What is the scale factor of AABC to ADEF?
B
72
359
66
E
-35"
A 80°
12
80*
DS
11
42
65"
A. 6
B.
1
2
1
C.
02
D. 2

What Is The Scale Factor Of AABC To ADEF?B7235966E-35"A 801280*DS114265"A. 6B.121C.02D. 2

Answers

Answer 1

so we know that the size of the triangle is decreasing witch means that the scale factor is going to be a fraction. to find this fraction you are going to divide the smaller side by the corisponding longer side.

12/72= 1/6

the correct answer is c 1/6

Answer 2

The scale factor of triangles ABC and DEF is 6.

Option A is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

From the triangles,

The ratio of the corresponding sides of the two triangles must be equal.

The value of the ratio is the scale factor.

So,

AB/DE = BC/EF = AC/DF

This can be written as,

72/12 = 66/11 = 42/7

6 = 6 = 6

Thus,

The scale factor of triangles ABC and DEF is 6.

Learn more about scale factors here:

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Related Questions

Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let

x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise

Required:
Using the decision variables x4 and s4, write a constraint that sets next week.

Answers

Answer:

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     [tex]x_4 \le W_4 *  s_4[/tex]

    [tex]x_4 \le 5000 *  s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     [tex]x_6 \le W_6 *  s_6[/tex]

     [tex]x_6 \le 8,000 *  s_6[/tex]

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     [tex]x_4 \le W_4 *  s_6[/tex]

=>   [tex]x_4 \le 5000 *  s_6[/tex]

     [tex]x_4 \le W_6 *  s_4[/tex]

=>    [tex]x_4 \le 8000 *  s_4[/tex]

     [tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is  

   [tex]U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=>  [tex]U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

Step-by-step explanation:

The cost for the four cylinder production line is  [tex]C_4 =  \$2,100[/tex]

The cost for the six cylinder production line is  [tex]C_6 = \$3,500[/tex]

The manufacturing cost for each four cylinder is  [tex]M_4= \$13[/tex]

 The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]

  The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]

   The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     [tex]x_4 \le W_4 *  s_4[/tex]

    [tex]x_4 \le 5000 *  s_4[/tex]

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     [tex]x_6 \le W_6 *  s_6[/tex]

     [tex]x_6 \le 8,000 *  s_6[/tex]

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     [tex]x_4 \le W_4 *  s_6[/tex]

=>   [tex]x_4 \le 5000 *  s_6[/tex]

     [tex]x_4 \le W_6 *  s_4[/tex]

=>    [tex]x_4 \le 8000 *  s_4[/tex]

     [tex]s_4 + s_6 = 1[/tex]

The minimum cost of production for next week is  

   [tex]U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]

=>  [tex]U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]

Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26

Answers

Answer:

d,e

Step-by-step explanation:

rational numbers are positive and negative whole numbers.

Answer:

d,e

Step-by-step explanation:

Help APSPPP!!!!!!!!!!!!

Answers

Answer:

ok what u need help with

Step-by-step explanation:


The points (-2,-10) and (-1, v) fall on a line with a slope of 8. What is the value of v?

Answers

Here’s the answer of your question

The required value of v is -2 for a given line with a slope of 8.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given data as :

The points given are (-2,-10) and (-1, v).

Since the line with a slope of 8.

So in this case, we have:

m = (v - (-10)) / (-1 - (-2))

Solving for v:

8 = (v + 10) / 1

8 = (v + 10)

v = -10 + 8

Apply the subtraction operation, and we get

v = -2

Thus, the required value of v is -2.

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Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m

Answers

Answer:

8 x m = 45

Step-by-step explanation:

cassie has 9 times which means multiplcation so its the first one


Point M (-3, 6) and point 'N (1,-1) are located on a coordinate
grid.
HURRY!!! PLEASE I WILL GIVE BRAINLIEST!!

Answers

The distance between point M and point is is about 8.06 units (rounded to nearest hundredth)

3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.

Answers

Answer/Step-by-step explanation:

Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.

When x = 1:

y = 3.2(1) + 5

y = 3.2 + 5

y = 8.2

When x = 2:

y = 3.2(2) + 5

y = 6.4 + 5

y = 11.4

When x = 4:

y = 3.2(4) + 5

y = 12.8 + 5

y = 17.5

You have the following table:

x | y

1 | 8.2

2 | 11.4

4 | 17.5

To find out if y is proportional to x, find the ratio of y to x of each pair in the table.

x | y | ratio of y to x (y/x)

1 | 8.2 | 8.2/1 = 8.2

2 | 11.4 | 11.4/2 = 5.7

4 | 17.5 | 17.5/4 = 4.375

As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.

