Question 2 (10 points) (02.05 MC) 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: From R:(c, d), draw line segment RA perpendicular to the x-axis. Let O denote the origin (0,0).

area ΔPQR = area trapezoid OPRA- area ΔQAR - area ΔOPQ

=

2

1

c(a+d) -

2

1

d(c−b)-

2

1

ab=

2

1

(ac+bd−ab).

If c area ΔPQR = area trapezoid OPRA + area Δ QAR - areaΔOPQ=

2

1

c(a+d)

2

1

d(b−c)−

2

1

ab=

2

1

(ac+bd−ab).

Step-by-step explanation: done


Related Questions


Need help like ASAP

Answers

It is X=2 you have to see where it touched line

A segment has endpoints A (-1, 1) and B (8, 4) .
If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____?

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Answer:

fafafsghdjdbdbdgsysvdve. wwmsk

Please help me with this!
I will give you a thanks!

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-2 + 6
.................
-2+6 . Count the spaces . That’s what I used to do

The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x? If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z

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Answer:

The equation x + y = z relates the whole numbers.

Hopefully, this helps! :D

Ask your question below!

Hey, I just need to know if I was correct with my test.

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Statistics,

If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175

so for 1 hour, he gets = 175÷20 => $8.75 per hour

, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,

$8.75 + $1.05 (per hour)= $9.80

so now his total pay is given as,

E= 9.80h

Option D.) is correct

At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?

Answers

Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

Help me find this answer please (honest and most best answers only)

Answers

The baby whale would be 35 years old.

[tex]7*10^3[/tex] in standard notation is 7000

To find the whales age, you must divide 7000 by 200, which is 35.

To determine whether price has an impact on sales of specialty coffees, the managers kept track of how many pounds of each variety of coffee were sold last month.

PRICE PER POUND POUNDS SOLD
Mean $8.75 4.50 lb
Standard Deviation $3.63 18.33 lb
Correlation r -.927

a. The response variable is__________ and the explanatory variable is_________
b. Based on the statistics shown above, the slope of the estimated regression line that relates the response variable to the predictor variable is:______

i. 0.846.
ii. -4.681
ii. -0.858.
iv. 45.459
v. -8.999.

Answers

Answer:

A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. ii. -4.681

Step-by-step explanation:

A. Based on the statistics that was shown in the given information above the:

Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable

Using this formula

Slope =r*Sy/Sx

Let plug in the formula

Slope=-0.927*18.33/3.63

Slope=-16.99191/3.63

Slope=-4.681

Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681

Solving the for angle NMP. *

Answers

Answer:

50°

Step-by-step explanation:

Angle NMP is an angle that has its vertex on a point along the circumference of the circle, thus, angle NMP is referred to as an inscribed angle of the circle.

The measure of an inscribed angle is equal to half of the measure of the arc it intercepts.

Therefore, the following equation shows the relationship between inscribed angle NMP and arc NP:

m<NMP = ½ × measure of arc NP

m<NMP = ½*100

m<NMP = 50°

How many 2/3 cup servings are in 28/3 cups of yogurt

Answers

The answer fam is..... 14

A school has 726 students. There are 340 boys. About what percent of the students are girls?

Answers

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)

Answers

Use the quotient rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]

Match the numbers with the correct label

Answers

Answer:

a= -3/7

b= -0.2

c = -2/8

Step-by-step explanation:

Answer:

-3/7

-2/8

-0.2

Step-by-step explanation:

i did it on khan

What is a factor of 12

Answers

Answer:

2 x 3 (prime number, 2 distinct)

Step-by-step explanation:

someone please help me from 6 to 9 please

Answers

Answer:

For 6.) y=-2x+1; 9.) y=-7/3x-5

Step-by-step explanation:

Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).

simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920

Answers

1. how do i simplify them like in fractions?

Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 − p2q3, (2, 1), v = i + 3j

Answers

Answer:

-4√10 / 5 or -8√10 / 5

Step-by-step explanation:

See attachment for calculation

I need help with question 11 pleaseeeeeee

Answers

The base of the prism is a 3:4:5 right triangle.
One of the legs is its base and the other is its height. (The longest side is the hypotenuse!)

