Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.

Answers

Answer 1

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

[tex]AC =18cm[/tex]

[tex]AC' =3cm[/tex]

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

[tex]k = \frac{AC'}{AC}[/tex]

This gives

[tex]k = \frac{3cm}{18cm}[/tex]

Remove the common units

[tex]k = \frac{3}{18}[/tex]

Reduce fraction

[tex]k = \frac 16[/tex]

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

https://brainly.com/question/3457976


Related Questions

Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maximum speed of 21.92 21.9221, point, 92 miles per hour ( mph ) (mph)left parenthesis, start text, m, p, h, end text, right parenthesis. Which of the following equations, where d dd is distance in miles and t tt is time in hours, represents a speed that is less than that of the leatherback sea turtle?

Answers

Answer:

ang hirap naman plss answeer

Hurry !!!A typical barrel of bot-oil contains 70 liters of oil. If a hole in the barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.

Answers

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

Define Rational number? And give some examples..​

Answers

Answer:

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)

Which inequality represents this sentence?
A number is at least 65
On < 65
On > 65
On > 65
On < 65

Answers

Answer:

n ≥ 65

Step-by-step explanation:

A number is at least 65. It means the number n can be 65 or greater.

Its translation is:

n ≥ 65

The answer options don't have this included.

Let the number be n

At least 65 means the number is equal to 65 or greater than 65.Hence here we use greater than equal to sign.

Inequality:-

[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]

Two negative integers have a sum of -18 and a
product of 80. What are the integers?
Separate the answers with a coma.

Answers

Answer:

-10, -8

Step-by-step explanation:

a + b = -18

a * b = 80

Solve:

from the first eq.

a = 18 - b

replacing this value in the secon eq.

(18-b)*b = 80

18*b + b*-b = 80

-b² + 18b = 80

-b² + 18b - 80 = 0

b = {-18±√((18)² - (4*-1*-80))] /(2*-1)

b = {-18±√(324.320)} / -2

b = {-18±√4} / -2

b = {-18±2} / -2

b₁ = {-18-2} / -2 = -20/-2 = 10

b₂ = {-18+2} / -2 = -16/-2 = 8

The two number must be negatives, so the numbers are:

-10 and -8

Check:

-10 + (-8) = -10 - 8 = -18

-10*-8 = 80

explain how to plot the point (-5.5, 3) and identify which quadrant it is in

Answers

Answer:

well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2

Triangle DCB is congruent to triangle IGH what is an less than H

Answers

Answer:

no cuh

Step-by-step explanation:

A company is shipping toys
to stores in boxes. Each
box will hold 16 toys.
How many boxes will be
needed to ship 2,944 toys?

Answers

2944 / 16 = 184boxes

Answer:

184 boxes

Step-by-step explanation:

Hope it helps:)

Help help help math math

Answers

Answer:

V = 4000 ft³

Step-by-step explanation:

if diameter is 20 then radius is half that, or 10

use formula:

V = 4/3(3)(10)³

V = 4(10)³

V = 4(1000)

V = 4000 ft³

What is the value of x in this equation? Enter your answer in the box.
(2.4 x 10^3) x (3 x 10^x) = 7.2 x 10^9

Answers

Answer:

6

Step-by-step explanation:

(2.4×10³)×(3×10^x)=7.2×10^9

(3x10^x)=(7.2×10^9)/(2.4×10^3)

3×10^x=3×10^6

10^x=10^6

*when bases are same ,powers are equated*

thus x=6

You have to multiply 7 by 19. Which equation uses the Distributive Property to take this problem apan
A. 7(10 + 9) = 70 + 16
CB B. 7(10 + 9) = 70 + 9
c. 7(10 + 9) = 70 +63
D. 7(10 + 9) = 17 +63

Answers

C) 7(10 + 9) = 70 + 63
Hope this helps!

2x+y=−1.5
y=3.5x+15.

Answers

Answer:

x=-3, y=4.5

Step-by-step explanation:

Identify the constant of proportionality from the graph.


Please help I’ll give brainlist just please help and please no links or spamming just please hurry and give me the answer thank you!!!

Answers

Answer:

y=3x

Step-by-step explanation:

you have to  figure out what mutiply  by your x give you y

2/1

3/6

when you divide  you get 2


HELP PLEASE
I NEED TO CHECK OFF THE TWO FUNCTIONS USED TO CREATE THE GRAPH BELOW

Answers

linear and trigonometric

Simply using quadratic formula! Brainliest will be awarded if correct

Answers

Answer:

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Step-by-step explanation:

5y + 12 = [tex]\frac{-8}{y}[/tex]

y*(5y+12)=-8

5[tex]y^{2}[/tex] + 12y = -8

5[tex]y^{2}[/tex] + 12y + 8 = 0

Δ(Delta) = [tex]b^{2}[/tex] - 4ac

= [tex]12^{2}[/tex] - 4*5*8

= -16

Δ<0

therefore we have complex number

y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Rachel finished 3/4of the race in 6 hours. How long was the entire race?

