Mathematics Middle School

Giving brainy

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).

Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer 1

Answer:

The scale factor from triangle PQR to P'Q'R' is 1/4.

The length of each side of the triangle is divided by 4, in other words it is multiplied by the scale factor of 4.

If P'Q'R" is reflected over the y-axis the new points would be: (1, 0) (0, 1) and (-2, 1).

No, the triangles are not congruent. There was a dilation of 1/4 in the triangles.

Step-by-step explanation:

Answer 2

^i also got that same answer!

Related Questions

WILL GIVE BRAINLIEST

Which of the following has a slope of 3 and y-intercept of 4. Select all that apply

y=4x+3y is equal to 4 x plus 3

y = 3x + 4
y = 3x + 4

y = -3x - 4
y = -3x - 4

Answers

Y=3x+4 the number in the middle with the x is always the slope and the number in the end is always the y intercept to graph it you wanna find (0,4) on the graph. 3x = 3/1 on the graph from the y intercept you wanna go up 3 which would be (0,7) and go right one which would be (1,7) so the answer is (0,4) (1,7)

y=mx + b
m= slope
b = y-intercept
y=3x + 4

Solve for x.
3x + 4x = 14
X =

please explain how you got the answer too

Answers

X=2
You add 3x and 4x which is 7x then divide 14 by 7 which is 2

leven purple marbles, seven orange marbles and two pink marbles are in a bag. What is the probability of selecting a purple marble, not replacing it, and then selecting an orange marble?

Question 4 options:

19%

20%

21%

22%

Answers

Answer:

The probability of picking a purple marble, and then, not replacing picking an orange marble is approximately 20%

Step-by-step explanation:

First we know that there are 20 marbles in the bag, so the probability of picking a purple marble is 11/20. If we take a purple marble out, there will only be 19 marbles remaining in the bag. So the probability of picking an orange marble would be 7/19. Now, all we need to do is multiply the 2 fractions, and we will get 77/380 which equals to which is approximately 20% .

Answer
The answer is 20%

You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.

Answers

i think it's 1/2 or 1/4

PLZ Help me ima just be posting alot of stuff i need help with :)

Answers

C because if you add 560 and 336 u get 896 then with C add 5 and 3 hundreds which is 8 hundred plus 6 and 3 tens which totals to 890 plus 6 ones equals 896 and they are the same :)

Emily has a cube with an edge of 8cm. If she wants to paint it, how many square centimeters will she paint?

Answers

Answer:

384 cm ^2

Step-by-step explanation:

Basically, we're finding the surface area.

The cube is 8*8 all around

Each box has an area of 64cm each.

There are 6 sides on a cube.

64*6 = 384

Hopefully this made since.

(EASY POINTS) Answer num: 5 with a detailed explanation. :)

Answers

Answer:

There is no picture

Step-by-step explanation:

Commutative property of multiplication: Changing the order of factors does not change the product. ... Associative property of multiplication: Changing the grouping of factors does not change the product.

Use either the commutative property or combine like terms to create an equivalent expression
from the expression 9(2j + 5j).

Answers

Answer:

9(7j)/63j

Step-by-step explanation:

9(2j+5j)

= 9(7j)

= 63j

Okay so first you would want to mutiply 9 and 2 which gets you 18j the multiply 9 and 5 which gets you 45j then add like terms which in this case is 45j and 18j that will get you 63j and that’s your answer.

Which cereal box deal has the best price per ounce?

$9.13 for 39 oz

$6.12 for 24 oz

$4.98 for 18 oz

$3.56 for 14 oz

Answers

Answer:

I believe it is A.

i hope this helped

I think it’s A:))))))))

The first person to answer this correctly with an explanation gets Brainiest.

Answers

Answer:

1.) The height of the cone is 10 and the volume is 2355

2a.) Height 5= Volume 1177.5.

2b.) Height 30= Volume 7065

3.) (I'm not exactly sure because I haven't done this in a while.)

I guess 30= diameter

4.) 1 unit of height = 235.5 units of volume

Sorry if i messed up 3 or 4. I haven't calculated this stuff in a while.

Step-by-step explanation:

1.) It says the height of the cone on the horizontal ray and volume of the cone of the vertical ray.