The area of the triangular base is bh/2 = (9)(12) / 2. There are two of these.
There are also three rectangular sides on the prism.
Their dimensions are 9 by 20, 12 by 20, and 15 by 20.

You can do the arithmetic from here.
And the answer is 828cm ^2

Answer:

828 cubic units

Step-by-step explanation:

Which statements about opposites are true? (Select all that are correct)

Answers

You need to show a picture

Evaluate 9sigma n=5 3n+2

Answers

Answer:

17

Step-by-step explanation:

make me as brienliest

Barry used a number line to simplify a numerical expression on a math test.
Which number did Barry add to get a result of 4 on the numerical expression he simplified?
A: 4
B:-14
C:-6
D:14

Answers

Answer:

i think its 14 if the number starts all the way at -10 youd have to add 14 to get to four

4x+2 = 2(2x+1) what is the answer?

Answers

Answer: 0=0

Step-by-step explanation: Simplify

Identify the terms, coefficients, and constants in the expression.
7h + 3
I need help now!!!!!

Answers

Step-by-step explanation:

7 is the coeffiecient

3 is the constant

Suppose that a sample of n students at the same university​ (instead of n​) determines that ​% of the sample use the web browser. At the level of​ significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of ​%?

Answers

Complete Question

The worldwide market share for a web browser was 20.5​% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.

At the 0.05 level of​ significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5​%?

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of  20.5 ​%?

Step-by-step explanation:

From the question we are told that

          The population proportion is  [tex]p = 0.205[/tex]

          The sample size is  n  =  200

          The number that uses the browser is  k =  50

          The level of significance is  [tex]\alpha = 0.05[/tex]

         

Generally the sample proportion is mathematically represented as

       [tex]\^ p = \frac{50}{200}[/tex]

=>    [tex]\^ p = 0.250[/tex]

The null hypothesis is  [tex]H_o : p = 0.205[/tex]

The  alternative hypothesis  is  [tex]H_a : p > 0.205[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]

=>       [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]

=>       [tex]z = 1.5764[/tex]

Generally the area under  [tex]z = 1.5764[/tex]  to the right is  

     [tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]

From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence

 The decision rule is

Fail to reject the null hypothesis

   The conclusion is

There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 ​%?

a certain bike travels 135 feet in 20 rotations of its wheels. how far will the bike travel in 45 rotations

Answers

Answer:

303.75

Step-by-step explanation:

135/20=6.75

6.75•45= 303.75

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought five notebooks and five thumb drives for $110. Lisa bought three notebooks and five thumb drives for $102. Find the cost of each notebook and each thumb drive.

Answers

Answer:

Notebooks cost $4

Thumb drives cost $18

Step-by-step explanation:

x=$ for notebooks

y=$ for thumb drives

5x + 5y = 110 ----> for Troy

3x + 5y = 102 ----> for Lisa

Use subtraction to find x.

(5x + 5y = 110)

-(3x + 5y = 102)

_____________

2x + 0y = 8

2x = 8

x=4

Sub 4 for x into 5x + 5y = 110

20 + 5y = 110

-20 -20

___________

5y = 90

y=18

Notebooks cost $4

Thumb drives cost $18

Help I’m stuck and confused

Answers

Answer:

-8

Step-by-step explanation:

A triangle is always 180 degrees

(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)

65 + 40 = 105

180 - 105 = 75

75 - 83 = -8

Answer:

the angle itself is 75 degrees so x=-8

Step-by-step explanation:

Order 51.835, 51.836, 51.736, and 51.837 in decreasing order.

Answers

Answer:

D.)51.837, B.)51.836, A.)51.835, C.)51.736

Step-by-step explanation:

its decreasing in this order

Answer:

51.837 > 51.836 > 51.835 > 51.736

Suppose two trains leave a station at the same​ time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 3.5 ​hours, the trains are 336 miles apart. Find the speed of each train.

Answers

Answer:

B

Step-by-step explanation:

Train B is faster

please help I will give a lot of points


btw its 2 questions​

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ummmmmmm.. wait ima come back to it let me work it it

Answer:

please wait two mins I will give you the answer, but which question 2 or 3

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