The two rectangles in the sketch below are congruent. Which sequence exhibits their congruence? A rotation 90° clockwise about the origin followed by a reflection across the x-axis A rotation 90° counterclockwise about the origin followed by a reflection across the y-axis A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis A rotation 180° counterclockwise about the origin followed by a reflection across the y-axis

Answer:

x = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]

Answer:

60 cm

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

2,250

Step-by-step explanation:

negative times a negative equals a positive.

Answer:

-

Answer:

Step-by-step explanation:

h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12

12 is the answer

Answer:

The correct answer is:

a-

Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.

Step-by-step explanation:

Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.

(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

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Answer:

- 2x

Step-by-step explanation:

Step 1:

- 12x + 10x

Answer:

- 2x

Hope This Helps :)

Answer:

-2x

Step-by-step explanation:

Like the other problem, we want to combine our like terms(in this case, all terms with x's). In order to do this, all you have to do is ignore the x's and then add the numbers together. -12 + 10 = 2. Now that we've added them together, you can add the x back to get 2x.

20cm^2 assuming that each box is one cm

Answer:

Step-by-step explanation:

Let the number of hats be n. Then money made is

Profit for each hat:

Profit for n hats

Deduct cost of advertisement - 50

Option C is correct

Answer:

- 6x

Step-by-step explanation:

Step 1:

- 5x - x

Answer:

- 6x

Hope This Helps :)

- 6x

Step 1:   - 5x - x

Answer:  - 6x

Answer:

9.45

Step-by-step explanation:

28.20/188=.15

.15x63=9.45

Answer:

rational

Step-by-step explanation:

Answer:

.9274 is a integer

Step-by-step explanation:

rational numbers have to be able to be written as a fraction.

.9274 is not a whole number.

therefore it is an integer.

Answer:

[tex]8i^{22}[/tex] - 1

Explanation:

It's actually quite easy to tell which simplifies to a real number without working out the problem.

[tex]i^{2}[/tex] = -1

Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.

Some tips for fully solving the expression:

If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because [tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex] = [tex](-1)^{2}[/tex] = 1

If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.

Answer:

-(33+110z)/10z

Step-by-step explanation:

(-7/2z +4)+(1/5z -15)

from BODMAS, solving the one in the bracket

First(-7/2z +4)+(1/5z -15)

Find the Lcm

[-7/2z +4] +[1/5z -15]

(7+8z)/2z +(1-75z)/5z

find the Lcm which is 10z

[5(-7+8z) + 2(1-75z)]/10z

[(-35+40z)+(2-150z)]10z

(-35+2+40z-150z)/10z

(-33-110z)/10z

-(33+110z)/10z

The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The sum of {(-7/2z) + 4} + (1/5z) - 15}.

= (-7/2z) + (1/5z) + 4 - 15.

= (-14 + 2)/10z - 11.

= - 12/10z - 11.                                    (LCM of 2z and 5z is 10z)

= - 6/5z - 11.

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Answer:

The length is 4

Step-by-step explanation:

Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

Answer:

Statement: 60 = 3x + 15; Reason: substitution

(aka A)

Step-by-step explanation:

The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

Here,

We have to find the missing statement and missing reason.

What is Substitution method?

Substitution method is algebraic method to solve the linear equations .

Now,

Column 1 and column 2 are labeled here as;

Angle A D E = 60 degrees                ( entries given)

Angle C D F = (3 x + 15) degrees

Angle A D E and Angle C D F are vertical angles.  (definition of vertical angles)

Angle A D E is-congruent-to Angle C D F.  ( definition of congruency)

Measure of angle A D E = Measure of angle C D F.

⇒  60 = 3x + 15      ( substitution )

⇒  45 = 3 x            ( subtractive property )

⇒  15 = x             ( division property )

Hence, The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

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Answer:

D. 280miles

*Step by step explanation*

miles= 160miles × 7gallons / 4 gallons

miles = 280 miles

Answer:

Step-by-step explanation:

Second question:

I hope this helps!

Answer: 212.81

C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place

Step-by-step explanation:

What is 212.809 rounded to the nearest hundredth?

When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.

Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,

212.809 = 212.81 to nearest hundredths

Answer:

additive inverse property

Step-by-step explanation:

(x)+(-x)=0

The additive inverse property states

a+ -a =0

Answer:

The absolute property.

Step-by-step explanation:

A number plus the opposite of the number will always equal 0.

Answer:

It would be $ 8.25 without the tax.

Step-by-step explanation:

If you add $2.75(the cost for bowling shoes) then multiply the cost for one bowling game by 3, since she played 3 games, then add that to the cost of shoes, then add the cost for the food, which gives your $12.00. Then take 50% of the price of bowling games. Which is $3.75. Then replace that with the original price of the 3 bowling games! Which gets you.....$8.2 for the total cost without tax

Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !

Answer:

14:6 is the same as 7:3

Step-by-step explanation:

both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal

Answer:

14:6

Step-by-step explanation:

When 2 is divided by the two numbers, 14 and 6, it will be 7:3.