Supppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of these is a true statement

Answers

Answer 1

Options:

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.

The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.

The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

Answer:

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation:

See attachment for options

Given

Shape: Rectangle

Transformation

- Rotation

- Translation 6 units down

Required

True statement about the transformation

From the options, we understand that we are to answer the question based on whether or not the image of the transformation will equal the original.

The given transformations are rigid transformations and as such, they do not in any way change the measure of the length and/or angle of the new image, after transformation

So, irrespective of which transformation comes first, both shapes will be congruent.

Hence: (a) is true


Related Questions

DESCRIBE what you would do to solve for the missing value in this problem. DO NOT SOLVE IT… just tell HOW you WOULD solve it.

?⋅35=2,380

Answers

Answer: divide by 35

Answer:

68

Step-by-step explanation:

Divide 2,380 by 35

It would by 68.

68 x 35 = 2,380

3(x+7) simplify the expressions

Answers

Answer:

3x+21

Step-by-step explanation:

you distribute the 3 which gives you 3x and 7x3 which is 21.

Answer:

3x + 21

Step-by-step explanation:

(3 × x) + (3 × 7)

3x + (3 × 7)

3x + 21

. Find the slope of the line passing through the points (-3,5) and (7,6).

Answers

Answer:

Answer is in the photo below.

Slope= 0.1

Step-by-step explanation:

plz help me my teacher is gonna come in 5 minutes and if she finds me on this imma get suspended

Answers

Answer:

42

Step-by-step explanation:

42 i think

maybe 5

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

Phillip created the net worth statement shown
Net Worth Statement
Assets
House (current value)
Checking account
Automobile
Investments
Total Assets
Value
$85,000
$2,500
$18,500
$7,000
$113,000
Liabilities
Mortgage
Credit card debt
Total Liabilities
$62,000
$9,500
$71,500
Based on the information in the statement, what is Phillip's net worth?
Answer
А
$184.500
B
$41.500
C-$71.500
D-$41.500

Answers

Answer:B

Step-by-step explanation: 113,000 - 71,500 = 41,500

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=75°, and CD = 5.8 feet. Find the length of EC to the nearest tenth of a foot.

Answers

Answer:

1.5

Step-by-step explanation:

A construction company is preparing 10 acres of land for a
new housing community. The land contains large rocks that
need to be removed. A machine removes 15 rocks from 360
square feet of land.
1 acre = 43,560 square feet
About how many rocks will need to be removed from the 10
acres of land?

Answers

Answer:

A

Step-by-step explanation:

43560/360 = 121

131x15 = 1815 rocks per acre

1815 x 10 acres = 18150 rocks

PLEASE HELPPPP FIND THE SURFACE AREA OF THE PYRAMID.

Answers

Answer:

4ft

Step-by-step explanation:

Given are the graphs of the functions f(x)=√x and g(x)=2 sin⁡x. Use the graph or graph the functions on your own and determine all values of x that solve the equation f(x)=g(x). Explain how you identified the solutions.

Answers

The values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

How to solve graphically two equations by graphic approach

In this question we must look for all points where each curve intersects each other. By direct inspection on figure given, we conclude that [tex]f(x) = g(x)[/tex] happens in thrice: (i) [tex](x,y) = (0, 0)[/tex], (ii) [tex](x,y) = (0.256, 0.505)[/tex], (iii) [tex](x,y) = (2.285, 1.512)[/tex]

Hence, the values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

To learn more on solving equations, we kindly invite to check this verified question: https://brainly.com/question/11897796

It's easy 5th-grade math please solve the whole problem (the whole backside is the problem u can look I will mark the brainiest...

Answers

Answer:

which question is it? and please take the picture from the top.

Step-by-step explanation:

And Also will answer in the replies.

3(x+5)^2-12=0. What does x equal

Answers

Answer:

x=−3 or x=−7

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x+5)2−12=0

Step 1: Simplify both sides of the equation.

3x2+30x+63=0

Step 2: Factor left side of equation.

3(x+3)(x+7)=0

Step 3: Set factors equal to 0.

x+3=0 or x+7=0

x=−3 or x=−7

Answer: x=-3 and x=-7

work is in the attachment provided.

Help please i need the correct answer
it's important that i pass
ASAP!!
I will mark you brainliest
I need both answers to both pics

Answers

Answer:

the first one will be a positive correlation

the answer for the second Q will be 16

Step-by-step explanation:

have a nice day

NY Giants jackets sell for $80, there's a 8% sales tax. find the total cost.

Answers

Answer:

the total cost is $86.40

Teresa has some photos on her computer on Monday. On Tuesday, she downloads 24 new photos. Then she delets 9 photos. She ends up with 33 photos. Explain how the equation p+424-9=33 represents the situaton. Then solve the equation for the variable p and interpret the solution.

Answers

Answer:

Teresa had 18 photos on her phone on monday

Step-by-step explanation:

Monday: 18

Tuesday: 42

42 - 9 = 33

A sector of a circle has a central angle measure of 300°. The diameter of the circle is 26 centimeters.
What is the approximate area of the sector?

