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Part 1: Figure A is a dilated image of Figure B. Find the scale factor. #1 and 2​

NO LINKS!!Part 1: Figure A Is A Dilated Image Of Figure B. Find The Scale Factor. #1 And 2

Answers

Answer 1

Take one side

B=3unitsA=9units

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{1}{3}[/tex]

Scale factor (B to A)=3

#2

B=6unitsA=4units

Scale factor Bto A:-

4/6=2/3

Scale factor (Ato B)=3/2

Answer 2

Answer:

The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:

[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]

For these questions:

new shape = Figure Aoriginal shape = Figure B

Question 1

Top edge of Figure A = 9 unitsTop edge of Figure B = 3 units

[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]

Question 2

Width of Figure A = 4 unitsWidth of Figure B = 6 units

[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]


Related Questions

If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?

Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

[tex]The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}[/tex]

[tex]so\ the\ probability\ of\ getting\ six[/tex]

[tex]tails\ is[/tex]

[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}[/tex]

[tex]The\ probability\ of\ getting\ tails\ every[/tex]

[tex]time\ you\ multiply\ them\ is\ the[/tex]

[tex]probobility\ of\ getting\ tails\ all\ six[/tex]

[tex]times?[/tex]

I hope this helps you

:)

Question 1 The diagram below shows the straight line joining points A and B. YA A(-1,6) 0 х B (3,-2) Find the equation of the line AB. Give the equation in its simplest form.​

Answers

Answer:

y+2x=4

Step-by-step explanation:

use the formula of equation of line

The equation of line is y= 4 - 2x.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given co- ordinates:

A(-1,6) and B (3,-2)

slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]

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

slope = (-8) / (4)

slope = -2

Now, the equation of line

([tex]y-y_1) = m (x - x_1)[/tex]

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

y-6 = (-2)(x + 1)

y-6 = -2x -2

y= 4 - 2x

Hence, the equation of line is y= 4 - 2x.

Learn more about slope here:

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Give the numbers 12 and 4. Find out how much is the sum and difference of these numbers.

Answers

Answer:

The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.

Step-by-step explanation:

12 + 4 = 16

12- 4 = 8

4 - 12 = -8

A Triangle has a perimeter of 80 feet. If the three sides of the triangle are, n, 3n + 7, and 3n + 3, what is the length of each side?​

Answers

Answer:

Step-by-step explanation:

Givens

Perimeter = 80 feet

side 1 = n

side 2 = 3n + 7

side 3 = 3n + 3

Formula

Side 1 + side 2 + side 3 = 80

Solution

Substitute the length for each side into the equation

n + 3n + 7 + 3n + 3 = 80

7n +10 = 80                            Subtract 10 from both sides

7n + 10 - 10 = 80 - 10             Combine

7x = 70                                   Divide by 7

7x/7 = 70/7                             Combine

x = 10

Answer

Side 1 = n = 10

Side 2 = 3n + 7 = 3*10 + 7 = 37  

Side 3 = 3n + 3 = 30 + 3 = 33

Find the scale factor and ratio of perimeters for a pair of similar octagons with areas 9 ft^2 and 16 ft ^2 .

Answers

Answer:

3/4 ratio

Step-by-step explanation:

This is the answer

Some pens are shared among three students anne,lucy, and John.Anne gets 5 times many pens as lucy, and lucy gets 2 pens less than john. Suppose John gets x pens, how many pens does anne get in terms of x

Answers

Using a system of equations, it is found that Anne gets 5x - 10 pens.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we consider that John gets x pens.

Lucy gets 2 pens less than john, hence:

L = x - 2.

Anne gets 5 times many pens as lucy, hence:

A = 5L = 5(x - 2) = 5x - 10.

More can be learned about a system of equations at https://brainly.com/question/24342899

Triangle ABC has vertices A (-4,4), B(0, 3), and C(1,-1). Find the vertices of triangle A'B'C' after a
reflection across the x-axis.

Answers

Reflection is flipping. The x axis is the horizontal line. If you flip a shape over the x axis, it will still stay in the same area for the horizontal points, it's the vertical points that will change, but only their signs will because a reflection isn't moving a shapes location completely. Think of it like Flipping the page of a book. If you drew a triangle on your book page and flipped the page, it would still be in the same area just the opposite side/direction. Just make the y axis (second number in brackets) points the opposite sign to solve

-4,-4 0,-3. 1,1

can someone please help me

Answers

Answer:

x = 49

Step-by-step explanation:

corner point b = 41

d = right angle ( 90 )

90 + 41 = 131

180- 131 = 49

x = 49

p.s

im not sure if d is a right angle if it is not please inform me.

