Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.

Triangle ABC is a scaled copy of triangle DEF with what scale factor?

Answers

Answer 1

Answer: scale factor = 1.5

Step-by-step explanation:

[tex]\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}[/tex]

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

[tex]\text{For similar triangles, Corresponding sides are proportional.}[/tex]

AB is corresponds DE (longest side of both triangles)

So, [tex]\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5[/tex]

Hence, the scale factor = 1.5.


Related Questions

4х – 8y = 2
6x - 12y = 3

Answers

Answer:

1. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

2. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

Hope this helps!

simplify 8/9 over 20. 8/9/20 ​

Answers

2 over 45

Step-by-step explanation:

i divide 8over9 by 20

whats 18+18+= equal to

Answers

Answer:

36

Step-by-step explanation:

Answer:

the correct answer is 36

The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you to make the cake?

Answers

Answer:

17/12

Step-by-step explanation:

find a common denominator for each number so 8/12 and 9/12

3[25-2(9+3)]=?. Pleaseeeeeeee

Answers

Sorry for the hand writing

Solve the following system.
y + 4z = -14
x + 3z = -8
2x-3y=8
Please actually help and don’t just answer with “idk” for points

Answers

Answer:

[tex]y=-2,\:\\x=1,\:\\z=-3[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y+4z=-14\\ x+3z=-8\\ 2x-3y=8\end{bmatrix}\\\\Isolate\:y\:for\:y+4z =-14\: : \:y=-14-4z\\\\\mathrm{Subsititute\:}y=-14-4z\\\\\begin{bmatrix}x+3z=-8\\ 2x-3\left(-14-4z\right)=8\end{bmatrix}\\\\Isolate\:x\:for\:x+3z =-8\: :\:x =-8-3z\\\mathrm{Subsititute\:}x=-8-3z\\\\\begin{bmatrix}2\left(-8-3z\right)-3\left(-14-4z\right)=8\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}6z+26=8\end{bmatrix}\\\\Isolate\:z\:for 6z+26=8 \: ;\:z =-3\\\\\mathrm{For\:}x=-8-3z\\\\[/tex]

[tex]\mathrm{Subsititute\:}z=-3\\\\x=-8-3\left(-3\right)\\\\-8-3\left(-3\right)=1\\\\x=1\\\\\mathrm{For\:}y=-14-4z\\\\\mathrm{Subsititute\:}x=1,\:z=-3\\\\y=-14-4\left(-3\right)\\\\-14-4\left(-3\right)=-2\\\\y=-2\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\y=-2,\:x=1,\:z=-3[/tex]

preform the indicated operation 2 3/8 × 5 3/4​

Answers

The answer will come out as 13.65625

Answer:

It is 13 21/32 hope this helps

On Monday Jim had -$20 in his bank account. On Tuesday Jim had -$60 in his bank account. What was the change in Jim's account?

Answers

80 if im not mistaking bc 60 +20 is 80

Answer:40

Step-by-step explanation:

2ax - 15 = 3(x + 5) + 5(x - 1) In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
NEED EXPLANATION!​

Answers

Answer:

Step-by-step explanation:

Hello,

let s regroup the terms

2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***

<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***

<=> 2ax = 8x + 25 *** simplify ***

<=> (2a-8)x = 25 *** subtract 8x from both sides ***

<=> (a-4)x=25/2 *** divide by 2 both sides ***

There is no solution is a-4 = 0 ,

because it would mean 0 = 25/2 and this is not possible

So it gives a = 4

Thanks

In the case when no value of x satisfies the equation so there the value of a should be 4.

Calculation of the value of a:

Since

the equation is  

2ax - 15 = 3(x + 5) + 5(x - 1)

2ax = 15 + 3x + 15 + 5x - 5

2ax = 8x + 25

(2a-8)x = 25

So a = 4

hence, In the case when no value of x satisfies the equation so there the value of a should be 4.

Learn more about an equation here https://brainly.com/question/22358515

-4x+-3=-2x+-2
what is X?

Answers

x= -1/2 !!!!!!!!!!!!!!!!!
X=-1/3!!!!!!!!!
!!!!!

A whale is 215 feet below sea level and descends 23 feet then ascends 119 feet. What is the location of the whale?

Answers

Answer:

354 feet below sea level

Step-by-step explanation:

Subtract 23 from  215, then add 119

Which statement best describes the relationship between the two figures?

