Triangle ABC was dilated and translated to form similar triangle A'B'C'.

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).

What is the scale factor of the dilation?

One-fifth
Two-fifths
Five-halves
5

Answers

Answer 1
The scale factor of the dilation is Two-fifths.
Answer 2

Answer:

C

Step-by-step explanation:


Related Questions

which of the following is the equation of the one that passes through the point

Answers

Answer:

C

Step-by-step explanation:

the answer is C

( -6 , 1 )

y = -1/2x - 2

if x = -6

y = -1/2(-6) - 2

y = 3 - 2

y = 1

Brook's score in a card game is 713 + 102 + 516. On her next turn, she draws one of the cards shown. Now her score is (713 + 102 + 516) ÷ 2. Which card did Brook draw? Explain.​

Answers

I dont know if its not supposed to be in a different form but i got 665.5 :)

Two years ago, Erin was 35 inches tall. To ride the roller coaster at a theme park, she must be at least 42 inches tall. If she was able to ride the roller coaster this year, how many inches did Erin grow?

Answers

Answer:

In two years erin grew 7 inches

Step-by-step explanation:

42 - 35 = 7

Answer:

atleast 7 inches

Step-by-step explanation:

35 inches - 42 inches = 7 inches

Two years ago, Erin was 35 inches tall.

To ride the roller coaster at a theme park, she must be at least 42 inches tall. So that means she grew atleast 7 inches

Two of the interior angles of a triangle are 84.0° and 30.0. Find the measure of the
third interior angle in degrees to one decimal place.

Answers

Answer:

66.0°

Step-by-step explanation:

The sum of the measures of the interior angles in a triangle is 180°.

Let "x" represent the measure of the third interior angle. We can use this to set up an equation:

84.0° + 30.0° + x = 180°

Add like terms:

114.0° + x = 180°

Subtract 114.0° from both sides:

x = 66°

The question asks for the answer to be in degrees to one decimal place, therefore:

x=66.0°

Factor 5x2y + 22xy – 15y.

Answers

Answer:

5y(x^2 - 3)

Step-by-step explanation:

Hope this helps :)

What is the factorization of the expression below?

16x^2 - 49

A. (4x + 7)(4x - 7)

B. (4x - 7)(4x - 7)

C. (8x - 7)(2x - 7)

D. (8x + 7)(2x - 7)

Answers

Answer:

[tex](4x+7)(4x-7)[/tex]

Step by step explanation:

[tex]16x^2 -49\\\\=(4x)^2-7^2\\\\=(4x+7)(4x-7)~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)][/tex]

no spammers pls and also giving brainliest to correct answer

Answers

b. triangles b & c
you can tell from the angles being the same and the measurements of triangle c being 2/3s of triangle b's measurements.
Triangle B and C are similar
The sides are in the ratio 3:2
And the angles and same: 37 degree, 53 degree and 90 degree

a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?

(someone asked this question but all the answers were wrong, so I am letting you know that the correct answer is 83.3%)

Answers

Answer:

83.3%

Step-by-step explanation:

use the equality below to answer the question
0.08g+0.2<5

Answers

Answer:

g< 0.0153

Step-by-step explanation:

0.08g +0.2 < 5

0.08g < 5 + 0.2

0.08g < 5.2

g< 0.0153

When spinning a penny, Claire believes the proportion of times the penny lands on heads is higher than 0.5. She spins a penny 50 times and it lands on heads 32 times. The P-value for the test of the hypotheses, H 0: p = 0.5, and H alpha: p greater-than 0.5, is 0.02, What is the correct interpretation of this value?

Answers

It depends on what the level of significance (alpha) is.

Since alpha is not stated, I'll assume that alpha = 0.05 by default.

Because the p-value is smaller than alpha, we reject the null hypothesis.

Therefore, we conclude that the alternative hypothesis is correct and the proportion of heads is greater than 0.5

In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?​

Answers

Splitting the rectangle in half creates two right triangles

The value of tan(x) is 4/3

How to determine the value of tan x?

To calculate tan(x), we make use of the following tangent ratio

tan(x) = Opposite/Adjacent

From the figure, we have:

Opposite = AD = 4

Adjacent = CD = 3

So, we have:

tan(x) = 4/3

Hence, the value of tan(x) is 4/3

Read more about tangent ratio at:

https://brainly.com/question/1592477

Answer:

4/3

Step-by-step explanation:

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill of $46.69, the amount of the tip is approximately $_____

Answers

Answer:

9 doller

Step-by-step explanation:

we will find 20 percent of 46.69

is=pxw divided by 100

=9.338

or 9 doller

The problem says to round the bill to the nearest dollar before calculating the 20% tip.

46.69 rounds to 47

47 x .20 = 9.40

The amount of the tip is approx. $9.40

I hope this helps and is the BRAINLIEST!

Good luck with your studies!

Help help help help aspab

Answers

Answer:

Straight

Step-by-step explanation:

∠RQT is a straight angle.

