ABC is dilated using a scale factor of 12 to produce A'B'C'. Select all of the statements that apply to the transformation.

Answer:Options (3) and (6)Step-by-step explanation:ABC is a dilated using a scale factor of [tex]\frac{1}{2}[/tex] to produce image triangle A'B'C'.Since, dilation is a rigid transformation,Angles of both the triangles will be unchanged or congruent.mA = mA' and mB = mB'Since, sides of A'B'C' = [tex]\frac{1}{2}[/tex] of the sides of ABCArea of A'B'C' = [tex]\frac{1}{2}(\text{Area of triangle ABC})[/tex]Area of ABC > Area of A'B'C'Since, angles of ABC and A'B'C' are congruent, both the triangles will be similar.ABC ~ A'B'C'Therefore, Option (3) and Option (6) are the correct options.

Mathematics College

ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.

ABC Is Dilated Using A Scale Factor Of 12 To Produce A'B'C'. Select All Of The Statements That Apply

Answers

Answer 1

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of [tex]\frac{1}{2}[/tex] to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = [tex]\frac{1}{2}[/tex] of the sides of ΔABC

Area of ΔA'B'C' = [tex]\frac{1}{2}(\text{Area of triangle ABC})[/tex]

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

Answer 2

Answer: The Third option and the sixth option.

Step-by-step explanation: I have had this question on a test before and i got the answer correct. i hope this helped.

Related Questions

Water flows from a faucet at a constant rate. Kian
measures 8 cups of water in 6 seconds.
What is the constant of proportionality for the relationship of cups of water to minutes?

Answers

Answer:

4 cups every 3 second which means so 80 cuos in one minute

Step-by-step explanation:

hope this helps

The constant of proportionality for the relationship of cups of water to minutes is 80

Represent cups with c and time with t.

So, the given parameter can be represented using the following ratio

c : t = 8 : 6

Multiply by 10

c : t = 80 : 60

60 seconds = 1 minutes.

So, we have:

c : t = 80 : 1

Express as fractions

[tex]\mathbf{\frac ct = \frac{80}1}[/tex]

Multiply both sides by t

[tex]\mathbf{\frac ct = 80}[/tex]

Multiply both sides by 6

[tex]\mathbf{c = 80t}[/tex]

A proportional equation is represented as:

[tex]\mathbf{c= mt}[/tex]

Where m represents the constant of proportionality

By comparison:

[tex]\mathbf{m = 80}[/tex]

Hence, the constant of proportionality is 80

Read more about the constant of proportionality at:

https://brainly.com/question/18707816

Which graph represents the function f(x)=4/x
?

Answers

Answer:

graph shown below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Brendan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $50 for the initial consultation and then $60 per session. Another plan is to charge $100 for the consultation and $50 per session. Brendan realizes that the two plans have the same cost for a certain number of sessions. After how many sessions will the pricing be the same?

Answers

Answer:

1700

Step-by-step explanation:

Butter is packed in 250g packs. What will
the moss, in pounds of a pack of butter?

Answers

Answer:

loss=54-52.5

Step-by-step explanation:

=1.5Rs

loss%=loss/CP×100

=1.5/54×100

2.78%

PLZ MARK AS BRAINLIST

what is 11 divided by 3/4 in fraction form

Answers

The answer would be 14 2/3.

What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4

Answers

Answer:

The answer should be y=2x+5

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.

Answers

Answer:

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: -3/4x - 3/2

Hope this helps! :)

The correct matches are,

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

We have given that,

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

What is the linear model?

The term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with a linear regression model.

Match each linear model to its inverse.

Therefore the correct matches

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

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In a sixth grade class the ratio of boys to girls is 4:3 if there are 35 students in the class how many girls are there

Answers

Answer:

The given ratio is 3:4 this means there are 7 people in each unit of this ratio.