SOMEONE HELP WITH MY LAST TWO PROBLEMS

Answers

Answer:

What are your last 2 problems m8

Step-by-step explanation:

PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!

Answers

Answer:0=16  1=23   2=30   3=37   4=44

Step-by-step explanation:

GIVE ME BRAINLIESTTTTTTTT

you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

A line passes through the point (-2, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

y= (5/2)x+2

Step-by-step explanation:

Write the product using exponents.
(-4).(-4).(-4).y.y

Answers

The product would be -64y^2

Answer:

(-4)^3 * y^2

Step-by-step explanation:

hope it helps.

20x+x-2=4 rational equation​

Answers

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for x

Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7

Step 3: Check

Plug in x to verify it's a solution.

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

How many gallons are in Two-fifths of a One-half-gallon container of milk?

Answers

Answer:

one tenth of a galon

Step-by-step explanation:

I think this is the answer hope this helps (:

y= -2x - 45. solve for x if y = -10

Answers

Answer:

-17.5

Step-by-step explanation:

-10 = -2x - 45

(add 45 on both sides)

35 = -2x

(divide both sides by -2)

x = -17.5

What does it mean to divide a number by
a fraction (e.g., ¾)?

Answers

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B

Answers

Answer:

I'd say 50

Step-by-step explanation:

I just divided 150 by 3 since I only saw 3 toppings.

Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is

A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these

Answers

Answer: The sum of the area of it's faces

Step-by-step explanation: its the surafce area.

Robin Hartman earns $600 per week plus 3% of sales over $6,500. Robin's week sales are $14,000. How much does Robin earn

Answers

Answer:

$825

Step-by-step explanation:

Given that :

Weekly earning = $600 plus 3% of sales over $6500

If weekly sales = $14000

How much will Robin earn

Robin's earning will be:

Flat weekly pay + 3% of amount over 6500

$600 + 3%(weekly sales - 6500)

$600 + 0.03(14000 - 6500)

$600 + 0.03(7500)

$600 + $225

= $825

Please help me if you know it thank you so much

Answers

Answer:

a) 9 beats

b) 9 beats per minute

c) y=9x

d) 180 times

find 759 divided by 3

Answers

Answer:

253 .....is that it??

Step-by-step explanation:

Answer:

253!

Step-by-step explanation:

Please Assist!
What is the answer to this question???

Answers

Answer:

[tex](3.5,0.5)[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

P(5, -3)

Q(2, 4)

[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]

[tex](\frac{7}{2},\frac{1}{2} )[/tex]

[tex](3.5,0.5)[/tex]

A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infusion. Whats the total volume of the iv?

Answers

9514 1404 393

Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

  v/(6 g) = (100 mL)/(25 g)

  v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

  250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.

Answers

Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.

Step-by-step explanation:

Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.

Answer:

1/10th

Step-by-step explanation:

Write down the gradient of the line y =-4r+7.​

Answers

4
x
+
y
=
7
or
y
=

4
x
+
7
Comparing withe general equation of a straight line
y
=
m
x
+
c
we get slope
m
=

4
.
Putting x=0 in the equation we get
y
=
7
. So y-intercept is
y
=
7
graph{4x+y=7 [-20, 20, -10, 10]} [Ans]

Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?

Answers

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Haseem was given the following enlargement.
6 cm
3 cm
5 cm
22.5 cm
Figures not drawn to scale.
What is the perimeter, in centimeters, of the enlarged triangle?
0 13.5
27
O 49.5
63

Answers

Answer: The answer is 63

Step-by-step explanation:

I’m sorry I don’t know how to explain but I got it right

Answer:

63

Step-by-step explanation:

Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?

Answers

Answer:

I think its 3/2

hope it will help you

Plz help :( I need the negative if y plz show steps 6X plus 6Y equal 83/9 upper 2N

Answers

Answer:

x=8

Step-by-step explanation:

Simplifying

Combine like terms

Solving

Tony bought a new pair of soccer cleats that was originally priced at $110.00 He received a 40% discount. What is the total sale price for the cleats

Answers

Answer:

$44

Step-by-step explanation:

So this original price is 110 dollars, with a 40% discount.

1) You want to change 40% to a decimal to be able to multiply. this is 40/100=0.4

2) With that in mind you can then do 110x0.4=44

That means the new discounted price is $44.

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