The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' will
be the images of lines AC and PQ, respectively, under a dilation with center P and
scale factor 2.

Which of the following statements about the image of lines AC and PQ would be
TRUE under the dilation.

Line AC will be parallel to line AC, and line P Q will be the same line as line PQ.

Line AC will be perpendicular to line AC, and line P Q will be parallel to line PQ.

Line AC will be parallel to line AC and line P Q will be perpendicular to PQ.

Line AC will be parallel to line AC, and line P Q will be parallel to line PQ.

Answers

Answer 1

Answer:C

Step-by-step explanation:

Because they will be Parallel from each other and will be on the same line.

Answer 2

After the dilation line, AC will be parallel to line AC and line PQ will be perpendicular to PQ. Option C is correct.

What is dilation?

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

Given this, the figure depicts the intersection of lines AC and PQ at point B. Under a dilation with center P and scale factor 2, lines A'C' and P'Q' will be the images of lines AC and PQ, respectively.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

Line AC will be parallel to line AC and lines P and Q will be perpendicular to PQ. Because they will be Parallel to each other and will be on the same line.

Thus, after the dilation line, AC will be parallel to line AC and line P Q will be perpendicular to PQ. Option C is correct.

Learn more about the dilation here:

brainly.com/question/13176891

#SPJ2


Related Questions

If f(x) = 1/4x - 5 then find the value of f(12)

Answers

Answer:

f(12)=-2 because all you do is put 12 in for x so your equation is f(12)=1/4(12)-5

Using the diagram below, find the measure of each indicated angle.

Answers

Answer:

a= 140 b=140 c= 40 d= 140

Step-by-step explanation:

a b and d are congruent to the given angle and d is supplimentary to c so 140 +40 = 180

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? You jog faster. Your friend jogs faster. Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Answers

Answer:

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Step-by-step explanation:

Speed = Distance(km)/Time(hours)

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend's will finish a 5km race at a speed of 18.18 km/hr

Your speed is :

You jog 2 kilometers in 12 minutes.

Convert 12 minutes to hours

60 minutes = 1 hour

12 minutes = x

x = 12/60

x = 1/5 hour

Your speed is calculated as:

2km/1/5hour

= 2 km ÷ 1/5 hour

= 2 × 5

= 10 km/hr

Your friend's speed is calculated as:

Your friend jogs 3 kilometers in 16.5 minutes.

Convert 16.5 minutes to hours

60 minutes = 1 hour

16.5 minutes = x

x = 16.5/60

x = 0.275 hour

Your speed is calculated as:

3km/0.275 hour

= 10.909090909 km/hr

Approximately = 10.91km/hr

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend jogs faster, hence:

3 km = 10.91 km/hr

5km = x

x = 5 × 10.91/3

x = 18.183333333 km/hr

Your friend's will finish a 5km race at a speed of 18.18 km/hr

What value is equivalent to 3 x 12 ÷ (4 + 2) ?

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3  x  12 ÷ (4 + 2)

3 x 12 ÷ 6

36 ÷ 6

therefore the answer is: 6

how do you find the midpoint of a trapezoid ?

Answers

A trapezoid midsegment connects the midpoints of the two congruent sides of the trapezoid, and is parallel to the pair of parallel sides. The length of the midsegment is the sum of the two bases divided by 2. Remember that the bases of a trapezoid are the two parallel sides.

help please i am lost lol only if u know anwser

Answers

Answer:

Step-by-step explanation:

(4/3)^-2 = 9/16  

Since (4/3)^2 is 16/9 you will need to flip it since the power is a negative. Hope this helps.

Three coffees and two muffins cost a total of 7 dollars.
Two coffees and lour muffins cost 8 dollars. What is the
individual price for a single coffee and a single muffin?

Answers

My brain is going to explode

(ANSWER ASAP) sovle the inequality.​

Answers

Answer:

n < 9

Step-by-step explanation:

Answer:

n < 9

Step-by-step explanation:

A number Decreased 23 is 44. Find the number
Which equation can be used to solve this problem?

A) x - 23 = 44
B) 23 - X = 44
C) x - 44 = 23
D) 44 - x = 23

Answers

Answer:

let the number be x

therefore X - 23 = 44 which is A


[tex] \frac{ \sqrt[3]{8} }{27} [/tex]

Answers

Answer:

0.0740R

Step-by-step explanation:

The Number is repeating.

Find the value of a.
19 in
a
99 in
Perimeter
238 inches

Answers

Answer:

the answer is 60 inches

Step-by-step explanation:

you have to subtract the perimeter and the numbers that are shown after you add them

238-118= 120 then you have to divide that in half wich =60.

so (A)= to 60 inches.

What is the value of x?

A.) 2√29
B.) 2√61
C.) 2√101
D.) 2√133

Answers

Answer:

e

Step-by-step explanation:

e

10.6575
Rounded in whole form

Answers

Answer:

i am pretty sure its 11

Step-by-step explanation:

bc if you look at the nymber next to 0 its .6 and they say 5 and up round UP!!