It is stated that there are 35 students in total . That would mean that there are

5 Total sets of students in this class . When we multiply the numbers in our starting ratio by this multiple of 5 , our ratio now becomes 15 : 20

15 and 20 do indeed add up to 35 … But , our question wants to know how many more GIRLS are in the class . Boys were calculated to be 15 in number .

Girls were calculated to be 20 in number .

We now know there were 5 more girls than boys in that class ..

5 is your answer .

1.3K views

Vivek Sharma

Answered January 9, 2020

total number of student in class=35

let the number of boys be 3x

let the number of girls be 4x

so therefore 3x+4x=35 =>7x=35 =>x=5

so therefore number of boys in class is 3x=>3(5)=15

and number of girls in class is 4x=>4(5)=20

so there are 20–15=5 more girls in class than boys.

5.3K viewsView 1 Upvoter

Ashis Ghosh, former Retired officer at State Bank of India

Answered April 8, 2019 · Author has 4.4K answers and 931.6K answer views

Let the number boys in the class be b. So b/(35-b)=3:4, or 105-3b=4b, or 7b=105, or b=15. The number of girls in the class is 35-15=20 20-15=5

Ans: there are 5 more girls than the number of boys in the class.

576 viewsView 1 Upvoter

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Related Questions

The ratio of boys to girls in a class is 3:2, if there are 12 girls, how many boys are there?

Step-by-step explanation:

About 4 out of every 5 people are right-handed. If there are 30 students in a class, how many would you expect to be right-handed? How many to be left-handed?

Answers

Answer:

You would expect 24 right handed and 6 left handed

Step-by-step explanation:]

5 x 6 =30

According to Newton's 1st law of motion, . . . . .
A . for every action, there is an equal and opposite reaction.
B . force = mass * acceleration
C . an object will remain at rest unless an external force acts upon it.

Answers

Answer:

Step-by-step explanation:

Answer:

I believe it is C. I am not 100% sure but I do believe I am right

who want crown things

Answers

Answer:

meeee plzzzzzzz even thow i have no idea whta that ios

Step-by-step explanation:

There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them bought 2 binders and 5 notebooks. The students have a total of $420 to spend.

Answers

Answer:

Step-by-step explanation:

There's 24 students so I would do 5 × 24 which equals 120 so 420 - 120 is 300. Then 2 × 24 is 48. Now 300-48 is 252. They would have $252 left.

Problem:

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.

Answers

Answer:

The answer is: y = 9.25x

Step-by-step explanation:

Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.

Here, m is the constant of proportionality and we have to find its value.

Given that Craig earns $37 for 4 hours duty.

So, from equation (1), we have 37 = 4m, ⇒ m = 9.25

Therefore, the equation becomes y = 9.25x. (Answer)

What is an expression equivalent to 5x+10 using the distributive property?

Answers

Answer:

5x + 10

Step-by-step explanation:

I did the math and checked. :)

What is the solution to the equation 1.6 m - 4.8 = -1.6 m

Answers

Answer:

The answer is m= 1.5

Step-by-step explanation:

hope this helps

Find the measure of the missing angle

Answers

The line is straight, so the 2 angles have to equal 180. Since we already know one angle is 21 degrees, we can subtract that from 180 to find the measure of the second angle. 180-21=159
So the measure of the other angle is 159 degrees.

x/10 =170/100
solve for x

Answers

It’s 17

A a a a a a. Ed s. A a a a

Answer: it should be 17

Step-by-step explanation: 10*10=100 so 170/10 would be 17

538 = ? hundred + ? tens + ? ones

What is the answer?
(I am doing this cause my friend won't stop saying that 8 is in the tens

Answers

Answer:

500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.

Step-by-step explanation:

500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.

where n 2 1
OS – On -3
1-
Mn
(
01'0
-
1
)
=
"
n

Answers

I dont understand can u put the question in full form

PLS HELP IM BEGGING You

Answers

Answer:The anwers is 5/6 in decimal it is 0.83repeating

Step-by-step explanation:

Peter collected 171 marbles but lost 3/4 of them on his way home through of hole in his bag when he arrived at home now many marbles did Peter have left?