Answers

Answer:

it is C

Step-by-step explanation:

it is reflected so the angles and the sides stay the same.

The statement best describes the relationship between the two figures is: figure JKL is similar to figure J'K'L'.

What are Similar Triangles?

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

As per the given figure,

In triangles ΔJKLand ΔJ'K'L',

side JK = side J'K'

side KL= side K'L'

side JL = side J'L'

According to Side-Side-Side criterion, two triangles are similar if three sides of a triangle are equal to the corresponding sides of the other triangle.

Thus, ΔJKLand ΔJ'K'L' are similar triangles due to equal pairs of corresponding sides.

Learn more about similar triangles here:

brainly.com/question/25882965

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HELP BTAINLIEST!!!

IS 12x=15 and 4x=5 EQUIVALENT Y OR N

Answers

Answer:

Yes

Step-by-step explanation:

Answer: Yes it is equivalent

Step-by-step explanation:

If you crossed out the 12 and put it under 15, it would be 15/12=1.25.

Same for the second one cross out the 4 and put it under the 5 and it would be 5/4 is 1.25.

what is 1,935,825 in scientific notation ?

Answers

answer:1.935825×10 to the sixth power

step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.

Plz help I don’t get what this is

Answers

Answer:

A) 98.94 sq. meters

B) 42 sq. meters

Step-by-step explanation:

A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94

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

B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.  

8x + 21 ≤ 56
i need help on this

Answers

x is less than or equal to 35/8

Answer:

YOU NEED TO DOWNLOAD CYMATH RIGHT NOW

Step-by-step explanation:

I got this answer one time and that is a great app seriously it WILL save your life

Dave uses the function P(d)=20d-20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in dollars, and d the number of dogs he walks.

Interpret the meaning of the equation below using the context of the problem.
P(3)=40
Dave's profit is ____ when he walks _____dogs.

Answers

Dave profit is 40 when he walks 3 dogs

If a cube has a side length of 5 inches, what would be the volume of that
cube?
2 points
*

Answers

Answer:

125 inches^3

Step-by-step explanation:

To solve for cubes it is L^3 or Length Cubed. Whcih is simply L×L×L where L is Length.

125 inches^3 is the volume

The height of the house is 28feet what is the height x of each story

Answers

what’s the length, u need more explanation

10. The ratio of red marbles to purple marbles is 3:8. If there are 44
marbles, how many purple marbles are there? *

Answers

Answer:

32 purple marbles.

Step-by-step explanation:

Turn 3:8 into 3x+8x.

Equation:

3x+8x=44

x=4

Now, refer back to 3x:8x. We know that x=4, so 4*8=32.

32 purple marbles.

Answer:

There are 32 purple marbles and 12 red marbles

Step-by-step explanation:

The ratio is 3:8 and the total is 44. For 3 red marbles, they have 8 purple marbles but we don't know how many each marble we need if the total sum is 44. So we do...

3x+8x=44

11x=44

x=4

We need to know the number of purple marbles so we do,

8*4=32

Devon has 4 1/2bags of soil to put in his flower beds. Each bag of soil will cover 115.4 ft2. How many square feet will Devon be able to cover if he uses all these bags of soil?

Answers

Devon will cover 519.3 ft^2 with 4 1/2 bags of soil

-6x+15=33 what is the first best step in solving for x?

Answers

Do 33-15 then divide by -6 and you should get your answer

Answer:

x= -3

Step-by-step explanation:

1) subtract 15 on both sides

should look like: -6x=18

2) divide the -6 on both sides

3) 18 divided by -6 is -3

a ferris wheel can accommodate 40 people in 25 minutes, how many people can people ride the ferris wheel in 5 hours? What's the rate per hour?

Answers

480 people. Because 60x5=300 and 300 divided by 25=12. Lastly, 12x40=480!!

Answer:

480 in 5hrs

Rate is 96 per hour

Step-by-step explanation:

In 5 hours there are 300 minutes (5x60) and 300min/25min = 12. So 25 mins pass 12 times in 5 hours. Since each 25 mins its 40 ppl then 12x40 = 480.

