Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.​

Answers

Answer 1

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (2a-x,y)[/tex]

The triangle after a reflection over x = -3. So, the rule of reflection is

[tex](x,y)\to (2(-3)-x,y)[/tex]

[tex](x,y)\to (-6-x,y)[/tex]

The vertices of triangle after reflection are

[tex]R(3,7)\to R'(-6-3,7)[/tex]

[tex]R(3,7)\to R'(-9,7)[/tex]

Similarly,

[tex]S(-5,-2)\to S'(-6-(-5),-2)[/tex]

[tex]S(-5,-2)\to S'(-6+5,-2)[/tex]

[tex]S(-5,-2)\to S'(-1,-2)[/tex]

And,

[tex]T(3,-5)\to T'(-6-3,-5)[/tex]

[tex]T(3,-5)\to T'(-9,-5)[/tex]

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

Graph Triangle RST With Vertices R(3, 7), S(-5, -2), And T(3, -5) And Its Image After A Reflection Over

Related Questions

identify the coefficeient following expression

6a+7​

Answers

Answer:

6

Step-by-step explanation:

The coeffecient is the number next to the variable. Boom. Done.

Answer:

6

Step-by-step explanation:

a coefficient is a number in front (behind) the variable (ex. the coefficient in 2x is 2, and the variable is x)

i hope this helps :)

The size of each exterior angle in a regular
polygon is 150
Work out how many sides the polygon has.

Answers

Answer: 12 sides

Step-by-step explanation: If each angle of a regular polygon measures 150°, then the polygon has 12 sides. hope this helps pls pls pls give me brainliest

What is the area of the shaded region?

Answers

(answer is 17,680.) 24*30=720 40*40=1600 720+1600=2320. 100*200=20,000. 20,00-2320=17,680.
Yes correct the answer is 17,680

a triangle has angles that measure 64 degrees and 55 degrees what is the measure of the third angle​

Answers

Answer:

61

Step-by-step explanation:

the angles of any triangle combined equal 180 therefore take the known angles and subtract them from 180 getting 61

What is the slope of a line of best fit if its equation is y = −2x + 3?

−2
Negative 1 over 2
1 over 3
3

Answers

Answer:

-2

Step-by-step explanation:

y=m(slope)x+b(y axis)

Two parallel lines are cut by a transversal. What is the measure of <8?
t
12
3/4 (100°)
р
5/6
78
A. 90
B. 80°
C. 100°
D. 180°

Answers

Answer:

C. 100°

Step-by-step explanation:

Line n || Line p and line t is their transversal.

Therefore,

[tex]m \angle 8 = 100 \degree \\ (corresponding \: \angle s)[/tex]

The measure of the angle ∠8 will be 100°. Then the correct option is C.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Two parallel lines are cut by a transversal.

Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.

The angle 4 and angle 5 are alternate angles.

∠5 = ∠4

∠5 = 100°

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

The angle 8 and angle 5 are vertically opposite angles.

∠8 = ∠5

∠8 = 100°

Thus, the measure of the angle ∠8 will be 100°.

Then the correct option is C.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ5

Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00. Which is the better deal?
Answer the questions to find out.


1. Will the better deal have a lower or higher ratio of dollars per bagel?

2. What fractions do you compare to find the better deal? How did you know to pick those?


3. Which store has the better deal, Bob's Bagels or Donny's Bagels? Explain how you know​

Answers

Answer:

3. Bob's Bagels is a better deal than Donny's Bagels because you get more bagels for less money at Bobs than Donnys. At Donnys Bagels you only get 4 bagels and you have to pay more. I hope that helps.

Step-by-step explanation:

Answer:

hes right

Step-by-step explanation:

What happens to a 44-degree angle if you rotate it 90 degrees counterclockwise? Explain your answer.

Answers

Answer:

it would melt

Step-by-step explanation:

at 40 degrees, the angle will stay in its natural shape. if increased to 90 degrees on the counter, and with the wisdom of mr. clock, the angle will start to warp, and lose its shape. evidently, if the angle is heated at a steady 90 degrees, the melting process will occur, and it will make a mess on your counter. thats why, when melting angles, I recommend putting it in a container, so as to not make too big of a mess.

