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

20 comics for $5.00 seth buys 30 for $7.50 what is the sale price per comic

Answers

Given parameters:

 20 comics costs $5

  30 comics costs $7.50

Unknown:

Sale price per comic =   ?

Solution

The sale price per comic is ;

       = [tex]\frac{cost}{number of comics }[/tex]

       = [tex]\frac{5}{20}[/tex]  

       = $0.25 per comic

The cost per comic is $0.25 per comic

Answer:

0.25

Step-by-step explanation:

To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?

A) Because this is a convenience sample, it is likely that the sample results will be unbiased.
B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D) Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

Answers

Answer:

WARNING! C IS INCORRECT 2021.

MOST LIKELY (B): Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

ED2021

Ayuda con esto tengo muchos deberes y nececito terminarlos ahora, por favor ayuda :( .María y Nancy son vecinas, y todas estas semanas han realizado compras en el mercado. La semana pasada María gastó 25,75 dólares, exactamente 3 veces más de lo que gastó Nancy, que tenía poco que comprar. ¿Cuánto dinero se gastó Nancy?

Answers

Answer:

Nancy gastó 8,58 dólares.

Step-by-step explanation:

Para calcular cuánto dinero gastó Nancy, debemos hallar la relación entre Nancy y María, tal como sigue:

[tex] M = 3N [/tex]    (1)

En donde M es por María y N por Nancy

En la relación de la equación (1) tenemos que el dinero que gastó María es 3 veces lo que gastó Nancy, tal como dice el enunciado.

Entonces, podemos hallar ahora cuánto gastó Nancy:

[tex] N = \frac{M}{3} = \frac{25,75}{3} = 8,58 [/tex]

Por lo tanto, Nancy gastó 8,58 dólares.  

Espero que te sea de utilidad!

the price for rosemary is 49 cents for 6 ounces. what is the price in dollars per pound?

Answers

16 ounces= 1 pound
16x.49= $7.84

Which definitions describe context? Check all that apply.

words that can give me clues to the meaning of an unknown word
words or ideas inside an unknown word
words or ideas around an unknown word
words that I do not know
words or ideas that are easy to understand

Answers

Answer: Words that can give you clues to the meaning of an unknown word

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

I just answered that question and i got it right. Have a great day :)

Deductive reasoning uses all of the following except...
A. Laws
B. Patterns
C. Facts
D. Rules

Answers

B patterns is not applied

Who is the coach for - (-5x + 9)

Answers

Answer:

[tex]=5x-9[/tex]

Step-by-step explanation:

[tex]-\left(-5x+9\right)[/tex]

[tex]Distribute\: parentheses[/tex]

[tex]=-\left(-5x\right)-\left(9\right)[/tex]

[tex]Apply\:minus-plus\:rules[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=5x-9[/tex]

does anyone know? take ur time and its ok if u dont

Answers

Answer:

Your answer is: A) x 5/6

Step-by-step explanation:

Hope this helped : )

Answer:

its the first one

Step-by-step explanation:

Write a two-column proof to verify each conjecture: If -1/3n = 12, then n = -36. This is for geometry btw. Any help would be much appreciated, thanks.

Answers

Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

What is the equation of the line that passes through the point (-8, 3) and has a
slope of -1/4

Answers

Answer:

-1/4x + 1 ( If this is wrong then ignore this)

Step-by-step explanation:

The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)

Equation:

y - 3 = -1/4(x + 8)

y - 3= -1/4x - 2

y = -1/4x + 1

Therefore the equation for the line is y = -1/4x + 1

Given parameters:

 Slope of the line  = [tex]-\frac{1}{4}[/tex]

 Coordinates of the points = (-8, 3)

Unknown:

Equation of the line = ?

Solution:

To find the equation of the line, we must note that any straight line can be represented by the equation;

        y  = mx + c

 where x and y are the coordinates

             m is the slope

              c is the y-intercept of the line

Input the parameters and solve for c;

     x = -8 and y  = 3;

         3  = [tex]-\frac{1}{4}[/tex] x (-8) + c

         3 = 2 + c

        c  = 1;

  So the equation of the line is ;

     y  = [tex]-\frac{1}{4}[/tex]x + 1

     multiply through by 4;

   4y = -x + 4

The equation of the line is 4y = -x + 4

HELP ASAP PLZZZZZ Which property is used in the first step to solve this equation?

4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction

Answers

Answer:

Distributive Property

Step-by-step explanation:

4(x-6)=5.4x-24

4x-24=5.4x-24

If the area of a rectangle is 100, then the length is 25 and the width is 4

Answers

Answer:

Yes.

Step-by-step explanation:

since area is length x the width, so in this case it would be 25 x 4 = 100

Um I kinda need help on this and how to do it​

Answers

Answer:

m = 1

Step-by-step explanation:

Slope is defined by the change in y over the change in x, [tex]\frac{\Delta y}{\Delta x}[/tex]. A trick here is to find where 2 points where the slope intersects a corner of the square grids. For example, here, it can be (0,1) and (1,0). Then, you count how many squares you needed to go up or down by and divide by the number of square you needed to move right or left by. If you move up or right, the value will be positive and vice versa for down and left. Which direction you go will depend on which point you start on. Here, we can see between (0,1) and (1,0), we need to move up 1 and right 1. Meaning 1/1 is the slope or m = 1. If this doesn't make sense, just ignore it but it may come in handy when you move to more complex problems where the slope is a fraction or something.

