PLEASE I REALLY NEED HELP


Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a math classroom. If the vertices of a science classroom are located at (-3x¹,y¹). (-3x²,y²), (-3x³, y³), and (-3x⁴, y⁴), will the science classroom be congruent to the math classroom?​

PLEASE I REALLY NEED HELP Plans For A New School Call For Classrooms Directly Across The Hall From Each

Answers

Answer 1

The lengths of the horizontal sides of the science class is larger than the

length of the horizontal side of the math class.

The correct option is; No, the the transformation applied was not a rigid motion.

Reasons:

The given vertices of the science classroom are;

(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)

The coordinates of the vertices math classroom are;

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)

Whereby x₁ = x₄, we have;

Length of the vertical side of the rectangular math class = y₁ - y₄

Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁

Similarly;

The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)

Therefore;

[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]

The length of a side of the science is three times the length of the side of

the math class, which gives that the dimensions of the science class are not

the same as the the dimensions of the math class.

Therefore;

The science class and the math class are not congruent

The the correct option is, no the transformation that gives the science class from the math class is not a rigid transformation.

Learn more about non-rigid transformation here:

https://brainly.com/question/2396426


Related Questions

Factor the common factor out of each expression: 30+6k+18k^5

Answers

Dhfjjrdjxbcu sixhxbeishfnd sixhcucfudd isuxcyudkendf sodhxcufbrbd

Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.

Answers

Answer:

2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer

Answer:

339

Step-by-step explanation:

a = 567 (.95)¹⁰

a = 339.4838445482

Rounded

339

Find the area of the shape below. GUS PLEASE HEL​

Answers

Answer:

122 squared cm

Step-by-step explanation:

[tex]6*12=72[/tex]

[tex]10*5=50[/tex]

[tex]72+50=122[/tex]

Hope this helps

Answer:

122 squared cm

Step-by-step explanation:

First we split the figure into 2

12 x 6

And,

10 x 5

12 x 6 = 72

and

10 x 5 = 50

Now we add 72 + 50 = 122

Does this graph represent a function? Why or why not?

Answers

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

please answer quickly easy 10 points but please answer quick

Answers

Answer:

He traveled 520 miles

Step-by-step explanation:

8 x 65 = 520

Answer: 520 miles

Step-by-step explanation:

Data: Juan drove 8 hours

Drove at an average Speed of 65 mph

Miles driven=x

Only step: Multiply 65 by 8 which is 520

Explanation: Since Juan drove at an average speed of 65 miles per hour, that means he drove 65 mile for every hour he drove. So since he drove for 8 hours, you multiply 8 hours by 65 miles so that you get get the total amount of hours driven by him.

Don't forget to add "Miles" to the end of your answer because most math teachers tend to want that in an answer like this.

I hope this helps(Mark brainiest if you want to, thanks)

find the height x of the tree

Answers

i think either might be a or b

Answer:

19.8 m

Step-by-step explanation:

To find the height of the tree, we can use the trig ratio tangent:

θ = angle, h = height

tan θ [tex]= \frac{opposite}{adjacent}[/tex]

tan 33° = h / 30.5

h = (tan 33°)(30.5)

h = (0.6494)(30.5)

h = 19.8 m

please help guys its urgent

Answers

upen saves the most of his salary every month

Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]

[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

Someone please help me ASAP!

Answers

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

work out 2/7 divided 7/8

Answers

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1

Answers

Step-by-step explanation:

everything can be found in the picture

Length of radius r ?

Answers

Answer: 10

We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.

Answer:

The answer would be 10.

Step-by-step explanation:

We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.

Simplify each of the following by rationalizing the denominator.
please do answer my doubt

Answers

Answer:

(47+21√5)/2

Step-by-step explanation:

Given the expression

7+3√5/7-3√5

= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)

= 49+21√5+21√5+9(5)/[7(7)-9(5)]

= 49+42√5+45/49-45

= 94+42√5/4

= 2(47+21√5)/4

=(47+21√5)/2

Hence the required expression is (47+21√5)/2

Solve for y.

-24 = -8y

Simply your answer as much as possible.

Answers

Answer:

Y=3

Step-by-step explanation:

-8 times 3 equals -24

Answer:

y = -3

Step-by-step explanation:

-24 = 8y

Divide both side by 8

-24/8 = 8y/8

-24/8 = y

divide -24 by 8 to get -3

-3 = y

rewrite ..( optional )

y = -3

Which of the following is the function f(x) if f^-1(x) = 5x - 19?

A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19

Answers

Answer:

number of A is correct answer

Which of the quotients are equivalent to -(48/17)

Answers

Answer:

oiie4546

Step-by-step explanation:

A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.

Answers

Answer:

672 feets

Step-by-step explanation:

Using the solution diagram attached, the vertical height, h of the lighthouse ;

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 2 = h / 804

h = tan 2 * 804

h = 28.076 feets

Using h, we can obtain the distance CB :

Tan θ = opposite / Adjacent

Tan 2 = 28.076 / CB

CB = 28.076 / Tan 12°

CB = 132.08860 feets

Distance between A and B

804 - 132.08860

= 671.9 feets

the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length​

Answers

Considering the volume of a cube is length × breath × height, we are going to have to use an equation to find the length.

V = l × b × h

480cm³ = L × 8 × 6

Make L the subject.

480 = L × 8 × 6
⁴⁸⁰/₈×₆ = L
10cm = L

Therefore length = 10cm

PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR

Answers

The answer is ∠S …..

What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?

Answers

Hi! 1/2 + 1/3 is 5/6.

2 + 3 = 5
2 X 3 = 6

= 5/6

I hope this helped if I can help in anyway I would be happy to help you. Goodluck :)

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

Answer:

[tex]Mean = \frac{4x + 5}{3}[/tex]

Step-by-step explanation:

Given:

Dan sold = x

Harry sold 5 more than Dan, that is = x + 5

Regan sold twice as Dan = 2x

[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

B:

C:

D:

Answers

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2

Answers

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

A car was bought for D750,000 and was sold for D775,000 calculate the percentage profit ​

Answers

10% hope this helped

David participating in a 6-day cross-country biking challenge. He biked for 65, 56, 57, 58 , and 67 miles on the first five days. How many miles does he need to bike the last day so that his average (miles) per day ?

Answers

Answer:

Hi

Step-by-step explanation:

Please like I am noob I neeed brainliest

Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x


someone help por favor​

Answers

your answer would be x>7 or B :)

Answer:

2x+6>20

2x>20-6

2x/2>14/2

x>7

So your answer would be B

Please help quadratic equation!! 20 points

Answers

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

(x-4)(x+2)=0

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

the value of each square root

Answers

Answer:

root 324=18

root 441=21

root 529=23

Step-by-step explanation:

root 324 = 18

root 441 = 21

root 524 = 23

The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.

Answers

The answer is 14 , 14 student made 80 or better on test 4

Answer:

The answer is 14.

Step-by-step explanation:

All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.

6x-27=-3x

solve for x:D

Answers

Answer:

6×-27=-3×

+3×

9/9×=27/9

×=3

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