / hypotenus

Hypotenus = 50 / cos 50

Hypotenus = 77.786 m

A graph is shown below:

A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.

What is the equation of the line in slope-intercept form?

Answers

Answer:

b

Step-by-step explanation:

The equation of the line in slope-intercept form is y= 4x+0

What is slope intercept?

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

slope m,

= y2-y1/x2-x1

= 16-0/4-0

=16/4

=4

m=4

So, the equation will be , y= 4x+0

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