Question 2 of 10
Classify the following triangle. Check all that apply.
9
11.4
I A. Right
B. Obtuse
C. Isosceles
DD. Acute
O E. Scalene
OF Equilateral
SUBMIT

Answers

Hello, it seems your questions didn't upload correctly. Are you able to resend it?

The problem is write you answer using ONLY positive exponents

Answers

Answer:

z^10/z^5 = z^5

Step-by-step explanation:

if it is divide, you minus, so z^10/z^5 is z^5.

Complete the table below.
ਪੁ = 22 y = 21
0
0
1
1
1
1
2

Answers

Answer:

20.1168

Step-by-step explanation:

Step-by-step explanation:

A cup contains 438 grams of sand. A bucket contains 2,120 grams of sand.

How many more grams of sand are in the bucket than the cup?

Answers

The bucket that contains 2120 grams of sand and a cup that contains 438 grams of sand , the bucket of sand has 1682 grams of sand than the cup of sand in the cup.

How to calculate difference in mass?

A cup contains 438 grams of sand. A bucket contains 2120 grams of sand.

Therefore, the number of more grams of sand in the bucket than the cup is as follows:

mass of sand in cups = 438 grams

mass of sand in the bucket = 2120 grams

Therefore,

difference in mass = 2120 - 438

difference in mass = 1682 grams

Therefore, they are 1682 grams of sands in the bucket than the cup.

learn more on mass(grams) here: https://brainly.com/question/12843854

3⋅2t
a. Evaluate the expression when t is 1.

b. Evaluate the expression when t is 4.



pls hurry its due in 5 mins

Answers

Answer:

Step-by-step explanation:

a) substitute t = 1 in the expression

3 - 2t = 3- 2*1

          = 3 - 2

          = 1

b) substitute t = 4 in the expression

3 - 2t = 3 - 2*4

         = 3 - 8

         = (-5)

Which number is a common multiple of 2 and 3?

A) 8
B) 16
C) 28
D) 36

Answers

Answer:

D

Step-by-step explanation:

36 can be divided by both 2 & 3

Answer:

The answer is D.

Step-by-step explanation:

2x18=36

3x12=36

What is the center and radius of the circle?
(x-3)2 + y² = 4

Answers

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given equation:

[tex]\sf (x-3)^2+y^2=4[/tex]

Rewrite in standard form:

[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]

Therefore

center = (3, 0)radius = 2

Please help with this

Answers

Answer:

1) the quadratic formula2) factoring (zero product property)

Step-by-step explanation:

1) using quadratic formula

(b)² - 4ac  ----(always write the formula)

3 ( 4x + 1 )² - 5 =25

(12x + 1)² - 5 = 25 (using (a+b)^2)

144x² + 24x +1 - 5 = 25

144x²+ 24x - 4 = 25

144x² + 24x =29

144x² + 24x - 29= 0 (thus, formed and equation)

A=144, b= 24, c= -29

(24)² - 4(144 X -29)

576 - 4 X -4176

576 + 16704=0

17280>0, therefore it has 2 distinct real roots

2) x²-8x+12=0

sum= -8, product= 12

-2,-6

so,

x²-2x -6x + 12

x ( x - 2 ) -6 ( x - 2 )

(x-2) (x-6)

X= 2, 6

Hope it is correct and helpful

Stay safesorry for the late answer

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Part 2: Figure A is a dilated image of Figure B. Find the scale factor. #3 and 4​

Answers

Answer:

Step-by-step explanation:

Take one side length

B=16unitsA=12units

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{16}{12)=\dfrac{4}{3}[/tex]

Scale factor (B to A)=1/4/3=3/4

#4

B=4unitsA=8units

Scale factor (A to B)

4/8=1/2

Scale factor (B to A)

2


How do I find the volume?

Answers

Answer:

150m^3

Step-by-step explanation:

The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.

Please help I'll mark brainliest. ​

Answers

Answer:

I believe the answer is class 3 because each number of boys and girls goes into class 3.

