Mathematics College

SKETCHPAD
Question 5
Given AABC shown on the coordinate plane below.
AA"B"C" = Ro (T(-4,3)(ABC))
90°
Draw AA'B'C'' if
You may use different colors for the separate transformations. Indicate your final
answer. Feel free to use the Dynamic Geometry Tool to complete the
transformations.

Answers

Answer 1

The attached figure represents the image of A"B"C" after the transformation

How to transform the triangle?

The transformation rule is given as:

A"B"C" = Ro90° (T(-4,3)(ABC))

This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle

From the figure, the coordinates of ABC are

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The rule of 90 degrees clockwise rotation is

(x,y) ⇒ (y,-x)

So, we have

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

The translation of the triangle by T(-4,3) is

(x,y) ⇒ (x - 4, y + 3)

So, we have

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

See attachment for the image of the transformation

Related Questions

A decreased by 20% and then increased by 20% express using algebra
asapppppp

Answers

Answer:

96%

Step-by-step explanation:

assume the whole number is x

the first thing is decreasing by 20 %

x - 20%x = 80% x

then now the 80%x is the whole number

now It's the turn of increasing

80%x + 20% * (80% x) = 80%x + 16%x = 96% x

I hope this is hlepful to you !!!!

Feel free to ask me in the comments

ratio of 12 seconds to 1 hour

Answers

12:3600

1:300

I edited it lol

hope that helps

Traveling Salesperson Suppose you are a salesperson who must visit the following 23 cities: Dallas, Tampa, Orlando, Fairbanks, Seattle, Detroit, Chicago, Houston, Arlington, Grand Rapids, Urbana, San Diego, Aspen, Little Rock, Tuscaloosa, Honolulu, New York, Ithaca, Charlottesville, Lynchville, Raleigh, Anchorage, and Los Angeles. Leave all your answers in factorial form.

a. How many possible itineraries are there that visit each city exactly once?

b. Repeat part (a) in the event that the first five stops have already been determined.

c. Repeat part (a) in the event that your itinerary must include the sequence Anchorage, Fairbanks, Seattle, Chicago, and Detroit, in that order.

Answers

Answer:

1. 23!

2. 18!

3. 19!

Step-by-step explanation:

We start by the order that we were given. Dallas is the first City with los Angeles being the last.. a total of 23 states.

Dallas can be placed in any of the 23 positions.

Tampa can be placed in any of the remaining 22 positions and so on.

Such that we have

Total number of ways = 23x22x21...x1 ways

= 23!

2. If first 5 cities have been determined,

23-5 = 18 cities

We can arrange in (23-5)! Ways

= 18!

3. We consider these 5 cities to be 1 unit, so we have to arrange the remaining 18 cities plus this single unit.

Total number of ways = (18+1)!

= 19!

Ali spent a total of $65 at the grocery store. Of this amount, he spent $39 on fruit. What percentage of the total did he spend on fruit?

Answers

Answer:

He spent 60% on fruit

Step-by-step explanation:

Answer:

Step-by-step explanation:

65-39=26

26/100=0.26

PLEASE ANSWER WILL GIVE BRAINLIEST

Answers

Answer:

The answer is B

Step-by-step explanation:

V=lwh

3=15·15·20

3=1500

The measure of an angle is 18.2°. What is the measure of its complementary angle?

Answers

P.’zksksjzjwkwizneszmzms

Find the smaller angle (in degrees) between the hands of a clock at 3:25.

Answers

Answer:

uhh

Step-by-step explanation:

I'm not sure what It is

6. The mean of 9, 14,x, 16, 7 and 18 is 11.5. Find the value of x

Answers

Answer:

Given

11.5= 9+14+x+16+7+18/6

⇒x=11.5×6−9−14−16−7−18=5

∴x=5

Step-by-step explanation:

Hope it is helpful.....

Write 1.653 x 10-4 as an ordinary number.

Answers

Answer:

Here is the work ive done here, im a professional so i want to make it very easy for you to understand! Here is the answer: https://youtu.be/dQw4w9WgXcQ

Answer:

16530

Step-by-step explanation:

It is the answer..

find the value of x??

Answers

Answer:

[tex]\huge\boxed{x=10}[/tex]

Step-by-step explanation:

Look at the picture.

[tex]\dfrac{3x}{y}=\dfrac{4x+20}{2y}\qquad|\text{cross multiply}\\\\(3x)(2y)=(y)(4x+20)\qquad|\text{divide both sides by}\ y\\\\(3x)(2)=4x+20\\\\6x=4x+20\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x+20\\\\2x=20\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{20}{2}\\\\x=10[/tex]

thank u it really helped

Answers

Answer:

who are you thanking? Lol

Step-by-step explanation:

There are 15 books on a shelf. 9 of these books are new. The rest of them are used.

Answers

Answer: 7

Step-by-step explanation:

15-9 =

9 10 11 12 13 14 15

1 2 3 4 5 6 7

7 books were used.

Find the value of x.
х
50°

Answers

The unknown value of x from the diagram is 80 degrees.

The given diagram is an isosceles triangle.

The base angle of an isosceles triangle are equal

The sum of angle in a triangle is also 180 degrees. Hence:

x + 50 + 50 = 180

x + 100 = 180

Subtract 100 from both sides

x + 100 - 100 = 180 - 100

x = 80 degrees

Hence the unknown value of x from the diagram is 80 degrees.

Learn more here: https://brainly.com/question/21680544

find the value of x.

Answers

Hey there!

To find the value of x in an equation, you have to solve for x.

Example

Given: 3x - 9 = 0

First, add 9 to both sides:

3x = 9

Then, divide both sides by 3

x = 3

Have a terrifcly amazing day!

