WWhat is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6

Answers

Answer 1

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

Given

[tex]A =(6,3.7)[/tex]

[tex]B = (5.4,2)[/tex]

[tex]C = (1,3)[/tex]

[tex]A' = (3.7, 6)[/tex]

[tex]B' = (2, 5.4)[/tex]

[tex]C' = (3, 1)[/tex]

Required

The equation for the line of reflection

Taking points A and A' as a point of reference:

[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]

First, calculate the midpoint (M)

[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]

[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]

[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]

[tex]M = (4.85, 4.85)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]

[tex]m = \frac{2.3}{-2.3}[/tex]

[tex]m = -1[/tex]

The midpoint of a reflection is always perpendicular to the points being reflected.

So, the slope of [tex]M = (4.85, 4.85)[/tex] is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{-1}[/tex]

[tex]m_2 = 1[/tex]

The equation is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (4.85,4.85)[/tex]

[tex]y = 1(x - 4.85) + 4.85[/tex]

[tex]y = x - 4.85 + 4.85[/tex]

[tex]y = x[/tex]

Hence, the equation of line of reflection is:

[tex]y = x[/tex]

Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

ko[[[[[[[[[[[[[[[[[[i

Answers

Answer:

70, 000 grams

Step-by-step explanation:

first convert grams to kilograms

there are 1,000 grams in a kilogram so multiply the 200 kg by 1,000

so

200 * 1000 = 200,000

200,000 grams of vegetables is what he started with

then you have to multiply that by the 35% that he sold

so

200,000 * 35% = 70,000

he sold 70,000 grams of vegetables by noon

Please help with this question:
Tell whether a triangle can have the sides with the given lengths 12, 13, and 24

Answers

Answer:

yes

Step-by-step explanation:

as long as the two shortest sides add up to more than the longest side then a triangle can be made with those side lengths

20 POINTS ANSWER FAST

If two fractions are proportional, then the cross products are equal.

true or false?

Answers

Answer

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

u cannot cross multiply when ur adding

if candy bars are 6 for $2.58 , how much is one candy bar?

Answers

Answer:

divide it to get your answer

Step-by-step explanation:

Answer:

0.43

Step-by-step explanation:

First, divide $2.58 by 6. It looks like this $2.58/3.

Then you end up with 0.43 cents.

Good Luck!

2/3x-3=19. Help? solve X

Answers

Answer:

x=33

Step-by-step explanation:

Answer: x=33

Step-by-step explanation:

2/3x-3=19

     +3  +3

2/3x=22

Divide by 2/3 on each side

x=33

Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

Answers

Answer:

frrffrwfr

Step-by-step explanation:

An arithmetic sequence is represented by the function f(n) = 5 + 2(n-1). What is the first term of the sequence?

Answers

Answer:

n1

Step-by-step explanation:

Please help.
Algebra.

Answers

Answer:  m= -1/2

Step-by-step explanation:

Hope the gif loads to help you but if not thats the answer.

jordan invested $1,000 ina savings account. The interest rate is 6% per year. Find the simple interest earned in 4 years. Then find the total of principal plus interest.​

Answers

Answer:

sorrry man dk

Step-by-step explanation:

An architect's model for a building is 1.4 m long and 0.8 m wide. The actual building is 240 m wide. What is the length of the building

Answers

Answer:

214.285714286 m

Step-by-step explanation:

240/1.4

240/1.4/0.8

Answer:

Step-by-step explanation: I think its 298.25 i'm not sure wait for other people to give you answers

how is everyonesss dayyy- is anyone else on spring break?