Answer:

Straight

Step-by-step explanation:

∠RQT is a straight angle with a measure of 180°.

hope this helps!! p.s. i really need brainliest :)

If 35% of a number is 56 and 25% of the same number is 40 find 60% of that number

Answers

35%= 56

100%= 56÷35×100

100%= 160

25%= 40

100%= 40÷25×100

100%= 160

60%= 160÷100×60

60%= 96

Rectangular rug has a perimeter of 3320 inches the length is 25 inches more than twice the width find the length and width of the rug

Answers

Answer:

length= 1115 inches

width= 545 inches

Step-by-step explanation:

The perimeter of the rectangular rug is the sum of the lengths of all its sides.

Start by defining the variables that we are going to use throughout our working.

Let the length and the width of the rug be L and W inches respectively.

Perimeter= 2(L +W)

Given that the length is 25 inches more than twice the width,

L= 2W +25 -----(1)

3320= 2(2W +25 +W)

Divide both sides by 2:

1660= 2W +W +25

1660= 3W +25

3W= 1660 -25

3W= 1635

Divide both sides by 3:

W= 1635 ÷3

W= 545

Substitute W= 545 into (1):

L= 2(545) +25

L= 1115

Thus, the length and width of the rug is 1115 and 545 inches respectively.

Original price 770$ is on sale at a 9% off what is the discount amount and sale price ?

Answers

Answer:

770 x 9/100 = 69.3

the discound amount = 69.3$

the sale price = 770 - 69.3 = 700.7$

69.3 is the discount amount
700.7 is the sale price

Use the distributive property to write the following expressions in expanded form. 4(x +y)

Answers

Answer:

4x+4y

Step-by-step explanation:

Answer:

4x + 4y

Step-by-step explanation:

To do this you need to know that the number (or variable) on the outside of the parenthesis must be multiplied to all of the numbers/variables on the inside of the parenthesis.

So here, you want to multiply x by 4:

4x

Then multiply y by 4:

4y

And because the expression is adding the x and y, it comes out as:

4x + 4y

Un portapapeles cuesta $2.23. Cuesta $0.58 más que un cuaderno. Lisa compró dos portapapeles
y un cuaderno. Ella pagó con un billete de diez dólares. ¿Cuánto cambio recibió Lisa? Usa un diagrama
de cinta para mostrar tu razonamiento.

Answers

Answer:

3.38

Step-by-step explanation:

primero tienes que restar 2.23 por 0.58 que es igual a 1.65 luego sumas 1.65 por 4.46 porque 2.23 multiplicado por 2 es igual a 4.46 y eso es igual a 6.11 luego tienes que restar 10 por 6.11 que es igual a 3.89

4) A circle has a circumference of 219.8 yd. What is the diameter of the circle?
a) 35 yd
b) 70 yd
c) 30 yd

Answers

Answer:

70

Step-by-step explanation:

Circumference = pi × diameter

219.8 = pi × diameter

219.8/pi = diameter

Diameter = 69.96....

= 70yd

What angles are acute GFE mlk dbc dba

Answers

Answer:

d and a

Step-by-step explanation:

an acute is an angle less than 90 degrees. a 90 degree angle is a right angle (klm) the only 2 angles smaller than (klm) are (gfe) and (dba)

Jack had m math problems to complete during his vacation. He solved the same number of problems everyday and finished them all in 5 days. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework

Answers

Jack's problems illustrates algebraic expressions

He solved m/5 problems everyday.75 questions were assigned in total

Number of problems solved per day

The given parameters are:

Problems = mNumber of days = 5

The number of questions solved per day is calculated as:

Daily = Days/Problems

So, we have:

Daily = m/5

Number of problems in the assignment

We have:

Daily = m/5

He solved 15 daily.

So, the equation becomes

m/5 = 15

Multiply both sides by 15

m = 75

Hence, 75 questions were assigned in total

Read more about expressions at:

https://brainly.com/question/723406

75 POINTS IF U GET THIS CORRECT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! James has a collection of 20 miniature cars and trucks. Cars make up 40% of the collection. If James adds only cars to his collection, how many cars must he add to make the collection 75% cars?

Answers

Answer:

28 cars

Explanation:

cars + trucks = 20

Let "n" be the cars added in the collection

cars : 20 * 40% = 8 carstrucks : 20 - 8 = 12 trucks

solve:

[tex]\rightarrow \sf \dfrac{8+n}{20+n} =75\%[/tex]

[tex]\rightarrow \sf {8+n} =(20+n)75\%[/tex]

[tex]\rightarrow \sf {8+n} =15+0.75n[/tex]

[tex]\rightarrow \sf {8-15} =0.75n-n[/tex]

[tex]\rightarrow \sf -7 =0.25n[/tex]

[tex]\rightarrow \sf n = 28[/tex]

Thus, he needs to add 28 cars in the collection to make the collection 75% cars.