2.) Divide 10 by 2 to get 5 height - Divide 2355 by 2= 1177.5

2b.) Multiply 10 by 3= 30 height - Multiply 2355 by 3= 7065

3.) r= √3× (V ÷ h) subtitute: r= √3× (2355 ÷ 3.14× 10)

simplify: r= 14.99... Diameter = 2 radius so about 30

4.) Divide 2355 by 10 to get the unit ratio. 1 unit of height is 235.5 volume.

14y=84
there's 2 boxes in the bottom

Answers

y=6. if you’re looking for what y is

Answer:

y = 6

Step-by-step explanation:

If 14y = 84, then

y = ------ = 6

Nadia's grades on four quizzes were 95, 75, 85, and 95. Find the mean, median, and mode for Nadia's grades.

Answers

Answer:

mean: 87.5

median: 80

mode: 95

What is mean? : the sum of a collection of numbers divided by the number of numbers in the collection so for this is:

95+75+85+95= 350 divided by 4 because there's 4 numbers = 87.5 which is the mean

What is median?: The median is the value separating the higher half of a data sample so for this think of crossing each number at the opposite sides: 95 and 95 cancel now your left with 75 an 85 add them up and divide by 2 because there's 2 numbers **for median you are either left with 1 number or 2 if the case is 2 you ADD first then divide by 2 ALWAYS**: 75+85= 160/2= 80 for median

What is mode?: The mode is the value that appears most often in a set of data. So as we know 95 repeats the most

First u want to order the numbers from greatest to least 95,95,85,75
Mean: all numbers added up then divided by the number of numbers u have. So 95+95+85+75= 350 divided by 4 = 87.5
Mean=87.5
Median: the middle number. So after the numbers r ordered from greatest to least take one number off each side until u get to the middle. In this case there are two middle number 95 and 85 so u add them then divide by 2 95+85= 180 divided by 2= 90
Median= 90
Mode: the number that repeats most in the set of numbers. In this case the mode is 95 because there r 2 95s
Mode: 95

A. does 24 ft = 2in ?

Answers

No, your answer should be,

[tex]\Huge\boxed{288}[/tex]

To convert feet into inches, you multiply the length value by 12. Your mistake is you got it mixed-up. 24ft doesn't equal 2in, but 24in equals 2ft, because instead of multiplying 12, you divide by 12.

24ft → 288in

24 × 12 = 288

24in → 2ft

24 ÷ 12 = 2

Hence, 24ft doesn't equal 2in.

24 doesn’t equal 2.

PLEASE HELP! I CANT GET A BAD GRADE!

--------------------------------------------
Consider the data below.

2, 2, 2, 3, 5, 6, 8, 30

The mean decreases by ? when the outlier is removed.

Answers

Answer:

It is decreased by 3.25

Step-by-step explanation:

When you add all 8 numbers you'll get 58 then you divide them by 8 you will get 7.25 which is the mean. To find out what is the decrease we need to take out the 30 and add all the other numbers and we get 28. After that you divide 28 by 7 and you get 4. Subtract 4 from 7.25 and you get 3.25.

2+2+2+3+5+6+8+30=58

58/8=7.25

2+2+2+3+5+6+8=28

28/7 = 4

7.25-4=3.25

Simplify -24 • 3

Giving Brainliest^^

A) -27
B) -72
C) 27
D) 72

Answers

Answer:

-72 is the answer for your question

Answer:

-24 • 3 = - 72

• - 72

Step-by-step explanation:

#CarryOnLearning

Scott's gas tank is 1/3 full. After he buys 12 gallons of gas, it is 7/9 full. How many gallons can Scott's tank hold?

Answers

Answer: We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/3x or 1/3 of a full tank.

After adding 12 gallons, at the end, he has 7/9x, or 7/9 of a full tank

So we start with

(1/3)x + 12 = 7/9x

Let's subtract 1/3x from both sides

12 = 7/9x - 1/3x

Remember, we need to use common denominators to subtract, so 1/3 becomes 3/9

12 = 7/9x - 3/9x

Now we simplify to get

12 = 4/9x

Multiply the reciprocal of 4/9 to both sides which is 9/4

12 * 9/4 = x

Answer is 27 gallons.

