The perimeter of an equilateral triangle is 12 inches. After a dilation, the
perimeter of the image is 42 inches. What is the scale factor of the dilation?

Answers

Answer 1

Based on the change in the perimeter, the scale factor of the dilation is 3.5.

The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.

This dilation can be found as:

= Increased perimeter / Original perimeter

Solving for it would give:

= 42 / 12

= 3.5

In conclusion, the scale factor of the dilation is 3.5.

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Related Questions

What is the equation of the line shown in this graph

Answers

Answer:

y=1

Step-by-step explanation:

The line is hoizonatal so the slope would be undefined and the y intercept would be 1

PLEASE HELP ME I NEED TO ANSWER THIS

Answers

Answer:

the correct answer is 37°

Step-by-step explanation:

just simple geometry haha

Answer:

37

Step-by-step explanation:

( x + 71 ) and 108 are vertically opposite angles.

Vertically opposite angles are equal.

x + 71 = 108

x = 108 - 71

x = 37

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)

Answers

9514 1404 393

Answer:

0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

Part A:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

Part B:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

Part C:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

Find the distance between P(2, 5 ) and Q( 7 , 3)

Answers

Answer:

PQ = √(7-2)²+(3-5)²

= √ 5²+(-2)²

= √ 25+4

=√29 units

Hope it helps !

Don't forget to mark me as brainliests.

What is the answer for -6 + x/4 = -5?

Answers

Answer:

4

Step-by-step explanation:

-6 + x/4 = -5 --> add 6 to both sides

x/4 = 1 --> times 4 on each side

x = 4

Your answer would be: x = 4

Use the graph below to find the x- and y - intercepts .

x-intercept : - 6; y - in ; intercept : 9

x-intercept: 1.5 ; y-intercept: 9

x-intercept : 9; y-intercept : - 6

x-intercept: -6; y-intercept: 3

Answers

x-intercept is -6 and the y-intercept is 9

In the triangle below, suppose that mZL=(x+3)°, mZ M=(5x-7)°, and m N= (2x).
Find the degree measure of each angle in the triangle.
N
(2x)
mL =
日。
х
M
(5x - 7).
m M =


mZN =
(x + 3)°

Answers

Answer:

Given

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]

[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]

To find:

The degree measure of each angle in the triangle.

Solution:

According to the given information,

[tex]m\angleA=90^\circm∠A=90[/tex]

[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]

[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]

Now,

[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]

(Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘

[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]

9x+126=1809x+126=180

9x=180-1269x=180−126

9x=549x=54

Divide both sides by 9.

[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]

x=6x=6

Now,

[tex]m\angle A=90^\circm∠A=90

∘[/tex]

[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]

[tex]m\angle B=37^\circm∠B=37[/tex]

[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]

[tex]m\angle C=53^\circum \: ∠C=53[/tex]

Therefore,

The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

26°, 108°, 46°

Step-by-step explanation:

Assumed the given is:

ΔLMN with angle measures of (x + 3), (5x - 7) and 2x.

We need to find the angle measures in degrees.

We know the sum of interior angles is 180:

x + 3 + 5x - 7 + 2x = 1808x - 4 = 1808x = 184x = 184/8x = 23

Find the angle measures:

m∠L = x + 3 = 23 + 3 = 26m∠M = 5x - 7 = 5*23 - 7 = 108m∠N = 2x = 2*23 = 46

234563456768521213457342/1234567213465768676543

Answers

i’m not sure if i understand…

what is 2x(7+66) i need help

Answers

7+66 is 73,so that means 73 x 2

73 x 2 is 146.

So it is 146

Hope you have a great day.

Good luck

Answer:

146x

Step-by-step explanation:

hope it helps

mark me brainliest

i work on this on last friday

Which of the following represents a function?

Answers

Answer:

B) Graph of an Absolute Value Function

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.    

The given table in Option A) is not a function because there are two corresponding y-values for x = 3.

Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.

Option D is also not a function because the input value of 3 has two output values: -5 and 0.

Option B represents a function because each input value has exactly one corresponding output value.  A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point.  This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.

Answer:

The graph

Step-by-step explanation:

I got it right on plato

May I please receive help?

Answers

Answer:

m<1=47 and m<2=29

Step-by-step explanation:

f(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x.

Answers

f(x) - g(x)

2.5e - 0.04x - 1.2 + 0.2

0.16x + 5.59570457

Carly withdraws $18 from her bank account. Which number line represents this amount?
-20 -15 -10 -5 0 5 10 15 20,
10 15 20 -20 -15 -10 -5 0 5
10 15 20 -20 -15 -10 -5 0 5,
-20 -15 -10 -5 05 10 15 20.​

Answers

20 15 10 5 0 5 10 15 20
I already withdraw it and saw the answer

Someone plz help me :(

Answers

Answer:

c

Step-by-step explanation:

you want to take your total amount of points and divide it by the number of games

Help stuck on question number 9

Answers

Answer:

y=4x-4

Step-by-step explanation:

You know that a line perpendicular to the equation (y= -1/4x-14) would have an opposite reciprocal slope.