Answers

Answer:

it will take a total of 8 hours to finish the race

Step-by-step explanation:

6h÷3/4=8

Leon has to drive 36 miles to work. If he can average a speed of 48 miles per hour, about how long does it take him to get to work each day? (Hint: Use the formula d = rt.)

1. a quarter of an hour
2. three-fourths of an hour
3. half an hour
4. more than an hour

Answers

Answer:

i think the answer is 45 mins sorry if im wrong

1/3 + 1/2 + 4/5 jdnjfnawbfaibgfiabfwhbruwbrfywhfywg8eyfhwa8uofhawufhaw

Answers

Answer: 49/30 or, 1 19/30

make r the formula t=r/r-3

Answers

Answer:

R = 3t/t₋1

Step-by-step explanation: I'm not sure if its correct.

Hey help pls pls pls pls pls

Answers

Answer:

coefficient of xwrite the equation in slope-intercept form35

Step-by-step explanation:

The value -105 is the coefficient of x.

The slope is most easily read from the equation when it is in slope-intercept form. In that form, the slope is the coefficient of x. You could say Kim forgot to write the equation in slope-intercept form.

When the equation is written in that form, it becomes ...

  165 -105x +3y = 0

  165 -105x = -3y . . . . subtract 3y

  -55 +35x = y . . . . . . divide by -3

  y = 35x -55 . . . . . . in slope-intercept form

The correct slope is 35.

(9x-3)+(5x+5)+2(7x-15)=168 what is the value for x

Answers

Answer:

x = 3

Step-by-step explanation:

(9x - 3) + (5x + 5) + 2(7x - 15) = 168=> 9x - 3 + 5x + 5 + 14x - 30 = 168=> 9x + 5x + 14x - 28 = 168=> 28x = 168 + 28=> 28x = 196=> x = 3

Conclusion:

Therefore:

x = 3

Hoped this helped.

[tex]GeniusUser[/tex]

Andrea runs a fruit store. She started Sunday with 20 cherries in stock. During
the day, she sold 17 cherries and got a shipment of fresh cherries. The
shipment contained 4 times as many cherries as she started the day with.
How many cherries does Andrea have in stock at the end of the day?

Answers

Answer:

Andrea has 83 cherries in stock at the end of the day.

Step-by-step explanation:

starts with 20 cherries

sold 17 cherries

3 cherries remain

get 4 times as many she starts with 20×4= 80

80 + the 3 that remained

i cant decide if its b or d please help for brainlist !!!!!!!!!!!!!

Answers

[tex]y = 81( \frac{1}{3} ) {}^{x} \\ [/tex]

This is right answer because option d only shows that y are multiples in sequence but this answer shows the correct sequence

A is correct! Our base number is 9 since it's at x = 0. The number gets smaller as x increases, so it will be 1/3 instead of 3.

Hope this helps :)

1
View NON-CALC.
Sam plays a game with a fair dice.
if he rolls a 1 or 2 he rolls again
if he rolls a 3 he wins
If he rolls a 4,5 or 6 he loses.
When he has to roll again,
if he rolls a factor of 6 he wins
If he rolls a number which is not a factor of 6 he loses,
a) Complete the tree diagram,
First roll
Second roll
Not a factor of 6
1 or 2
Factor of 6
DI
3
4,5 or 6
b) Is Sam more likely to win or lose?
You must calculate the probability he wins.

Answers

Answer:

The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.

For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.

For p=5/36, that's

(536)25+636=2511⋅36,

and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is

836+236(2511+1610+99)=244495=12−7990≈12−0.007.

Step-by-step explanation:

Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:

p(4)=336+2736p(4),so thatp(4)=13.

Repeat this reasoning for the other outcomes and then compute the total probability of winning as:

ptot=836+336p(4)+436p(5)+…

Use the equation 4.9x-1.9=27.5
What two properties of equality do you need to use to solve the equation?

Answers

The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.

The circle passes through the point (-1.5, 2.5). What is its radius?
Choose 1 answer
2.5
V1.5
1.5
/2.5

Answers

It’s 2.5 because this is easy I answered it in my head think about it …

helppppppppppppppppppppppppppp

Answers

Answer:

-1/2

Step-by-step explanation:

It is negative because of the direction the line.

It is one half because it rises one and runs two.

I hope this helps!

Answer:

The slope is -1/2

The slope intercept is 2

The form is y = 2 - 1/2x

One angle, Angle A = 80° find the other angle, Angle B
Hint: They are formed on a line.​

Answers

If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.

Here,

Angle A = 80°

Angle B = x°

So,

Angle A + Angle B = 180°

80° + x° = 180°

x° = 180° - 80°

x° = 100°

=》 Angle B = 100°

_____

Hope it helps ⚜

PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS

Answers

Answer:

I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.

CAN SOMEBODY PLEASE HELP ME

Answers

Answer:

x and y are both equal to 57.5°

Step-by-step explanation:

180° - 65° = 115°

115 ÷ 2 = 57.5

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