Answer:

11

Step-by-step explanation:

Rounded to Nearest Whole Number =  

11

Rounded to Nearest Tenth =  

10

Rounded to Nearest Hundredth =  

0

Rounded to Nearest Thousandth =

0

I Give Brainiest

In the figure above,AD intersects BE at C. If x=100 , what is the value of y?

A) 100

B) 60

C) 90

D) 80

Answers

Answer:

The answer is D), 80.

Step-by-step explanation:

All sides of a triangle must add up to 180°. So, if x = 100, angle BCA must equal 60° because 180 - 120 = 60. Since angles BCA and DCE are vertical angles, they are equal, making angles DCE 60°. All you need to do now is add up 60 + 40; that should give you 100. You also need to subtract that from 180 to get your final answer of y = 80°.

The solution is Option D.

The value of y from the two triangles is given by the equation y = 80°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the first triangle be represented as ABC

Now , let the second triangle be represented as CDE

Now ,

The measure of angle x = 100°

The measure of ∠ACB = measure of ∠DCE ( vertically opposite angles )

And , for a triangle ∠A + ∠B + ∠C = 180°

So , The measure of ∠ACB  = 180° - ( x° + 20° )

And , the measure of ∠DCE = 180° - ( y° + 40° )

Substituting the values in the equation , we get

180° - ( x° + 20° ) = 180° - ( y° + 40° )

when x = 100°

Subtracting 180° on both sides of the equation , we get

- ( x° + 20° ) = - ( y° + 40° )

( 100° + 20 ) = ( y° + 40° )

( y° + 40° ) = 120°

Subtracting 40° on both sides of the equation , we get

y = 80°

Hence , the measure of angle ∠y = 80°

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

please help me with this

Answers

Answer:

0, in other words the origin

Step-by-step explanation:

The answer is 0 because, the lines touch (intercept) At 0

I have no idea how to do this. The homework is done in 20 minutes help

Answers

Answer:

−4<x≤4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3<x+1≤5

−3+−1<x+1+−1≤5+−1(Add -1 to all parts)

−4<x≤4

Answer:

−4<x≤4

The ratio of a to 5 equals b

Answers

What do we do here? Tell me in the comments, please!

The value of a for the ratio a:b = 5 will be 25.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of a to 5 equals b. When b = 5 the value of 'a' will be calculated as below,

a / 5 = b

a / 5 = 5

a = 5 x 5

a = 25

Hence, the value of 'a' will be 25.

To know more about ratios and proportions follow

https://brainly.com/question/2914376

#SPJ2

Answer problem 1 of trig problem

Answers

Answer:

sin

Step-by-step explanation:

If D varies directly with t and D is 105 when t is 3, find D when t is 8.

a) 280
b) 840
c)35​

Answers

Answer:

a

Step-by-step explanation:

3 ____ 105

8 ____ x

x = 8 . 105 / 3

Answer:

840

Step-by-step explanation:

PLEASE FAST (view picture, math related) IM BEING TIMESS PLSS

Answers

it's it's been a while since I've done this but

every input must have one output

5, 7 and 2

2, 6 and 5

9, 9

4, 15

i believe it would be the middle one and I do not think it is a function.

Which of the following is the quadratic parent function A.f(x)=1/x B.f(x)=|x| C.f(x)=x^3 D.f(x)=x^2

Answers

Answer:

x^2

Step-by-step explanation:

Brown Middle School wants to keep
seventh-grade dassroom sizes at a
maximum of 22 students per
dassroom. If there are 300 seventh-
grade students and no classroom can
have more than 22 students, how
many dassroom teachers are needed?
A At least 10
B At least 13
C At least 14
D At least 15

Answers

Answer:

D

Step-by-step explanation:

Divide 300 by 22. Using an estimate, 300/20 is 15 so I would say at least 15.

Hope this helps please mark brainliest if correct :D

1/3 *1/34 +-67 ......​

Answers

Answer:

-66.9901960784

Step-by-step explanation:

yes

Answer:

-66.9901960784

Step-by-step explanation:

1/3 × 1/34 + (-67)

1/102 - 67

1 - 67 × 102/102

1 - 6834/102

- 6833/102

= -66.9901960784 or -67

Abelie flew by plane from Dubai to Rome.
The flight time was 6 hours 42 minutes.
The average speed of the plane was 650 kilometres
per hour.
Work out the distance the plane flew.

Answers

Answer:

4355

Step-by-step explanation:

So first we will see how much is each hour

650 kilometres per hour.

So next we can work out how is 6 hours since that is easy.

650 X 6 = 3900

Next is the 42 mins

All you need to do is

650/ 60 = 65/6

65/6 X 42 = 455

Last step:

3900 + 455 = 4355

Done!

Hope I helped!