Answer:

b= -1

m=1

Step-by-step explanation:

the equation for a linear graph is y=mx+b

your y intercept would be -1 because thats where the line crosses on the y axis. The slope which would be 1 is because when you are on the point (0,-1) you go up one and one to the right and get (1,0)

therefore the equation would be

y=1x-1 or y=x-1

I NEED HELP WITH THIS QUESTION!!

Answers

Answer:

- 1

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

Given y = 4x - 5 with slope 4

y = - [tex]\frac{1}{4}[/tex] x - 5 with slope - [tex]\frac{1}{4}[/tex] then

4 × - [tex]\frac{1}{4}[/tex] = - 1 proving the lines are perpendicular

The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.

Answers

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given [tex]S_{7}[/tex] = 84 , then

[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

Please help!!! will give brainliest

Answers

Answer:

Angle D

Step-by-step explanation:

If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.

Rohini spends 88℅ of her monthly income. If she saves rs 3420 per month,what is her monthly income ?​

Answers

Answer:

rs 28500

Step-by-step explanation:

If she saves rs3420 and spends 88% we need to convert 88% to a decimal first.

88% = 88/100 = .88

Let m equal her monthly income.

m - .88m = 3420

.12m = 3420

.12m/.12  = 3420/.12

m =  3420/.12

m = 28500

He monthly income is rs28500.

Does 4.5, 6, and 7.5 make a right triangle?

Answers

Answer:

yes.

Step-by-step explanation:

A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, must they take the elevator to get to Parking A? Express your answer in one or more complete sentences.

Answers

Answer:

they must go 12 floors downwards because parking A has to be on the last floor

Answer:

they other person is somewhat correct

Step-by-step explanation:

Evaluate the expressions for the given value and match them with the simplified answer.

5-x/3 for x = -3
-2 + 2x/3 for x = 6
-3 + x/2 for x = 6
2-3x/4 for x = 4

-1
0
2
6​

Answers

Answer:

1st = 6

2nd = 0

3rd = -1

4th = 2

Step-by-step explanation:

Got it right on EDGE

Hope this Helps!

Have a great day!

pls thank and rate!

Thank u and God bless!

:)

The solutions of the expression for the different values of x will be,

5-x/3 = 6

-2 + 2x/3 = -1

-3 + x/2  = 0

2-3x/4 = 2

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are:-

5-x/3 for x = -3

5 - (-3 / 3 ) = 6

-2 + 2x/3 for x = 6

-2 + (2 x 6 )/3 = 2

-3 + x/2 for x = 6

-3 + (6 / 2 ) = 0

2-3x/4 for x = 4

2 - ( 3 x 4 ) /4 = -1

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

What is the probability that a randomly chosen exam score is above 300?

Answers

Answer:

I DONT KNOW SORRY DO YOU HAVE ANY OTHER QUESTIONS ON ANYTHING ELSE?

Step-by-step explanation:

Anything that’s higher than 300 because you said above which is positive.

Is x = 1 a solution of the equation 2 – 8x = –6?

Answers

Let's verify by substituting 1 to x.

2 - 8x = -6

2 - 8(1) = -6

2 - 8 = -6

-6 = -6

It is equal, therefore x = 1 is the solution.

Answer:

yes

Step-by-step explanation:

Substitute x = 1 into the left side of the equation and if equal to the right side then it is a solution.

2 - 8(1) = 2 - 8 = - 6 = right side

Thus x = 1 is a solution of the equation

What is 0.362 rounded to the nearest tenth?

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4

Martin painted 255 square feet of his kitchen wall with 23 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft2

Answers

Complete Question

Martin painted 255 square feet of his kitchen wall with 2/3 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft

Answer:

765 square ft

Step-by-step explanation:

2/3 gallon of paint = 255 square feet

2 gallons of paint =

Cross Multiply

2 × 255 square feet/2/3 gallon of paint

= 510 ÷ 2/3

= 510 × 3/2

= 765 square feet

is 3.14 a terminating decimal ?​

Answers

Answer:

Yes, it is a terminating decimal.

Step-by-step explanation:

3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.

I need Help PLS




again

Answers

Answer:

B

Step-by-step explanation:

It is saying the same thing as 18-7 just in the parenthesis (-7).

Answer:

B. 18+(-7)

Hope this helps!!!!!!

find the distance between points (2, 9) and (5, 4) to the nearest tenth​

Answers

Answer:

[tex]Distance = 5.8[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(4-9)^{2} } { (5-2)} ^{2} \\[/tex]

[tex]d = -5^{2} + 3^{2}[/tex]

[tex]d= 25 + 9[/tex]

[tex]d= \sqrt{34}[/tex]

[tex]distance = 5.8[/tex]

help me and do it out please

2x+4=12

Answers

Answer:

x=4

Step-by-step explanation:

2x=12-4

2x=8

2x/2=8/2

x=4

The answer is x=4 I’m sure

Simplify 6(3a - 8b + 2)

Answers

6(3a-8b+2)
18a-48b+12

A​ company's stock began the day at ​$36.66 per share. That price drops by ​$1.69 each hour.
a. What is the price per share after 6 ​hours?

Answers

Answer:

After 6 hours the price per share is $26.52

Step-by-step explanation:

You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.

Hope this helps!

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