Answers

Answer:

my day is good so far......I will be going on spring break but I would still have a lot of school work to do so I dont know if I'll enjoy it:(((((((

how's your day? :)))))))))))

Answer:

no, sometime late april tho

Step-by-step explanation:

WILL GIVE BRAINLIEST! Form quadratic functions given the following information: f(x)>0 if and only if 1

Answers

Answer:

Step-by-step explanation:

sin (330)

-4 cot

(-45)

csc (60)

Answer:

f(x) = -2(x-3)^2+8

Step-by-step explanation:

Using vertex form: f(x)= a(x-h)^2 +k

if the maximum is 8 then k=8

h = 3 --> the midpoint of 1 and 5

Fill in the equation:

f(x) = a(x-3)^2 +8

Using f(1) = 0 to figure out a:

0 = a(1-3)^2+8

4a =-8

a = -2

Our final equation would be[tex]f(x)=-2(x-3)^2+8[/tex]

In standard form:  [tex]f(x)=-2x+12x-10[/tex]

find the length of the longest side in XYZ and find the perimeter . show work and don’t use me for points please

Answers

Answer:

Step-by-step explanation:

To find the perimeter of Δ XYZ when its longest side is 20, you can set up proportions to find the lengths of the sides, since the sides of similar triangles

Answer:

XZ = 6

Perimeter = 18

Step-by-step explanation:

8/4 = 12/XZ

8XZ = 48

XZ = 6

XY = 8

Perimeter = 18

(The two triangles are not to scale. The one on the right is drawn twice the size of the one on the left but actually is just half it's size.)

Also, the order of the letters in the congruency statement (triangle ABC is congruent to triangle XYZ) is important. If they had stated that triangle ABC is congruent to triangle ZYX, the relationship would not be 4/8 but 4/16. This would have resulted in entirely different answers. Instead of triangle XYZ being 1/2 the size of ABC, it would have been 1/4 it's size.

What is the area of this parallelogram?

A. 28 m²

B. 56 m²

C. 84 m²

D. 120 m²



PLS HELP I'LL GIVE BRAINLYIST

Answers

Answer:

84m^2 or C

Step-by-step explanation:

area = base * height

= 12 * 7 = 84

Answer:

8 + 4 = 12 x 7 = 84m

Analyze the diagram below and complete the instructions that follow.

Find the value of x.

Answers

Answer: I believe the answer is C.

Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.

pls help ill give brainliest to the person WHO GETS IT RIGHT

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

the answer is the last option. p <_ 48

-7+n/5=-11
Solve it down here

Answers

Answer:

n = -20

Step-by-step explanation:

-7 + [tex]\frac{n}{5}[/tex] = -11

*multiply both sides by 5*

-35 + n = -55

*add 35 to each side*

n = -55 + 35

*calculate the sum*

n = -20

WILL MARK BRAINLIST!!! Sarah spends 1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. Then she spends twice as long waxing the car as she does washing the car. What is the total amount of time Sarah spends vacuuming, washing, and waxing her mom's car?
A. 1 1/6 hr
B. 1 1/3 hr
C. 2 1/6 hr
D. 2 5/6 hr

Answers

Answer:

C.

Step-by-step explanation:

1/6 + 4/6 + 8/6 = 13/6 = 2 1/6

If two cylinders are similar and the ratio between the altitude lengths is 2:3,
what is the ratio of their volumes?
A. 16:27
B. 1:3
C. 8:27
D. 4:9

Answers

Answer:

8:27

Step-by-step explanation:

on ape x

The ratio of their volumes is 8:27.

We have given that,

If two cylinders are similar and the ratio between the altitude lengths is 2:3.

We have to determine the ratio of their volumes.

What are the volumes?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Therefore the ratio of their volume is 8:27

To learn more about the volumes visit:

https://brainly.com/question/463363

#SPJ2

Prove that √3 is irrational.

Answers

Answer:

it is irrational because the square root is a series numbers whereas a rational number can be expressed as a fraction (recurring and terminating decimals) but irrational numbers can't be expressed as a fraction

this number is not rational

Assessment started: undefined.
Item 1
Which situation does this equation model?

12 × 6 = n


Maria completed 12 cartwheels. This is 6 more cartwheels than James completed. James completed n cartwheels.

