determine the scale factor of the dilation, if OA = 8 and OA' = 32

Answers

Answer 1

Answer:

The scale factor is 4

Step-by-step explanation:

32(end product) divided by 8(original) = 4

Answer 2

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4


Related Questions

Enter the product in simplest form 8/12 x 3/8

Answers

Answer:

1/4

Step-by-step explanation:

I simplified before multiplying

8/12=2/3

2/3*3/8

Cross simplilify and get

1*1/4

1/4

Melkon travels 8/11 miles to the grocery store. Tamar travels 12 miles to the grocery store. Write the ratio of the distance Tamar travels to the distance Melkon travels as a fraction in simplest form. Write the ratio of the distance Melkon travels to the distance Tamar travels as a fraction in simplest form.

Answers

Answer: 33/2 and 96/11.

Step-by-step explanation:

The ratio of the distance Tamar travels to the distance Melkon travels:

[tex]\dfrac{12}{\frac{8}{11} } =\dfrac{12 \cdot 11}{8} =\dfrac{132}{8} =\dfrac{33 \cdot 4}{2 \cdot 4} =\dfrac{33}{2}[/tex]

The ratio of the distance Melkon travels to the distance Tamar travels:

[tex]\dfrac{\frac{8}{11} }{12} =\dfrac{8 \cdot 12}{11} =\dfrac{96}{11}[/tex]

PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
Which statements below are ALWAYS TRUE about Rectangles? Choose ALL THAT APPLY.

- Diagonals are perpendicular

- Diagonals bisect each other in diagonals are equal in length

- Diagonals bisect each other, but they are NOT equal in length

- Opposite sides are congruent

- All four sides are congruent

- Diagonals bisect 90° angles

- Diagonals DO NOT bisect 90° angles

Answers

3 Answers:

B) Diagonals bisect each other and diagonals are equal in lengthD) The opposite sides are congruentG) Diagonals do not bisect the 90 degree angles

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

Explanation:

Let's go through the answer choices one by one

A) This is false. If the diagonals were perpendicular, then we would have a square. The diagonals are also perpendicular for any rhombus and for any kite. For any non-square rectangle, the diagonals are not perpendicular.B) This is true. The diagonals bisect each other because we're dealing with a parallelogram. Any rectangle is a parallelogram. For any rectangle, the diagonals are equal in length as well. We can use SAS congruence theorem to prove this.C) This is false. The first part is true, but the second part contradicts what choice B is saying.D) This is true. The opposite sides of any rectangle are congruent, and they are parallel. E) This is false. Imagine a really stretched out or elongated rectangle. So not all four sides of a rectangle are the same length. If they were, then we would have a square.F) This is false. The diagonals do not bisect the angles unless we're dealing with a square. Again imagine stretching out a rectangle to make it very elongated. G) This is true since choice F was false.

The statements always true about rectangles are Diagonals bisect each other in diagonals are equal in length, Opposite sides are congruent, Diagonals DO NOT bisect 90° angles.

What is Rectangle?

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.

Diagonals are not perpendicular in rectangles. So first statement is wrong.

Diagonals bisect each other in rectangles and the length of the diagonals are equal.

Since the length of diagonals are equal, third statement is wrong.

Opposite sides of a rectangle are equal and are thus congruent.

In a rectangle, only opposite sides are congruent and equal. All the four sides are not equal and are thus not congruent.

Diagonals of a rectangle does not bisect 90° angles.

Hence the correct statements are shown.

Learn more about Rectangles here :

https://brainly.com/question/18983839

#SPJ6

Question 8 of 11
Simplify the following expression:
V-16 + V-25+5
O A. 14+01
O B. 5+9i
O C. 9-51
O D. 5 + 5411

Answers

The answer should be 5 + 9i

Answer: 5+ 9i

Step-by-step explanation:

1. Solve the system and find the solution.*
3x + 4y= 4
y = 3x - 14

Answers

I hope this helps luv, give me brainliest pls
the correct answer is x=2

FAST PLEASE A school assembly had 98 students in attendance, and 50% of them were first-graders. How
many first-graders were at the assembly?

