Are rectangles ABCD and WXYZ congruent? Why or why not?

A. Yes, all right angles were preserved

B. Yes, both rectangles have an area of 24 square units.

C. Yes, a 180° rotation about the origin will map ABCD to WXYZ.

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answer:

c

Step-by-step explanation:

The correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time.

y = 5x+25

at starting x=0

y = 25 miles away from the dock

x = 5

y = 5×5+25

y = 50 miles

= (50 - 25)/5

= 5

Thus, the correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

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Answer using slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

We can find the slope.

Substitute:

[tex]\frac{5-2}{2-1}[/tex]

Subtract:

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

[tex]\frac{3}{1}= 3[/tex]

Our slope is 3.

Now we will use Point Slope formula:

[tex]y-y1=m(x-x1)[/tex]

To find our equation.

I will use the first ordered pair, (1,2).

Substitute:

[tex]y-2=3(x-1)[/tex]

Your answer is C. (y − 2) = 3(x − 1).

Hope this helped! :)

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Answer:

5) option c

6) option d

7) option d

8) option b

Answer:

[tex]r \cdot 4 = z[/tex]

Step-by-step explanation:

An expression means that we don't know enough to create an equation. So, this means we will mostly be using variables.

John runs r amount every day. We need to create an expression for if he runs r amount for 4 days.

[tex]r \cdot 4 = z[/tex]

r = how much he runs per day

4 = how many days he runs

z = how much he runs this week

This is your expression!

Answer:

r * 4 = a

Step-by-step explanation:

If John runs the same amount everyday (r) for the past four days, we can multiply 4 by r

r * 4

We don't have enough information to write the answer to the expression so in its place we can put a variable. (In this case, I chose a)

r * 4 = a

So a possible expression for this problem is r *4 = a

Hope this helps! Have a great day! :)

Answer:

8.1%

Step-by-step explanation:

Step one:

given

initial price = $8.72 per pound

final price=  $9.43 per pound

Required

the % increase

Step two:

% increase= (final-initial)/initial*100

substituting we have

[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]

Answer:

75 degrees

Step-by-step explanation:

All the angles within a triangle added together equals 180 degrees, so:

x + 25 + 2x - 5 + x = 180

add like terms

4x + 20 = 180

subtract 20 from both sides

4x = 160

divide by 4

x = 40

Now input 4 into the equation for C

2(40) - 5 = 80 - 5 = 75

Answer:

The maximum volume the cube could have is 729 cubic inches

Step-by-step explanation:

The total surface area of the cube equals the total area of material used.

Let A = total surface area of cube = 6L² where L = length of side of cube

Since A = total area of material used, A = 486 in²

So 486 in² = 6L²

L = √(486 in²/6)

= √81 in²

= 9 in

The volume of the cube V = L³ where L = length of side of cube

So, V = (9 in)³

= 729 in³

So the maximum volume the cube could have is 729 cubic inches.

The maximum volume that the box could have will be 729inches³.

Based on the information given, the first thing to do is to find the length of the shape. This will be:

Length = ✓(486/6)

Length = ✓81

Length = 9

Therefore, the volume of the cube will be:

= 9³

= 9 × 9 × 9

= 729 in³.

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Answer:

62%

take 50*2=100 so you get 100%

next you have to multiply 31*2= 62=62%

do this if you have an even number to get to 100%, its quite simple once you get the hang of it

hope this helps, Mark brainiest?

Answer

it depends if you're on your period and if not then it could be something is but  if you're girl its a vaginal discharge is normal start by wearing panty liners to stop it and leaving on to that you'll get your period

Step-by-step explanation:

Answer:

13 buttons

Step-by-step explanation:

The first step is to add the buttons received by the 6 students.