Which polygon appears to be regular?

Figure A

Figure B

Figure C

Figure D

Answers

Answer:

The polygon that appears to be regular is Figure B

Encuentra el valor de las variables de cada ecuacion
3x=6

Answers

Answer:

x = 2

Step-by-step explanation:

3x = 6

6/3 = 2

x = 2

Find the area of a rectangle with a length of
14 ft and width of 28 ft.

Answers

Answer:

392 ft^2

Step-by-step explanation:

area = length * width

a = lw

392 = 14 * 28

Don't forget the unit is ft^2 since we are finding the area of a 2-dimensional shape in feet!

Answer:

Step-by-step explanation:

the area of a rectangle is L*W

A=14*28=392 ft^2

1. What is 2 added to 1?
4
in

Answers

Answer:

Step-by-step explanation:

what is the 4 in for?

Answer:

2+1=3

I think you copy pasted something else like the '4 in'.

Step-by-step explanation:

3(n – 1) = 6
How do I solve this equation?

Answers

Answer:

n=3

Step-by-step explanation:

distribute, then add 3 to both sides, then divide both sides by 3

Answer:

n = 3

Step-by-step explanation:

3(n−1)=6

Step 1: Simplify both sides of the equation.

3(n−1)=6

(3)(n)+(3)(−1)=6(Distribute)

3n+−3=6

3n−3=6

Step 2: Add 3 to both sides.

3n−3+3=6+3

3n=9

Step 3: Divide both sides by 3.

3n/3 = 9/3\

n= 3

SHOW YOUR WORK/SHOW HOW YOU GOT YOUR ANSWER
Ella has $35 in her bank account. She deposited a check for $140 and then withdrew $80. How much money is left in her bank account?

Answers

Add 35 to 140 and then subtract 80 equals $95
35 +140=170 -80
$95

aid 100% more than b . Which of these shows the ratio a:b ? . A is 100:1 , B is 1:100, Cis 2:1 and D is 1:2

Answers

Answer:

a:b = 100:1

Step-by-step explanation:

Given:

a is 100% more than b

Find:

a:b

Computation:

Assume;

Common multiply = p

So,

b = p

a = 100P

a:b = 100p : p

a:b = 100:1

Find the greatest common factor of 7x and 4x?.

Answers

Answer:

GCF = x

Step-by-step explanation:

The factor decomposition is:

7 * x for the first term

2 * 2 * x for the second term.

The ONLY common factor is "x", and the maximum power at which it appears in BOTH terms is "1" (one)

Therefore GCF = x

which is a common denominator of 1/4 and 3/5?
and
A.
9

B.
15

C.
16

D.
20

Answers

Answer:

Step-by-step explanation:

A mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk. The cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $130.80. Find the cost of a mooncake with two two egg yolks.

Plz do in algebraic method

Answers

6(x + 2) + 5(x) = $130.80
6x + 12 + 5x = 130.80
11x = 118.80
x = 10.80, the cost of a moon cake with one egg yolk. Add 2 for the cost of the two egg yolk cake, and your answer is $12.80

6(12.80) + 5(10.80) = 76.80 + 54 = 130.80 ✅

PWEASE HEELP:)In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Jennifer must spend $250 or more in order to qualify for a free t-shirt at the store. She already spent $112.49. How much more money does Jennifer need to spend so that she can earn the free t-shirt?

Answers

Answer:

ummmm this is easy

Step-by-step explanation:

she has to spend $137.51 more, all you have to do is

$250 - $112.49 = $137.51

I am not sure if you were serious with this question or not but here is the answer lulu

hope this helps :) :) :) :)

Suppose a line parallel to side Y Z of AXY Z intersects sides XY and XZ at points N and M, respectively. Which of the
following is false? (1 point)

Answers

12yx and 17xz is the answer to the equation

I need help with the both of these please If you help I will mark you brainLIEST

Answers

Answer:

Step-by-step explanation:

A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|

Answers

Answer:

if anything, I would say C. I can't see the image too clearly, but I can see what you typed out

Step-by-step explanation:

Find the slope. hsjsnsjsbjabajabahabh

Answers

Answer:

the slope is 2

Step-by-step explanation:

to find slope all you need to do is look at the places where the line and the graph intersect. you should be able to find atleast 2 places. Once you have done that, count up how ever many spaces it is until you are on the same line with the place where the line intersects with the graph remember that number in your head, then could left or right until you are on top of the other place where it intersects, remember that number. In this case I counted 2 spaces up and 1 space to the left which gave me 2/1 which is 2

hope this helps. have a good day!

Can someone help me with this? #1 first please

Answers

Answer:

Ok so you did the first box of statements and reasons correct. Now let us look at the second box of statements and reasons. There is also one more given statements and reasons and it is RS is congruent to TS. That is going to be a given one. Now if you look at the prove sections, it says to prove angle RSV is congruent to angle TSV. In the comments section let us find the answer together. I know the answers, but you give it a try too. I will give you a hint that the triangle is a AAS postulate (Angle-Angle-Side).

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SKETCHPAD Question 5 Given AABC shown on the coordinate plane below. AA"B"C" = Ro (T(-4,3)(ABC)) 90° Draw AA'B'C'' if You may use different colors for the separate transformations. Indicate your final answer. Feel free to use the Dynamic Geometry Tool to complete the transformations.

Answers

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SKETCHPAD
Question 5
Given AABC shown on the coordinate plane below.
AA"B"C" = Ro (T(-4,3)(ABC))
90°
Draw AA'B'C'' if
You may use different colors for the separate transformations. Indicate your final
answer. Feel free to use the Dynamic Geometry Tool to complete the
transformations.