Plss helpppp I need it now

Answers

The formula is
SA=x/360 multiplied by pi multiplied by the squared radius
So therefore you substitute the values you have into the equation so:
SA= 300/360 x pi x 13 squared (radius is half of diameter so half of 26 is 13)
Therefore the answer should be
442.440
442.4 to one decimal place

PLEASE HELP IM TERRIBLE AT PERCENTAGES!!!​

Answers

Answer:

sory bro i saw this question but i dont know answer

24%
Add all values together, since your finding percentage of pink flowers you’ll do 20/82 which will get you the decimal 0.24 which is 24%

I NEED HELP OMG SOMEONE PLS HELP ME IM FAILING AND MY PARENTS ARE BIG MAD
I HAVE NO IDEA HOW TO DO ST MATH BUT PLS HELP ME (MULTIPLICATION AND DIVISION WITH NEGATIVE NUMBERS) JELLY BLOCK INTEGERS ​

Answers

Answer:

where the question?

Step-by-step explanation:

can I see.i will see if I can do it to answer

6. Solve for x and y 7x+4 5y 9x-2

Answers

Answer:

=45xy9+7x−2

Step-by-step explanation:

which could be the value of x in the triangle below ​

Answers

Answer:

C, D

Step-by-step explanation:

In a triangle, the length of any side must be least than the sum of the lengths of the other 2 sides.

That means

3x < 19 + 6

3x < 25

x < 25/3

x < 8 1/3

Answer: C, D

(x-1²) +2 (x-1) - 29
hola alguien me puede ayudar a factorizar esto doy 20 puntos!!

Answers

Answer:

(x+2x)+(−30−2) = 3x−32

A function C(x) = 8x + 15 represents the cost C. in dollars of producing x, T-shirts for
the marching band.

what would be the cost of producing 60 t shirts?
find the number of t shirts if c(x)=303

Answers

Answer:

The cost of producing 60 t-shirts is $495.

36 t-shirts will let the cost, C(x) = 303

Step-by-step explanation:

If we producing 60 t-shirts, then we plug in 60 for the x, which x represents t-shirts for the marching band.

C(x) = 8x + 15

C(x) = 8(60) + 15

C(x) = 480 + 15

C(x) = 495

If the cost of the t-shirts is 303, we plug in 303 for the cost,C(x).

C(x) = 8x + 15

303 = 8x + 15

288 = 8x

x = 36

Please I need help ASAP

Answers

you just answer ths but here this might help

plz mark as brainliest

WILL GIVE BRAINLY!!!

Find the value of x. Round to the
nearest tenth.
9
4
O
X= | ?

Answers

tan = opposite / adjacent

tan x = 4/9

x = tan^-1 (4/9)

x = 23.9624....

x = 24.0

Answer:

66.03 so 70

Step-by-step explanation:

since hypotunees has no value it cancels.

aso it leaves with an adjacent and oppisite

using trig function you will get

tan(x)=(9/4)

inverse tan to get x on its own

(x)=tan^-1(9/4)

put that on the calculater and you will get the angle

therefore

(x)=66.04 round it the nearest ten which is

70

Please Help Again lol

Answers

Answer:

1 and 3 I think

Step-by-step explanation:

x-18
х
What do I do plz help

Answers

Answer:

x = 54°

Step-by-step explanation:

90° = 2x-18°

90° + 18° = 2x

108° = 2x

x = 54°

Answer:

x = 54

Step-by-step explanation:

The two angles added together equal 90 degrees because they are  complementary angles.

x - 18 + x = 90

Combine like terms

2x - 18 = 90

add 18 to both sides

2x = 108

Divide each side by 2

x = 54

Fill in for x

54 - 18 + 54 = 90

36 + 54 = 90

90 = 90

This proves that the answer is true.

find the value of given expression

[tex] \sqrt{25 \times 2} \times \sqrt{50} [/tex]

Answers

the answer is fifty :)

4x-9=2x+5..solve for X..Help?

Answers

Answer:

x = 7

Step-by-step explanation:

4x - 9 = 2x +5        add 9 from both sides

4x = 2x +14            subtract 2x from both sides

2x = 14.                   divide both sides by 2

x = 7

Answer:

x = 7

Step-by-step explanation:

Rewrite equation

4x - 9 = 2x + 5

Add 9 on both sides

4x -9 +9 = 2x + 5 + 9

Simplify

4x = 2x + 14

Subtract 2x on both sides

4x - 2x = 2x + 14 - 2x

2x = 14

Finally divide both sides by 2

2x/2 = 14/2

x = 7

Hope this helps :)

Home help plz really appreciate it!!!!!

Answers

Answer:

angle AGE=113.5

Step-by-step explanation:

3x-28=66-x

4x=94

x=23.5

23.5+90=113.5

Answer: 113.5° is 100% the correct answer.

Step-by-step explanation:

Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
continuously. Daniel invested $13,000 in an account paying an interest rate of 8.5%
compounded daily. After 18 years, how much more money would Daniel have in his
account than Ellie, to the nearest dollar?

Answers

Answer:

Rate 1: 8

4

1

%=8+1/4=

8.25

%

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

0.085

8.5%→0.085

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Compounded Continuously:

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Compounded Daily:

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

How much more money Daniel has:

60025.6058

Rate 1: 8

4

1

%=8+1/4=

8.25

%

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

0.085

8.5%→0.085

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Compounded Continuously:

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Compounded Daily:

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

How much more money Daniel has:

60025.6058

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar−

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar

Step-by-step explanation:

Please help me solve the algebraic expressions

Answers

[tex] \frac{ 36+{w}^{2}x}{4w} [/tex]

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

[tex] \frac{2 {m}^{3} - 27}{12m} [/tex]

[tex] \frac{ {x}^{5} - 2 }{w {x}^{2} } [/tex]

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