The distance is 4,355 km.

Given that,

The flight time was 6 hours 42 minutes. The average speed of the plane was 650 kilometres per hour.

Based on the above information, the calculation is as follows:

We know that

[tex]Speed = Distance \div time \\\\Distance = Speed \times time[/tex]

Now for 6 hours, and 650 km/hr, the distance is 3,900

And, for 42 mins, and 650 km/hr the distance is [tex]650\div 60 \times 42[/tex] = 455

So, the total distance is

= 3,900 + 455

= 4,355 km

Learn more: brainly.com/question/24169758

Find the slope and y-intercept of the graph of the equation.

Answers

Answer:

The slope is 3 and the y-intercept is 8

Step-by-step explanation:

The formula y=mx+b with m being the slope and b being the y-intercept,

The numbers in those places show us that 3 is in the slope spot and 8 is in the y-intercept spot.

NEED ANSWER FAST! PLS HELP!


In an arithmetic sequence, the 4th term is 18 and the 5th term is 22. What is the first term?​

Answers

Answer:

HI MATE,

Step-by-step explanation:

THE ANSWER IS 6

What is the slope of line that passes through the pair of points (4,7),(7,-2)

Answers

Answer: -3

Step-by-step explanation: Plug the points into rise over run and solve

hope this helps;)

10000 in standered form​

Answers

Answer:

WHAT THATS EASY

Step-by-step explanation:

10000=104, 10 = 100

10 to the 4th power

have a good day

Find the zeros of the function enter the solutions from least to greatest[tex]H(x)=-5x^2+180[/tex]

Answers

Answer:

x=36

Step-by-step explanation:

Function Q gives a puppy's weight in
pounds as a function of its age in months.
Use function notation to represent the
statement.
When the puppy was a months old, it
weighed w pounds.
O Q(w) = a
O Q(a) = w

Answers

Answer:

[tex]Q(a) = w[/tex]

Step-by-step explanation:

Given

w = weight

a = age

Required

Represent the weight as a function of age

When writing a function.

[tex]y = f(x)[/tex]

means that y is a function of x

Using the above to answer the given question, we have:

[tex]w = Q(a)[/tex]

Which means w is a function of a

and can be rewritten as:

[tex]Q(a) = w[/tex]

Other Questions
During the Cold War, nuclear proliferation and militarization resulted in which of the following?decreased tension between the two superpowersincreased tensions between the US and the Soviet Union.a peace treaty between the superpowersa deadly nuclear warANSWER IS B Suppose that a mouse with black fur has both an allele for black fur and an allele for white fur (Bb). Based on this information, you can conclude that the dominant allele must be for fur andthe recessive allele must be for fur. helpppppp pllzzzzzzzzz Which group was backed by the United States? This watercolor, entitled The Adirondak Guide, was painted by which artist?a. Winslow HomerC. Mary Cassetb. Jan Vermeerd. Leonardo da Vinci Are racial considerations always illegal ? Which statement describes the movement of water when a cell shrinks and shrivels due to osmosis?Water went into the cell because the concentration of water inside the cell was lower than the concentration outside the cell.Water went out of the cell because the concentration of water inside the cell was higher than the concentration outside the cell.The cell membrane used energy to move water into the cell through passive transport.The cell membrane used energy to move water out of the cell through passive transport. another shoe i made not the best but 0/10 An isosceles triangle has base angles that each measure 23 degrees. Which equation can be used to find x, the measure of third angle of this isosceles triangle in degrees? A sales clerk at a local hardware store sells you a hammer with a mechanical advantage of 10 when used to pry up nails. You are able to create a force of 60 N. Using the hammer, what would be the maximum force that could be generated to remove a nail? Who is the author of the Canterbury Tales? A.Geoffrey ChaucerB.Leonardo da VinciC.King Henry VIIID.William Shakespeare Which of the following statements is true?A. An artisan specialized in farming.B. An artisan specialized in making goods.C. An artisan specialized in driving chariots.D. An artisan specialized in trading goods. A full stretching session should take between ten to twenty minutes Can someone help me and show steps Ill mark you brainliest (4c + 7) + (8c + 8)(adding and subtracting polynomials) During the scientific stage which would be the reaction to present high school dropout rate You will need to include the following information:Choose a day and timeExplain what people around you are doing (using the present progressive)Must use at least 10 different verbsMust use at least 3 different personal pronouns (yo, ella, nosotros)Rubric Choose a day and time Proper SpanishPresent progressive. 10 different verbs in full sentences and 3 different personal pronouns (yo, ella, nosotros)Communicate effectively and creatively in written Spanish in present tense. Recall vocabulary from everyday situations in Spanish Who supervises the actors and action in a production of a play?the actorsthe stagehandsthe playwrightthe director In this song, the singer is complaining about a neighboring country where a young teenager is incarcerated for hunger driven theft, while murderers roam free. What's the song?