Answers

The answers is 43 since 171 divided by 4 is 42.75. So then multiply that by 3. and subtract that from 171. and u get ur answer which is 43

The number of marbles Peter had when he arrived home was 43 marbles

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The number of marbles Peter had on his way home = 171

The amount of marbles he lost on his way home = ( 3/4 ) th

Now , the amount of marbles Peter have left = 1 - amount of marbles he lost on his way home

The amount of marbles Peter have left = 1 - 3/4

= ( 1 / 4) th

So , The number of marbles Peter had left when he arrived home is =

Amount of marbles Peter have left x Number of marbles Peter had

The number of marbles Peter had left when he arrived home is = (1/4) x 171

= 171 / 4

= 42.75

≈ 43 marbles

Hence , the number of marbles Peter had left when he reached home is 43

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If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)

Answers

The given function is

[tex]h(x) = \{ (0,1), (2,3), (-4, 1) \}[/tex]

The inverse function is

[tex]h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}[/tex]

To get the inverse, we swap each x and y coordinate.

The rule is [tex](x,y) \to (y,x)[/tex]

So that's why the point (0,1) becomes (1,0) for instance.

Tell whether the angles are complementary or supplementary. Then find the value of x

Answers

Answer:

Complementary, x=78

Step-by-step explanation:

90= (x-8)+20

complementary angles add up to 90 degrees.

Answer:

Complementary, x is 78

Step-by-step explanation:

Let's first define what complementary and supplementary angles are. Complementary angles add up to 90 degrees, and supplementary add up to 180. From this image, we can see that this is a right angle. Right angles add up to 90 degrees, therefore, this is a complementary angle.

Now, because we know that it is 90 degrees and that (x-8)+(20) = 90, then we can solve for x. However, if the angle is unknown, then we would do x-8=20. In this case, sense we know for sure this angle is complementary, we do

(x-8)+(20) = 90

X+12=90 We combined like terms

X=78 Inverse operations

You can plug 78 into x and check to see if it is correct if they are 90 degrees total.

Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end, I don't know what answer to choose. Both seems correct to me.

Answers

Answer:

Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,

Select the correct answer.

What is the sum of -65 and 6 4/5?
A. 12 4/5
B.29/5
C.0
D. – 12 4/5

Answers

Answer:

a i think not sure sorry

Solve the proportion for x

Answers

Answer:

x = 1

Step-by-step explanation:

x / 5 = 5 / 25,

Divide the denominators bigger one to smaller one, then that is the numerator for the larger fraction.

do 5 divided by 5 which is 1

Or a more simple way,

1/5 = 5/25 multiply 1/5 by 5 top and bottom which gets 5 / 25

Answer:

x = 1

Step-by-step explanation:

Step 1: Cross-multiply

x*(25) = (5)*(5)

Step 2: Divide both sides by 25.

Answer is 1

a group of 8 friends go out to pizza. each person will buy a soda and 2 slices of pizza. Let s represent the cost of sodas and p represent the cost of pizza slices

Answers

Answer:

Step-by-step explanation:

If I'm not mistaken you're looking for an equation, if not then comment below...

y = 8s + 16p

Since there's 8 of them, they'll get 8 sodas total and 16 sliced of pizza total.

3 How are part-to-part ratios different from part-to-whole ratios?

Answers

Ratios can be divided into part-to-part ratios and part-to-whole ratios. Part-to-part ratios provide the relationship between two distinct groups

help :((
Provide a small explanation if possible!!

Answers

Answer:

r = 24

Step-by-step explanation:

Just reverse everything,

3 x 16 = 48,

48 ÷ 2 = 24,

to double-check,

if you plug in 24 for r then you have,

2(24)/3 = 16

48/3 = 16

16 = 16

What is the range for the set of data? 6,7,10,12,12,13

Answers

Answer:

what is range?

Step-by-step explanation:

Answer:

Step-by-step explanation:

13-6=7, so the answer is 7,

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