Answers

Answer:

49

Step-by-step explanation:

50% is basically half so divide 98 by 2

You are playing the game "Hidden Treasure" and your hint is that the treasure is 9 spaces away from the point (0, 0). Which of the following points could contain the treasure?

Answers

Answer:

(9, 0)

(-9, 0)

(0, 9)

(0, -9)

Step-by-step explanation:

3 : 7 = 300 : x fill in the x for the equivalent ratios

Answers

Answer: 300:700

Step-by-step explanation:

If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for

I need help with this one

Answers

Answer:

Yes they are similar

Step-by-step explanation:

They have the same measurements adding up to 180.

Triangle RST angles are 120, 20, and 40

Triangle JKL angles are 120, 40, 20

Those are the same numbers.


The price of a 7-minute phone call is $1.05. What is the price of a 19-minute phone call

Answers

Answer:

19.95

Step-by-step explanation:

if you take 1.05 times it by 19 you get your answer

Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to
buy the scrapbook. Each sheet of paper costs $3.00. How many sheets of paper can she buy?

Answers

Answer:

7 sheets of paper

Step-by-step explanation:

$40-$19=$21

$21/$3=7 sheets of paper.

In words:

I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.

A bake sale sells cupcakes for $.75 and brownies for $.50 Billy spends $10 at the sale using C for cupcakes and beef or brownies write a linear equation for the amount spent by Billy for cookies and brownies

Answers

Answer:

Stuck on it

Step-by-step explanation:

Write in lowest terms:
9/(15x)

Answers

Answer:

Step-by-step explanation:

3x - 25

 ———————

    5  

Should be something similar to that, sorry If i couldn't help much.

Steph Curry scored 62 points in 36 minutes of playing time. What was the unit rate? (points per minute)

A. 9
B. 1 13/18
C. 25.3
D. 6

Answers

Answer:

b

Step-by-step explanation:

it is

Answer:

B. 1 13/18

Step-by-step explanation:

1 13/18 x 36 = 62

3x + 1 = -2 (solve for x)

Answers

Answer:

x = -1

Step-by-step explanation:

3x + 1 = -2

Subtract 1 from both sides.

3x = -2 - 1

Simplify -2 - 1 to 3.

3x = -3

Divide both sides by 3.

x = -1

Someone answer this for me. I will give u branily whoever right.

Answers

Step-by-step explanation:

21x+72+105+78=360

21x=105

x=5

(3x + 4) (1 - 1)
Evaluate the limit lim
a.-3
b. 3
c. 1
d limit does not exist

Answers

it d lol cause d is the smartest answer i know
The answer is d because 1-1=0 and you can’t simplify any further

Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:  28.765957 km/hour

This value is approximate. Round it however you need to.

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

Explanation:

Let's convert 75 minutes to hours.

75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr

So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is

speed = distance/time

speed = (130 km)/(1.25 hrs)

speed = (130/1.25) km per hour

speed = 104 km per hour

Let A = 104, so we can use it later.

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

Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.

From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hours

Overall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.

Dani's train travels 312 km in 3.25 hours.

That train's speed is...

speed = distance/time

speed = (312 km)/(3.25 hours)

speed = (312/2.35) km per hour

speed = 132.765957 km per hour, approximately

Let B = 132.765957 so we can use it later.

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

Lastly, we subtract the values of A and B to get the final answer

C = difference in train speeds.

C = B - A

C = 132.765957 - 104

C = 28.765957 km/hour

This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.

HELP PLEASE...........

Answers

Answer:

1. 9

2. 12

3. 26

Step-by-step explanation:

Answer:

1. 9

2. 12

3. 26

Step-by-step explanation:

An easy way to solve problems like this is to convert the percentage into a decimal, then multiply that decimal by the whole. For example, if I had the question "What is 10% of 100?", I would first convert the 10% to a decimal. 10% is the same as 10/100, which in decimal form is 0.1. I would then multiply 0.1 by  100 to find out how much 10% of 100 is. I get 10, so my answer is 10. Hope this helps!