= 10 + 14 + 15 + 12 + 13 + 14

= 78 buttons

Therefore the number of buttons received by each students can be calculated as follows

= 78/6

= 13 buttons

Hence each student will receive 13 buttons

Answer:

The length of the sides are;

2.3, 2.3 and 1

Step-by-step explanation:

If the equal sides are 3x-0.4 and x + 1.4

This means these two are equal to one another

Thus;

3x-0.4 = x + 1.4

3x-x = 1.4 + 0.4

2x = 1.8

x = 1.8/2

x = 0.9

So the length of the sides are as follows;

3x - 0.4

3(0.9)-0.4 = 2.3

x + 1.4

= 0.9 + 1.4 = 2.3

And lastly

x + 0.1

0.9 + 0.1 = 1

Answer:

x=(-6)

Step-by-step explanation:

Answer:

x= -6

Step-by-step explanation:

5x-10= -40

add 10 to both sides

5x= -30

divide both sides by 5

x= -6

Answer:

40 games will be played in total.

Step-by-step explanation:

Answer:

18 miles per gallon

Step-by-step explanation:

We get this by taking 2,250 (the distance traveled) divided by 125 (the amount of gas used)

Answer: c=(220)^1/2

^1/2 is the square root

Step-by-step explanation:

c^2=a^2+b^2

c^2=14^2+(24^1/2)^2

c^2=196 +24

c^2=220

c=(220)^1/2

Answer:

n > 5

Step-by-step explanation:

Answer:

3n + 2 > 17

Step-by-step explanation:

3n + 2 > 17

-2 -2

3n > 15

÷3 ÷3

n > 5

Answer:

60%

Step-by-step explanation:

The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:

10 to 6.

Percentages are typically x% out of 100, so if you multiply both by 10 you get:

100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.

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Answer:

a i think

Step-by-step explanation:

1/4 = 18

Or

Answer = 31.5

Answer:

-38/7

Step-by-step explanation:

We are given [tex]-\frac{5}{4}(\frac{8}{7}+\frac{16}{5})\\[/tex]. First find the sum of the fractions in the parentheses. The greatest common multiple is 35 so we have [tex]\frac{8}{7}+\frac{16}{5}=\frac{40}{35}+\frac{112}{35}[/tex].

The sum of [tex]\frac{40}{35}+\frac{112}{35}[/tex] is [tex]\frac{152}{35}[/tex].

Now we multiply it by [tex]-\frac{5}{4}[/tex] so we have

[tex]\\-\frac{5}{4} \cdot \frac{112}{35}\\=-\frac{1}{7}\cdot \frac{38}{1}\\=\boxed{-\frac{38}{7}}\\[/tex]

Answer:

Step-by-step explanation:

Step one:

given data

we are told that she got charged $250

time of the tutoring = 11 hours

Step two:

Required

The unit rate: this is defined as the cost per item, in this case, it is the cost per unit of time, Hence

the unit rate

=250/11

=$22.72  per hour

Answer:

A circle of radius = 14 or diameter = 28 or circumference = 87.96 meters has an area of: 0.0006158 square kilometers (km²) 615.8 square meters (m²) 6.158 × 10 6 square centimeters (cm²) 6.158 × 10 8 square millimeters (mm²) 0.000237762 square miles (mi²) 736.491 square yards (yd²) 6628.42 square feet (ft²) 9.54492 × 10 5 square inches (in²)

Step-by-step explanation:

Answer:

24 is the least number of hamburger patties and buns Mr. Martinez will have to buy.

Step-by-step explanation:

You need to find the LCM of 6 and 8. The number they have first have common is 24

Answer:

7 full laps

Step-by-step explanation:

let x= how many laps

[tex]\frac{3}{8} =\frac{x}{20}[/tex]

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Answer:

7 full laps

let x= how many laps

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Step-by-step explanation:

Answer:

18 dots

____________________________________________________

The number of dots in the step 4 are eighteen.

A number system is defined as a system of writing to express numbers.

From the figure, In step 0 there are two dots.

In step 1 there are three dots

In step 2 there are six dots

In step 3 there are eleven dots

We need to find the number of dots in step 4.

2+ 1=3

3 + 3 = 6

6 + 5 = 11

11+7=18

The sequence of odd numbers are added.

Hence, in step 4 there are 18 dots

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Answer:

there aren't any options. but quadrant four would have a (x,-y) set up. positive x-values, but negative y-values.