Half of a pan of sheet cake is leftover . Helen , Vicky , and Tina are going to equally share it . What fraction of the original sheet cake will each person get ?

Answers

Answer: 1/6 of the total sheet cake

Step-by-step explanation: 1/2 divided by 3 = 1/6

Suppose that during a given week, 20 new customers have signed up for a specialized service your company provides. Eight of these new customers are automotive companies, and the remaining twelve are financial services firms. If a random sample of 5 of these new customers will be selected for a study of customer satisfaction in one month, what is the probability that 2 of the selected customers are financial services firms

Answers

Answer:

0.2384 = 23.84% probability that 2 of the selected customers are financial services firms

Step-by-step explanation:

The customers are chosen from a sample without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

20 new customers have signed up for a specialized service your company provides.

This means that [tex]N = 20[/tex]

Twelve are financial services firms.

This means that [tex]k = 12[/tex]

Sample of 5

This means that [tex]n = 5[/tex]

What is the probability that 2 of the selected customers are financial services firms

This is P(X = 2).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,5,12) = \frac{C_{12,2}*C_{8,3}}{C_{20,5}} = 0.2384[/tex]

0.2384 = 23.84% probability that 2 of the selected customers are financial services firms

Sasha went shopping and decided to purchase a set of bracelets for 25% off the regular price. If Sasha buys the bracelets today, she will save an additional 5%. Find the sales price of the set of bracelets with both discounts. How much money will Sasha save if she buys the bracelets today?​

Answers

Answer:

she will save 8 dollars

Step-by-step explanation:

bob

Emily has 437 pennies in a
piggy bank. Round the number
of pennies Emily has to the
nearest ten.

Answers

Answer:

437 to the nearest ten is 440, hope this helps

I aould appreciate if someone helped​

Answers

4/5 = 0.80
1/5 + 3/5 = 3/5 + 1/5

find the variable h+ 1/2 = 3 1/4

Answers

Answer:

h=2 3/4

Step-by-step explanation:

2 3/4+1/2=

you can convert 1/2 into 2/4 so they have like denominators

2 3/4+2/4= 2 5/4 which is also equal to 3 1/4

help w all please!!! i dont even know where to plot lol

Answers

a) -2
b) -1
c) -0,75; -4
d) 2

Chang knows one side of a triangle is 13 cm. Which set of two sides iS possible for the lengths of the other two sides of this
triangle?

7 cm and 2 cm

6 cm and 7 cm

5 cm and 8 cm

8 cm and 9 cm

Answers

8 cm and 9 cm because the two sides

The 20,000 seats available at Madison Square Garden for a popular concert sold out in just 12
minutes. If the tickets sold at a constant rate, how many tickets sold in 5 minutes (min)? Round
the answer to the nearest whole number.

Answers

Answer:

8333 tickets.

Step-by-step explanation:

If you take 20,000 and divide it by 12 you get 1666.66

You then take 1666.66 and times it by 5.

The answer you get is 8333.33 but the instructions say to round it to the nearest whole number which would be 8333. Hope this helps!!

50 POINTS IF YOU HELP ME!!!!!! A study of college business majors included 150 sophomores and 200 juniors. The study showed that 80 sophomores and 150 juniors had summer internships. One person from the study is selected at random. What is the probability that the person is a sophomore given that the person had a summer internship? A. 8 23 3 B. C. 8 15 23 D. 35​

Answers

Answer:

= 0.3478  

Step-by-step explanation:

Given:-

- The number of sophomore, S = 150

- The sophomore and had summer internship, x = 80

- The number of juniors, J = 200

- The junior and had summer internship, y = 150

Find:-

What is the probability that the person is a sophomore given that the person had a summer internship?

Solution:-

- The total sum of sophomore and junior students is N:

                        N = S + J

                        N = 150 + 200

                        N = 350 students.

- We will denote event A as random selection of sophomore from total.