Answer: Class 3.

Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10.  Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class.  Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.

Have a great day! :)

3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?

Answers

Answer:

The mean is 24 ( I think)

Step-by-step explanation:

SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.

The mean of magazines he sold is 24

10ft,10ft,4ft what is the area

Answers

Answer:

400 ft sq

Step-by-step explanation:

Area = Length x Width x Height

10 x 10 x 4

100 x 4

400

Have a great day!!

Please rate and mark brainliest!!

400 ft^2………………………………

Barry has two cubes of different sizes. The first cube has a volume of 1 cubic unit. The second cube has sides one-third as long as the first cube does. What is the volume of the second cube?

Answers

Answer:

1/27 units cubed or 0.037037... units cubed

Step-by-step explanation:

Volume of a cube = s*s*s : Where s is a side length.

The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)

The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.

Volume of second cube= (1/3s)(1/3s)(1/3)s

Volume of second cube= (1/3)(1/3)(1/3)

Volume of second cube= 1/27

Eight striped ties and 6 polka dot ties are on a
rack in a dark closet. What is the probability
of drawing out one polka dot tie? Write your
answer as a decimal rounded to two decimal
places.

Answers

Answer: 6 out of 14 or 3 out of 7

Step-by-step explanation: just add up all the ties and put polka dot ties out of the total and

what is the area of the parallelogram?​

Answers

The area of a parallelogram is the product of:

   --> length of the base and the height

length: 7ftheight: 5ft

Thus the area = 7 * 5 = 35 square feet

Hope that helps!

What is x in "5x + (x+12)+(2x+4)"

Answers

Answer:

[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]

Step-by-step explanation:

You have to isolate the term of x from one side of the equation.

Distributive property:

A(B+C)=AB+AC

5x+(x+12)+(2x+4)

5x+(x+12)+(2x+4)=5x+x+12+2x+4

5x+x+12+2x+4

Group and combined like terms.

5x+x+2x+12+4

Add the numbers from left to right.

12+4=16

Rewrite the problem down.

5x+x+2x+16

Then, you solve.

5x+x=6x

6x+2x=8x

8x+16

As a result, the final answer is 8x+16.

I hope this helps you! Let me know if my answer is wrong or not.

On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?

Answers

Answer:

Yes

Step-by-step explanation:

An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week

A group of researchers wants to estimate the difference in time it takes to heal enough to return to work after knee replacement surgery using two different physical therapy plans. They plan to use the data in the following table to construct a two-sample t interval.

Therapy plan A B
Mean healing time (weeks) 8.2 6.8
Standard deviation (weeks) 1.5 0.9
Number of participants 45 60

Which of the following are conditions for this type of interval?

Choose all answers that apply:


A. The times for each participant are independent of each other.


B. The distributions of times in the population are approximately normal.


C. Each sample includes equal numbers of men and women.

Answers

Answer:

A

Step-by-step explanation:

Got it right on Khan Academy.

Hope this helps!

Please mark as brainliest!

The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

choices:
a.
$5.98

b.
$6.00

c.
$5.67

d.
$6.30​

Answers

Answer:

Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

1 answer

·

1 vote:

$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)

Missing: choices: ‎$5.98 ‎$6.00 ‎c. ‎$5.67 ‎d. ‎$6.30​

Step-by-step explanation:

The lowest price you can charge is $6.30

How to determine the cost?

We have:

Skillet brownie = $1.89Percentage of food cost = 30% or lower

The lowest price you can charge is calculated as:

Lowest = Skillet brownie/Percentage

This gives

Lowest = $1.89/30%

Evaluate

Lowest = $6.30

Hence, the lowest price you can charge is $6.30

Read more about percentages at:

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Need help with his geometry question. Find the value of x

Answers

[tex] \frac{12}{16} = \frac{x}{13} [/tex]

[tex]16x = 12 \times 13[/tex]

[tex]x = \frac{12 \times 13}{16} [/tex]

[tex]x = \frac{156}{16} = 9.75[/tex]

Find the measure of ∠b.

Answers

Answer:

B. 38°

Step-by-step explanation:

The angles of a triangle add up to 180.

So, 62 + 80 + b will add up to 180.

First, we add 62 =80, which gives us 142.

The we subtract 142 from 180, which gives us 38.

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