The slope from the given equation is -1/4x. Take the opposite reciprocal and you get 4/1x or 4x as your slope.

Now use the point-slope formula to find your b value.

(y-y1)=m(x-x1)

m= 4

Plug in (3,8) for x and y, and solve.

(y-8)= 4(x-3)

y-8= 4x -12

y=4x-4

SOMEONE HELP ITS DUE TONIGHT

Answers

Answer:

n=27 degrees

m=36 degrees

Step-by-step explanation:

So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.

so it is: 180-126/2 which gives you 27 degrees.

this means the n value is 27.

to find m, you have to take away 90 degrees and the n value from 180.

so it is: 180-90-27 which gives you 63 degrees.

now you must take the smaller angle from 63 degrees to find m.

so it is: 63-27 which gives you 36

therefore...

n=27 degrees

m=36 degrees

Please help me! It’s for geometry

Answers

The answer to this is 2 67.5

what is the answer to this

Answers

Answer:

x = 144

Step-by-step explanation:

x/2= 84-12 = 72

x = 72 x 2 = 144

pls mark as brainliest

explain how you got the answer because I somehow got x > -5 as my answer, please and thanks.

Answers

Answer: x>-5

Step-by-step explanation:

-5(x+7)<-10

Distribute the -5.

-5x-35<-10

Add 35 to both sides.

-5x<25

Divide both sides by -5.

x>-5

Answer:

x > - 5

Step-by-step explanation:

-5(x+7)< -10

-5x - 35 < - 10

- 5x < - 10 + 35

x > 25/-5

10 pls pls pls help meeee!

Answers

Answer:

SAS

I THINK CORRECT ME IF IM WRONG

WHAT ARE CONGRUENCE LINES

Answers

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.

Please help :(((((((((

Answers

Answer:

Yes it is a linear function

Step-by-step explanation:

Chau rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 97 cents for each mile driven. Chau had to pay $306.13 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Chau drove 13.96 miles while he was using the truck

Step-by-step explanation:

Answer:

294 miles!!!!!!

Step-by-step explanation:

82 x3 +4 +8 +5 +3
I KNOW THE ANSWER JUST SOME POINTS FOR FREE

Answers

Answer:

266

Step-by-step explanation:

Answer:

it's 266! have a great day :)

HELP PLEASE
Write each number as a logarthm with base 3.
0
1
-2
4

Answers

Answer:

See below

Step-by-step explanation:

Let the number is x in each case.

Use the property below:

logₐc = b ⇒ aᵇ = c or vice versa

We have:

[tex]log_3x = 0 -->x = 3^0=1 -->log_31=0[/tex][tex]log_3x = 1 -->x = 3^1=3 -->log_33=1[/tex][tex]log_3x = -2 -->x = 3^{-2}=1/9 -->log_3(1/9)=-2[/tex][tex]log_3x = 4 -->x = 3^4=81 -->log_381=4[/tex]

Answer:

[tex]\log_31=0[/tex]

[tex]\log_33=1[/tex]

[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]

[tex]\log_{3}81=4[/tex]

Step-by-step explanation:

[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]

Therefore:

[tex]\log_3x=0 \implies x=3^0=1[/tex]

[tex]\log_3x=1 \implies x=3^1=3[/tex]

[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]

[tex]\log_3x=4 \implies x=3^4=81[/tex]

Additionally, the logarithm of 1 with any base is always zero:

[tex]\log_a1=0[/tex]

The logarithm of the same number as the base is always 1:

[tex]\log_aa=1[/tex]

The magnitude of an earthquake measured on the Richter scale is given by:
R(L) = log (l/l0), where l = amplitude.
Find the Richter scale rating of an earthquake with amplitude 1. 80 X 10 l0.
HELP ME PLEASEEEEEEEEEEE

Answers

Answer:

1.26

Step-by-step explanation:

R(L)=log((1.8 ×10)=log(18)=1.26

7 times a number plus 3 is 38. find the number​

Answers

Answer:

5

Step-by-step explanation:

7 x 5 =  35

35 + 3 = 38

pls answer quick!!! i'll give brainliest if right!

Answers

Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a black sock as a fraction in simplest form?

Answers

Answer:

3/13

Step-by-step explanation:

three socks out of the 13 are black. therefore you have a 3/13 chance of picking black.

HELP ASAP PLEASE I BEG TOU

Answers

Answer:

(0,-2)

(2,-1)

(4,0)

Step-by-step explanation:

The points are the above ones.

x intercept: (4, 0)

y intercept: (0, -2)

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