Sarah's dog weighs 12 pounds. Jordan's dog weighs 6 times as much as Sarah's dog. Jordan's dog weighs n pounds.

Jada swam 12 laps in the pool. This is 6 times as many laps as Juan swam. Juan swam n laps.

Kiki collected 12 seashells on the beach. Min collected 6 more seashells than Kiki collected. Min collected n seashells.

Answers

The 3rd One. 12(jadas laps)*6(Juans laps). =n(72)

What would x be 3(x-5)=12

Answers

Answer:

x=9

Have a beautiful day!

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice"?

Answer: x=9

Step-by-step explan

PLEASE HELP MEEEE
Which of the following equations will produce the graph shown below?

Answers

Answer:

A. 6x^{2}+6y^{2}=144

Step-by-step explanation:

1. What type of association does this
graph have?
A:positive
B:negative
C:none
D:all of the above

Answers

Answer:

C

Step-by-step explanation:

The graph have negative type of association.  the variables tend to increase as the other variable decreases.

What is the association of a graph?A positive association exists when one variable increases as the other variable increases. A negative association exists when one variable increases while the other variable decreases. If there is no relationship between the variables, the scatterplot points have no association.The association is linear when a straight line describes the relationship between the variables. The relationship is monotonic when it is described by a nonlinear function that is constantly increasing or decreasing. Other types of relationships could be nonlinear or non-monotonic.The appropriate statistical measures and tests of association are determined by the type of relationship.A bivariate normal density ellipse summarises the correlation between variables if the relationship is linear. The greater the correlation between the variables, the narrower the ellipse.

To learn more about graph association  refer :

https://brainly.com/question/11420537

#SPJ2

The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length
of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?

Answers

Answer:

The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length

of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?

Step-by-step explanation:

The volume of a triangular pyramid is 24 cubic inches. The base is a right triangle with a length

of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?

Fill in the blank with the correct word(s) to complete the sentence.


A net is a two-dimensional ______ of a three-dimensional figure.


A.
pattern


B.
length


C.
congruent


D.
height

THE FIRST PERSON TO ANSWER GETS ANOTHER BRAINLEST CHECK MY ACCOUNT IF YOU DONT TRUST ME BECAUSE I HAVE A BRAINLEST TO GIVE OUT TO THE FIRST PERSON WHO ANSWERS FIRST GOOD LUCK ;)))))

Answers

Answer:

pattern

Step-by-step explanation:

.............................................

How many real cube roots does -343 have?

Answers

Answer and Step-by-step explanation:

The cubed root of -343 has ONE real roots.

That root is -7.

When you multiply -7 by itself 3 times, you get -343.

-7 times -7 = 49

49 times -7 = -343.

#teamtrees #WAP (Water And Plant)

Ill give brainliest to the person who gets it right!!!!!!!

Answers

I think it’s a if not a then maybe b
It would be A. Because the line should point through 70-90 and the 70 should have a black line so the correct answer would be A. :)

I need help with this question

Answers

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

Actually Welcome to the Concept of the indices,

[tex] \frac{ {2}^{6} }{ {2}^{4} } \times {2}^{5} [/tex]

===>

[tex] {2}^{6 - 4} \times {2}^{5} [/tex]

===>

[tex] {2}^{2} \times {2}^{5} [/tex]

===>

[tex] {2}^{5 + 2} [/tex]

===>

[tex] {2}^{7} [/tex]

hence the answer is

[tex] {2}^{7} [/tex]

Answer:

2^7

Step-by-step explanation:

2^6/2^4)*2^5=128

2^7=128

A store manager earns
$
24.00
per hour. If the manager works
8
hours one day and donates
1
10
of the day’s earnings to charity, how much of the earnings are left?


Answers

Answer:

165.6=x

Step-by-step explanation:

(24.00*8)0.90=x

184.00*0.90=x

165.6=x

2.7. 8=24.

24/8= 3

3/10= 0.3

3 -0.3 =$2.7
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