- We will denote event B as random selection of student who had summer internship.

- We are to determine the conditional probability that a person selected is sophomore given that the person had a summer internship. That is the probability of event A given that event B has already occured.

- The conditional probability can be written as:

                       P ( A / B ) = P ( A & B ) / P ( B )

Where,

       P ( A & B ) : The probability the person is a sophomore and had a summer internship.

       P ( B ): The probability that the person selected had a summer internship.

                     P ( A & B ) = x / N

                                       = 80 / 350

                                       = 0.22857143

                    P ( B ) = ( x + y ) / N

                              = ( 80 + 150 ) / 350 = 230/350

                              = 0.65714286

Therefore the required probability is:

         

                    P ( A / B ) = 0.22857143 / 0.65714286

                                     = 0.3478  ... Answer

the answer to your question is = 0.3478  

Match the vocabulary word with the correct definition. 1. axis of rotation a line around which a two-dimensional shape is rotated or revolved to create a three-dimensional shape 2. cross section the two-dimensional shape that results from cutting a three-dimensional shape with a plane 3. solid of revolution the three-dimensional shape that is produced when a two-dimensional shape is rotated or revolved around a line

Answers

Answer:

See step by step explanation

Step-by-step explanation:

Matching the vocabulary word with the correct definition, we get;

1. Axis of Rotation: a line around which a two-dimensional shape is rotated or revolved to create a three-dimensional shape.

It is a straight line through a rigid body when all its part are in rotation.

2. Cross section: the two-dimensional shape that results from cutting a three-dimensional shape with a plane. It is a internal view of an object that is made by cutting through it.

3. Solid of Revolution: the three-dimensional shape that is produced when a two-dimensional shape is rotated or revolved around a line. In mathematics, it is a solid shape that is obtained by revolving a curve around an axis.

Which shows the correct way to combine like terms for the expression below?
5x + 4 - 2 + 4x

9x + 2
9x + 6
x - 2
x + 2

Answers

Answer:

9x+2

Step-by-step explanation:

Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.

Answers

Answer:

20=1.50(6)+2.00(4)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

What value of x satisfies the equation?
2(5x - 20) - (15 + 8x) = 7

Answers

Answer:

x=31

Step-by-step explanation:

10x -40 -15-8x=7

2x - 40 -15 =7

2x -55 =7

2x-55+55 = 7 + 55

2x=62

2x/2=62/2

x=31

Step-by-step explanation:

10x-40-15+8x=7

2x-55=7

2x=7+55

2x=62

X=31

-4x=24
solve da equation

Answers

X=-6 jruewkdkdojdkddifk

Answer:

You have -4x=24.

well if you divide -4 and 24 you will get -1.6

Step-by-step explanation:

What is the Pythagorean triple generator and how does it work?​

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem states that

[tex]a^2+b^2=c^2[/tex]

or that the two legs added together squared equal the hypotenuse squared

not: this only works with right triangles

Now Pythagorean triples are the set of sides that follow that rule

an example would be 3,4,5

why is it a Pythagorean triple?

well because it follows

[tex]a^2+b^2=c^2[/tex]

[tex]3^2=9\\4^2=16\\16+9=25\\5^2=25[/tex]

25=25

Choose the sentence that does not have any errors in spelling or punctuation.
Someone who sells tickets is always in the ticket wagon, which is stationary in spite of its wheels.

Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.

Someone, who sells tickets, is always in the ticket wagon which is stationary in spite of its wheels.

Someone, who sells tickets, is always in the ticket wagon which is stationery in spite of its wheels.

Answers

answer: someone who sells tickets is always in the ticket wagon, which is stationary in spite of its wheels.

this one makes the most sense :)

Answer: Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.

Step-by-step explanation: Do usage of the comma in answers C , and D are incorrect , so that leaves us with answers A and B , in option A stationery is miss spelled so your answer would be : Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.

