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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)

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/4

(B) Coordinates of Δ P"Q"R"

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (4,0),

Q(0,-4)

R(-8,-4)

Coordinates of P'Q'R' are

P'(1,0)

Q'(0,-1)

R'(-2,-1)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula =

Where D = Distance between two points

from distance formula we can write that

PQ =

Similarly

P'Q'=

PQ /P'Q' = 4

hence the scale factor of dilation is 1/4 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

So the Coordinated of Δ P"Q"R" can be written as

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

What is the slope of this line of best fit?


17

−67

−16

16

Write an essay for your school newspaper arguing whether playing video games significantly affects physical health. Your essay must be based on the ideas, concepts, and information that can be determined through analysis of the “Do Video Games Have a Major Effect on Players’ Physical Health?” passage set. Your response must be typed. Please see the attached rubric and resources for guidance.

Can someone help me with this exempalar? The requirements for this are...
What I need to find (I did it so you do not need to do it)
My plan (what to do like multiply or divide)
Solution (your work)
Answer and explanation (answer it and explain)
That’s all! Thank you for helping :)

The side length of a square is represented by the expression n - 1.5. Which expression can be written to find the perimeter of the square?

A. 4n - 1.5

B. 2(n - 1.5) + (n - 1.5)

C. 1.5n - 4

D. 4n - 6

Use the trend line in the following graph to predict the profits a bagel shop will make 22 months after opening.
A.
$28,000
B.
$13,000
C.
$12,500
D.
$15,000

Pls helppp 3 part question

What is the fractional equivalent of 1.37?

Which are equivalent ratios to 3:4?
Check all that are true.

6:8

15:20

9:12

9:15

16:20

Actually answer and don't ask for brainliest
A hotel survey showed that nearly 30% of the guests staying at the hotel were there for personal reasons. The remainder of the guests were at the hotel on business.

Use the table of randomly generated letters to answer the questions about this scenario. The letter P represents personal reasons, and B represents business reasons.

BBB PBB BPB PPB BBP
BBP PBB PPB PBB BBP
BBP BPB BBB BBB BBB
PPB BPB PBP BPB BBP
BPB PBP PPB PBB BBB
Based on this data, the estimated probability that exactly two of the three guests randomly picked were not there for personal reasons is .

The estimated probability that it takes at least four guests to find one who is staying for personal reasons is .

WILL GIVE BRAINLIEST

A barge can safely haul no more than 400 tons across the river.
The barge has an empty weight of 24 tons. The average weight of the railroad cars is 4 tons each. How many railroad cars can the barge haul?

2. In order for the barge operator to meet his expenses, he has to haul
at least 120 tons of freight. How many railroad cars must the barge operator haul on each trip to at least break even?


3. Write a compound inequality that gives the range of the number
of railroad cars that the barge can haul which will allow the barge operator to at least break even.

Please help, this is due soon!

EXPERT HELP: EXPLAIN THE ANSWER AND DON'T GUESS

A mayor wanted to see if the people in his town thought he was doing a good job. Which choice best represents a sample?

Cylinder A, B, and C have the same radius but different heights. Put the cylinders in order of their volume from least to greatest.

Please help I will reward brainliest

ASAP HELPP PLSSSSSSSSSSSSSS

What are the measures of ∠1 and ∠2? (HELP ASAP USE IMAGE!!)

Edgar ran 18 2/5 miles and walked 10 1/2 miles. How much further did Edgar run than walk?

Sixty percent of students in your school own a bike. Of a sample of students in your school, the ratio of students who own a bike to students who do not own a bike is 4:10. Does the sample closely estimate the percentage of students in your school who own a bike?

Gabby mixes ½ tablespoon of paprika for every ¾ teaspoon of salt. Calculate a unit rate to represent the amount of paprika per 1 tsp of salt.

PLEASE ANSWER I NEED HELP~The scale drawing below is being used to build a wooden table. The scale in this drawing is 1 cm = 3 feet.
You change your mind and want the left edge of table to be 3 feet instead of 6 feet.
How many centimeters should the left edge of the table measure in your scale drawing now?

can someone help i have no idea what to write here-

Which table shows a proportional relationship between weight and price?
PLS HELP MEE!! I'LL MARK IF RIGHT!!

Find the area of 3/4 of the circle (radius = 6)

What is the slope of the line that goes through the points (6, 4) and (8, -2)?


-6

-3

-1/3

3

Thirty seventh graders each took a random sample of 10 middle school students and asked each student whether or not he likes pop music. Then, they calculated the proportion of students who like pop music for each sample. The dot plot below shows the distribution of the sample proportions.

Based on the dot plot, do you think the proportion of the middle school students at this school who like pop music is 0.5? Explain why or why not.
Question 1 options:

Please I’m so confused I need help

please help!!!!!!!!!!!!!!!!!

Answer this question please and thank you