480 in 5 hours so 480/5= 96 per hour

find the product and enter your answer in the space provided 316 x 10

Answers

Answer:

The answer to this is: 3160 and can i have brainliest?? please

Step-by-step explanation:

Identify the domain of the relation (-5, 10), (-2, 11), (1, 4), (5, 10) *

Answers

Answer:

-5,-2,1,and 5

Step-by-step explanation:

What steps would you do to solve 3x-52 -12?
1. Add-12, then divide by 3
2. Divide by 3, then add 5
3. Multiply by 3, then subtract 5
4. Add 5, then divide by 3

Answers

Answer:

But you just gave us the steps-

Answer:

Step-by-step explanation:

Well for this you wouldn't necessarily solve you you simplify, to simplify you would do 56- 12 which would get you 3x - 44.

Among the 7th graders in a middle school, three quarters of them play at least one sport. Among the 7th graders who play sports, half of them play more than one sport. Among the 7th graders who play more than one sport, one third of them play more than two sports. Among the 7th graders who play more than two sports, one quarter of them play more than three sports. Sixteen 7th graders play more than three sports at the school. How many 7th graders are in the school

Answers

Answer:

512

Step-by-step explanation:

Let the number of 7th graders in the school is x.

As three-quarters of them play at least one sport, so, the number of 7th graders who play sport = [tex]\frac 3 4 x[/tex].

Among the 7th graders who play sports, half of them play more than one sport. So, the number of 7th graders who play more than one sport [tex]= \frac 1 2\times \frac 3 4 x=\frac 3 8 x[/tex].

Among the 7th graders who play more than one sport, one-third of them play more than two sports. So, the number of 7th graders who play more than two sport [tex]= \frac 1 3\times \frac 3 8 x=\frac 1 8 x[/tex].

Among the 7th graders who play more than two sports, one-quarter of them play more than three sports.

So, the number of 7th graders who play more than three sport [tex]= \frac 1 4\times \frac 1 8 x=\frac{1}{32} x[/tex].

7th graders play more than three sports at the school= 16

[tex]\Rightarrow \frac{1}{32} x=16[/tex]

[tex]\Rightarrow x =16 \times 32[/tex]

[tex]\Rightarrow x = 512[/tex]

Hence, the total numbers of 7th graders in the school are 512.

7.3 times 10^22 what does it equal?

Answers

What does ^ mean on top

The correct answer is 7.3e +22

The difference of six times a number and seven results in 35.

Identify the steps necessary to solve the equation.

Answers

Answer:

Let the number be x

According to the question,

6x -7 = 35

=> 6x = 35 + 7

=> x = 42/6

=> x = 7

The solution to the equation is x = 7.

We have,

Let's assume the unknown number is represented by the variable 'x'.

- Translate the given information into an equation:

6x - 7 = 35.

- To isolate the variable 'x', start by adding 7 to both sides of the equation:

6x - 7 + 7 = 35 + 7.

- Simplify:

6x = 42.

- Next, divide both sides of the equation by 6 to solve for 'x':

(6x)/6 = 42/6.

x = 7

Therefore,

The solution to the equation is x = 7.

Learn more about solutions of equations here:

https://brainly.com/question/545403

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Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the globe along the equator to be 24 inches. What is the volume of the globe? Round your answer to the nearest whole number.

Answers

Answer:

231in^3

Step-by-step explanation:

We know that the volume of a sphere/globe is given as

V=4 /3πr^3

but the circumference is expressed as

C=2πr

solving for r given  that C=24

24=2*3.142r

24=6.284r

r=24/6.284

r=3.8in

put r=3.6 in the expression for volume we have

V=4 /3π(3.8)^3

V=4 /3π(55

V=(220.59*3.142)/3

V=693.12/3

V=231in^3

The volume of the globe is 231in^3

The volume of the globe is 233  cubic inches.

Important information:

Circumference of the globe along the equator to be 24 inches.

We need to find the volume of the globe.

Volume of sphere:

Let [tex]r[/tex] be the radius of the globe.

Circumference of the globe along the equator is:

[tex]C=2\pi r[/tex]

[tex]24=2\pi r[/tex]

[tex]\dfrac{24}{2\pi }=r[/tex]

[tex]\dfrac{12}{\pi}=r[/tex]

Volume of the globe is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

[tex]V=\dfrac{4}{3}\pi \left(\dfrac{12}{\pi}\right)^3[/tex]

[tex]V=\dfrac{4}{3}\pi \left(\dfrac{1728}{\pi^3}\right)[/tex]

[tex]V=233.444...[/tex]

[tex]V\approx 233[/tex]

Therefore, the volume of the globe is 233  cubic inches.

Find out more about 'Volume of sphere' here:

https://brainly.com/question/381274

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