Need answer this urgent and fast

Answers

Answer:

56

Step-by-step explanation:

Hey There!

so this is a parallelogram so opposite angles are congruent

So basically what i am saying is that angle P is congruent to angle R

So we need to solve for x

We know that angle P and angle Q are supplements meaning that they will add up to 180

so we setup the equation

[tex]180=3x+5+8x-12\\[/tex]

step 1 combine like terms

[tex]3x+8x=11x\\5-12=-7[/tex]

now we have

180=11x-7

step 2 add 7 to each side

180+7=187

-7+7 cancels out

now we have

187=11x

step 2 divide each side by 11

187/11=17

x=17

now we plug in 17 to (3x+5) to get the value of angle R

17x3=51

51+5=56

therefore m∠R = 56

Will Give Brainleist! Plz help me on this problem

Which equation represents a line with slope 3/5 of and y-intercept of -1 ?

Answers

Answer:

y = 3/5x - 1

i think that's what's supposed to be there...

simplify 45÷3+2×8-12+43​

Answers

Answer:

62

Step-by-step explanation:

divide, then multiply, then calculate the sum or difference and you should get 62

Answer:

Many ways

Step-by-step explanation:

One of them being:

1. 15 + 16 -12 +43

Answer is 62 if wondering

(Brainliet?)

First, divide 45 by 3 which is 15

Then, multiply 2 and 8 which is 16

Add 15 and 16 which is 31

Subtract 12 and get 19

Add 43 adn get 62

What is 3r-2 ?? Algebra is not my strong suit

Answers

if you trying to make r the subject then it would be

3r-2=0

3r=2 (added to both sides)

3r= 2/3

r=2/3 which is 0.6667 as a decimal

Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5 years?

Answers

Answer:

$42,000

Step-by-step explanation:

60,000 × .14 × 5 = 42,000

Other Questions
Calcule as expresses: a) - 10 - ( - 7 + 4 - 6 ) b) - 14 - ( 7 - 6 ) + ( 8 - 5 ) c) 10 - { - 2 + [ 1 + ( + 4 ) - 8 ] } d) 25 + [ - 4 + 1 - ( - 3 + 7 ) ] e) 21 + [ - 17 + ( 19 - 4 ) + 12 ] A 4-kg car moving with a speed of 2 m/s starts up a hill. How high does the car roll before it stops. a2.0 m b1.5 m c4.0 m d.4 m Select the statements that are tru about the role light plays inthis system model.The half of Earth and the half of the Moon that face the Sun are lit.Half of the Earth is always it, but the amount of Moon lit changes throughout the month.Both the Sun and Moon are light sources in this systemThe Moon shines as a result of light reflected from the Sun, Who was Antonio Lopez de Santa Anna PLEASE HELP ME WILL GIVE BRAINLISTTTTTTTTTTTTTTTTTTTTTTTTT Answer this question to get marked as brainliest!!!!! what is 11 divided by 5 porque es importante desinfectar los objetos con alcohol? I need help with this spanish Which of these descriptions best defines the solar system?A. planets and asteroidsB. the sun and all planetsC. planets and their moonsD. the sun and all bodies that travel around it PIU.Which definition of economics is the most acceptable and why? Explain.the I need help ASAP plz Explain the rise of fascism in Germany and Italy and communism in Russia. What service was started by the creation of Rural Free Delivery?O A. The steamshipsO B. Home mail serviceO C. The railroadsO D. The InternetA p e x Which of the following contains a verb in the future progressive form? AThe fex was hiding behind the barn, waiting for a chance to attack BHousing prices have been slowly increasing over the last months.C This class has been studying French for two years now DThis time next year. I will be visiting Yellowstone. I NEED HELP ASAP HELP ME WILL MARK BRAINLIST why knowing parentage is important. How could this knowledge help wild populations of endangered species? How could it also help with zoo populations?PLEASE ANSWERR tysm IM DOING A TEST I NEED HELP LIKE NOW The diameter of a wheel for a car is 18 inches. What distance does the car travel when the tire makes one complete turn? Use 3.14 for LaTeX: \pi. Was the impact of U.S Manifest Destiny more beneficial or harmful? Why do you think a poet might write a lyric poem? math problem graphing pls help ill give u brainiest