Can anyone solve this?

Answers

Answer:

x = 35°

∠Q = 127°

∠R = 35°

 ∠P  = 18°

Step-by-step explanation:

x + 2x + 57 + x - 17 = 180  {Angle sum property of triangle}

x + 2x + x +57 -17 = 180            {Combine like terms}

         4x  + 40      = 180

                      4x  = 180 - 40

                      4x = 140

                         x = 140/4

                       x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°

I will give brainliest please help​

Answers

Answer:

2.5

Step-by-step explanation:

[tex] \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5[/tex]

2.5 would be the answer !!!!

A +3178 equals 6000 evaluate

Answers

Answer:

A=2822

Step-by-step explanation:

A+3178=6000

A=6000-3178

A=2822

solve the equation 1/2x+7=18

Answers

Answer: 22

Step-by-step explanation:

Solve for x

   1/2x + 7 = 18

Combine 1/2 and x.

  x/2+ 7 = 18

Move all terms not containing x to the right side of the equation.

Subtract 7 from both sides of the equation.

  x/2= 18 − 7

  x/2 = 11

Multiply both sides of the equation by 2.

  2 ⋅ x/2 = 2 ⋅ 11

Simplify both sides of the equation.

Cancel the common factor of 2.

  x = 2 ⋅ 11

Multiply 2 by 11.

  x = 22

solve for y.
-13=4y+3​

Answers

Answer:

-13=4y+3 -3

-16=4y ÷4

-4=y

Step-by-step explanation:

hope it helps ^^

Answer:

y = -4

explenation in picture

The total number of seats in an auditorium is modeled by the function
f(x) = 2x2 - 6x, where x represents the number of rows of seats.

How many rows are there in the auditorium if it has a total of 416 seats?

Answers

There are 16 rows in the auditorium

Angles in a triangle

Answers

Answer

1=62

2=45

3=24

Angle 1

1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).

1+118=180

180-118=1

1=62

Angle 2

The angles in a triangle add up to 180 degrees.

You know that angle 1 is 62 degrees.

And the other angle is 73 degrees.

You can now find angle 2.

62+73+2=180

2=180-62-73

2=45

Angle 3

Angle three is in a different triangle.

You already know that the angles in a triangle added up are 180 degrees.

The other missing angle in the triangle can be found by subtracting 73 from 180.

180-73=107

Now you know that two of the angles in the triangle are 107 and 49.

You can now find angle 3.

107+49+3=180

3=180-107-49

3=24

you should give the person above a brainliest!! :)

my question is on the image it would mean the world to me if you could help

Answers

Answer:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

                                               Function f(x)

Given the function f(x)

x            f(x)

-3          -0.5

-2           0

-1            0.5

0             1

Finding the slope between any two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)[/tex]

[tex]m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}[/tex]

[tex]m=0.5[/tex]

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

                                             Function g(x)

Taking two points from the given graph of g(x)

(1, 0)(0, 2)

Finding the slope between (1, 0) and (0, 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)[/tex]

[tex]m=\frac{2-0}{0-1}[/tex]

Refine

[tex]m=-2[/tex]

Thus,

The slope of g(x)  = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

FOR function f(x)

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

FOR function gx)

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

if I was 15 ft tall and I grew 17 yards how much have I grown​

Answers

Answer:

66 ft or 22 yards

Step-by-step explanation:

1 yard = 3 ft.

Convert 15 ft to yards (multiply by 3) and add 17.

1. 42

2.70

3.35

4.84

Helpppppppppp

Answers

Answer = 84

Step-by-step explanation :

Area = b • h

14 = b
6 = h

14 • 6 = 84
Answer: 35
Explanation: I honestly put it in a triangle generator and it gave me the answer I promise it’s right

What is the volume of the following rectangular prism?
2 units
3
3- units?
Plssss help ASAP!!!

Answers

Answer:

13.5

Step-by-step explanation:

ngl i asked siri

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