Answer:

28 cars

Step-by-step explanation:

Total number of cars and trucks = 20

Cars make up 40% of the collection

⇒ Number of cars = 40% of 20

                              = 0.4 x 20

                              = 8 cars

⇒ Number of trucks = total collection - number of cars

                                  = 20 - 8

                                  = 12 trucks

To calculate how many cars must be added to make the collection 75% cars, set up a ratio equation with x being the number of cars to be added:

(Added cars + existing cars) to total collection = 75%

⇒ x + 8 : x + 8 + 12 = 75 : 100

⇒ x + 8 : x + 20 = 75 : 100

[tex]\sf \implies \dfrac{x+8}{x+20}=\dfrac{75}{100}[/tex]

⇒ 100(x + 8) = 75(x + 20)

⇒ 100x + 800 = 75x + 1500

⇒ 100x -75x = 1500 - 800

⇒ 25x = 700

⇒ x = 28

Therefore he would need to add 28 cars to his collection to make his collection 75% cars.

Check

Number of cars = 8 + 28 = 36

Number of trucks = 12

Total collection = 36 + 12 = 48

Number of cars / total collection = 36/48 = 0.75 = 75%

given tan 0= -15/8 where 270º < 0 < 360°
Given tan 0 =
Find cos 0

Answers

Answer:=8/17

Step-by-step explanation:

Find all the common factors of 9 and 15.
A) 1, 3
B) 1, 3, 9
C) 1, 3, 5, 9

Answers

Answer:

A common factor is a whole number which is a factor of two or more numbers.

[tex]factors \: of \: 9 = 1 \times 3 \times 3[/tex]

[tex]factors \: of \: 15 = 1 \times 3 \times 5[/tex]

since both of the numbers have only 1 and 3 in common.

therefore ,

Option A is correct.

______________________________________

______________________________________

Additional information

★ The highest common factor (HCF) is the greatest factor that will divide into two or more numbers.

★ The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.

hope helpful :D

Part A: Given sine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).


Part B: Given θ = 675°, convert the value of θ to radians and find sec θ.


(Picture below is equation stated in Part A)

Answers

Answer:

  A.  {60°, 120°, 420°}

  B.  θ = 15π/4; sec(θ) = √2

Step-by-step explanation:

A.

The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...

  θ = arcsin(√3/2) = 60°

The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...

  {60°, 120°, 420°}

__

B.

One degree is π/180 radians, so the given angle in radians is ...

  θ = 675° = 675(π/180) radians = 15π/4 radians

This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is

  sec(45°) = √2

The 4th-quadrant angle has the same sign, so ...

  sec(675°) = sec(15π/4) = √2

Help picture below problem 17

Answers

Answer:

40

Step-by-step explanation:

Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.

To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).

That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.

105 + 35 = 140

Now, let's subtract that from 180.

180 - 140 = 40

We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!

I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)

Find the value of each variable in the parallelogram.

Answers

Answer:

n=12

m=5

Step-by-step explanation:

n= 12 since they are parallel and equal

m+1=6 since they are parallel and equal

Opposite sides are equal in a paralleogram

m+1=6m=6-1m=5

And

n=12

Done!

I need help with this question can someone help??
Question is in photo :p

Answers

Answer:

The answer to this question is 0.6

Step-by-step explanation:

Answer = 0.6

Solution
12/20 = 0.6

In Steven's grade, 1/3 of the students have a sister. Of the students who have a sister, 3/5 also have a brother. What fraction of the students in Steven's grade have both a sister and a brother?

Answers

Answer:

You are looking for 1/2 OF 2/3

In word problems such as this OF

means to multiply.

(1/2)(2/3) = 2/6 = 1/3

Step-by-step explanation:

The area of a rectangular field is 1.12×10^45 square feet. If the length of the field is 7×10^11 feet, and the width of the field can be written as 1.6×10x feet, what is the value of x?

Answers

Answer:

x = 10^34

Step-by-step explanation:

length × width = area

area/length = width

width = (1.12 × 10^45 ft²)/(7 × 10^11 ft)

width = 1.12/7 × (10^45)/(10^11)   ft

width = 0.16 × 10^34  ft

width = 1.6 × 10^34  ft

width = 1.6 × x  ft

x = 10^34

The value of x is [tex]10^3^2[/tex]  or [tex]\rm x =10^3^2[/tex]

It is given that the area of a rectangular field is  [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]

It is required to find the value of x

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have:

Area of rectangle = [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]

The length of the rectangle = [tex]7\times 10^1^1[/tex] feet

The width of the rectangle = [tex]\rm 1.6\times 10x[/tex] feet

After putting the values in the formula, we get:

[tex]\rm 1.12\times10^4^5 =7\times 10^1^1\times\rm 1.6\times 10x[/tex]

[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\[/tex]

[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\\\rm x = 0.1\times 10^3^3[/tex]

[tex]\rm x =10^3^2[/tex]

Thus, the value of x is [tex]10^3^2[/tex]

Learn more about the area here:

https://brainly.com/question/14383947

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