Sam found the area of a polygon. The area is 36 in2. Which of these polygons has an area of 36 in2? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

Because:

4x3:2=6in2

3x8=24in2

24in2+6in2+6in2=36in2

Answer:

C is correct

Step-by-step explanation:

I did the math again the other person is correct

Anquan rolls a number cube (numbered 1-6)
50 times. Which is the closest to the number of
times he should expect the cube to land with
the number 6 facing up.

A. 6
B. 8
C. 12
D. 14

Answers

Answer:

Step-by-step explanation:

theoretical probability of rolling a 6 is 1/6

1/6 multiplied by 50 is 8.3

B. 6. To get the probability of 6, divide 50 by 6. That’s is 8.3, which is close to 8. Please mark brainliest would greatly be appreciated.

How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts?
75 p + 150(10) = 100( p + 10)
75 p + 150 = 100( p + 10)
75( p + 10) + 150(10) = 100( p + 10)

Answers

Answer:

75p+150(10)=100(p+10)

75 p + 150 (10) =100 ( p+ 10)

In a wildlife preserve, a random sample of the population of 150 raccoons was caught and weighed. The results, given in pounds, were 17, 19, 19, 24, 25, 27, 30, 31, 31, and 32. Jean made the qualitative statement, "The average weight of the raccoon population is 26 pounds." Is her statement reasonable? Complete the explanation.

Jean's statement (is/is not) reasonable because the median value of the data is _________ pounds.

Answers

Answer:

Jeans statement is reasonable because the median value of the data is 26 pounds

Step-by-step explanation:

Evaluate each expression for the given variable.

(5) 3(x + 4) - x when x = 2
2

(6) 5p + 9 + 2p + 5 when p = 5
2 3

Answers

Step-by-step explanation:

1.) 3(x + 4) - x. when x - 2

3(2 + 4) - 2

3 × 6 - 2

18 - 2 = 16

2.) 5p+9+2p+5. when p - 5

5 × 5 + 9 + 2 × 5 + 5

25 + 9 + 10 + 5

49.

When x=2 the answer is 16
When p=5 the answer is 49
Hood this helps

Help me PLEASEEEEEEEEEEEE :C

Answers

Answer:

im thinking number #A but it also d

Answer:

C. Negative correlation

Step-by-step explanation:

I hope this is correct,

Have a nice day!!

can u plz help me on this plz.

Answers

Answer: no questions

Step-by-step explanation:

Find the approximate area of a circle with a diameter of 100 cm use 3.14 for pi

Answers

Answer:

7850

Step-by-step explanation:

3.14r^2

3.14(50)^2

3.14(2500)

=7850

Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)
Can you please help?
the points (1,k) and (0,4) fall on a line with a slope of -9. What is the value of k?

Answers

Answer:

Step-by-step explanation:

Two bags each contain black and white marbles, as shown below. If Karl draws one marble from each bag, what is the probability that they will both be black?
A.3/7
B.1/6
C.11/12
D.3

Answers

Answer:

The answer is A

Step-by-step explanation:

Hope this helps!

Answer:

I think A. But I'm not 100% sure.

Step-by-step explanation:

The translation above shows an object moving?

Answers

Answer:

A I think, but these question were never by strongest point in math.

Step-by-step explanation:

Answer:

A 8 to the right 6 up

Step-by-step explanation:

All you have to do is count the number of spaces between the two

he owner of a produce stand is selling bunches of grapes, priced by the pound. She rounded each measurement to the nearest \dfrac{1}{8} 8 1 start fraction, 1, divided by, 8, end fraction of a pound.

Answers

Yes I agree I don’t have a good night I have no idea what I am doing lol I just don’t have a problem I don’t

does anyone know what comes after a teraanumm? (like a century, decade, millennium, myriad, etc) I will give you the brainiest answer if you can tell me!!! (if you do it for points you will get a warning)

Answers

Answer:

Step-by-step explanation:

Decade Ten years

Century One hundred years

Millennium One thousand years

Decem millennium Ten thousand years

Centum millennium One-hundred thousand years

Mega-annum or Epoch One million years

Aeon One billion years

A 12-sided die is numbered 1-12. What is P(rolling a number less than 7)

Answers

Answer:

1/2

Step-by-step explanation:

This 12-sided die has 6 surfaces (sides) numbered less than 7. Thus,

P(rolling a number less than 7) = 6/12 = 1/2

6/12 so the answer will be 1/2

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