What is the graph of the solution set of the compound inequality?
-5 < a – 6 < 2

Answer:

Angles 2 and 6 are congruent as corresponding angles

Angles 6 and 7 form a linear pair.

Angles 2 and 6 are congruent as corresponding angles; angles 6 and 7 form a linear pair thus 2 and 7 will be supplementary angles so option (B) will be correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In the given figure lines m and n is parallel.

So,

Angle 2 = Angle 6 (Congruent)

Now,

Angle 6 and 7 are on a straight line so they will be linear pairs.

∠2 + ∠3 = 180

∠6 + ∠7 = 180

So,

(∠2 + ∠3) + (∠6 + ∠7) = 360

(∠2 + ∠7) + (∠3 + ∠6) = 180 + 180

Each corresponding pair will be the same because of congruent.

So,

(∠2 + ∠7)  = 180

Hence "Angles 2 and 6 are congruent as corresponding angles; angles 6 and 7 form a linear pair thus 2 and 7 will be supplementary angles".

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Answer:

16^2

Step-by-step explanation:

Find the diagonal of a square whose sides are of the given measure.

Given = 16"

16^2

Answer:

7x = 21

x = 3

Step-by-step explanation:

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Answer:

x

Step-by-step explanation:

the answer is 80 take the positive and negative and use the sign change rule

Answer:

50

Step-by-step explanation:

First, find the square roots.

[tex]\sqrt{-16} =4i[/tex]

[tex]\sqrt{-64} =8i[/tex]

Remember: i stands for [tex]\sqrt{-1}[/tex]

Then use the FOIL method to multiply.

(3+4i)(6-8i)

18-24i+24i-32i²

i²= -1, so :

18+32

50

I have no idea what the other person did, but its wrong.

Answer:

I think 3 $

Step-by-step explanation:

Ans; 9÷3=3 , 18÷6=3 ,....

I hope I helped you^_^

Answer:

B

Step-by-step explanation:

An absolute value cannot be negative

Answer:

option B

I hope it helps , pls mark as the branliest

Based on the information given, Arpi drinks 48.38 ounces of water.

Since the glass that holds 10.75 fluid ounces and Arpi drinks 4.5 glasses of water in one day, then the amount of water that Arpi drinks will be calculated thus:

= 10.75 ounces × 4.5 glasses

= 48.375 ounces

= 48.38 ounce to the nearest hundredths

In conclusion, Arpi drinks 48.38 ounces of water.

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Answer:

For Question 1 it's the first option

For Question 2 it is 7 percent

for the third question it is 3:10

1. Test results indicate that a patient has cancer when, in fact, he does not is False statement.

2. The probability of drawing a Queen, placing it back in the deck, and drawing any face card is 2%.

3. The odds in favor of it raining are 3:7.

1. The example of a false positive is:

Test results indicate that a patient has cancer when, in fact, he does not.

2. To find the probability of drawing a Queen, placing it back in the deck, and drawing any face card, we multiply the probabilities together.

There are 4 Queens in a deck of 52 cards.

So the probability of drawing a Queen is 4/52 = 1/13.

There are 12 face cards (4 Kings, 4 Queens, and 4 Jacks) in a deck of 52 cards.

So, the probability of drawing a face card is 12/52 or 3/13.

Now, the probability of both events happening, multiply the probabilities:

= (1/13) * (3/13)

= 3/169.

= 0.01775

Now, Converting 3/169 to a percentage and rounding to the nearest whole number,  2%.

Therefore, the probability of drawing a Queen, placing it back in the deck, and drawing any face card is 2%.

3. Given that there is a 30% chance of rain.

So, the probability of rain is 30/100 or 3/10.

The probability of no rain is the complement of the probability of rain, which = 1 - 3/10

          = 7/10.

Therefore, the odds in favor of it raining are 3:7.

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9514 1404 393

Answer:

  x > 56

Step-by-step explanation:

The place to begin is this: look at the given inequality to see where the variable is and what has been done to it.

Here, the variable is on the left. It is buried in an expression in parentheses and other stuff is added outside. If you were to evaluate this expression using the Order of Operations, the operations you would perform are ...

So, to solve for x, you can "undo" these operations in the reverse order.

  8 +1/3(8 -x) < -8 . . . . . given

  1/3(8 -x) < -16 . . . . . . . subtract 8 to undo addition of 8

  8 -x < -48 . . . . . . . . . . multiply by 3 to undo multiplication by 1/3

  8 < -48 +x . . . . . . . . . . add x to undo the subtraction of x

  56 < x . . . . . . . . . . . .  add 48 to undo the subtraction of 48

The solution is ...

  x > 56

_____

Additional comment

You can do anything you like to an equation or inequality, as long as you do the same thing to both sides. When we say "subtract 8" we mean "subtract 8 from both sides".

The only difference between solving equations and solving inequalities is that some operations will cause the order to be reversed. Chief among these is multiplication or division by a negative number. Consider ...

  1 < 2

  -1 > -2 . . . . multiply (or divide) by -1, reverses the order

Answer:

d

Step-by-step explanation:

i did this last year

Answer:

2) -1

3) 1

is the answerrrrrrrrrr

Answer:

P = 3/6.

Step-by-step explanation:

there are three odd numbers and three even numbers on a 6-sided die. the probability of rolling an odd number is 50%, which can be converted to 1/2, or 3/6. hope this helps

- Zombie

Answer:

3/6

Step-by-step explanation:

9514 1404 393

Answer:

  n^3 -9n^2 +9n +7

Step-by-step explanation:

The attached shows the long division tableau. The "Hints" column shows how the quotient terms are developed, and how the expression is found that is subtracted from the dividend.

The overall form of this work matches that of numerical long division. The difference is that there are no carries from one power of n to another the way there is in numerical long division from one power of 10 to another. I find polynomial long division to be simpler.

Answer:

The answer is never true

Step-by-step explanation:

Can you please give me brainliest

Answer:

A should be the right answer if the power of 4x is larger than 8

Step-by-step explanation:

descending order : arranged in a series that begins with the greatest or largest and ends with the least or smallest 

Answer:

B

Step-by-step explanation:

Let c represent the amount of gallons used in the city and h represent the amount of gallons used on the highway.

Graham drove a total of 200 miles. Since his car gets 25 miles per gallons in the city and 30 miles per gallon on the highway:

[tex]\displaystyle 25c + 30 h = 200[/tex]

And he used a total of seven gallons. In other words:

[tex]c + h = 7[/tex]

This yields a system of equations:

[tex]\displaystyle \left\{ \begin{array}{l} 25c + 30h = 200 \\ c + h = 7\end{array}[/tex]

Since we want to determine the number of miles Graham drove in the city, we will solve for c using substitution. From the second equation, solve for h:

[tex]\displaystyle h = 7 - c[/tex]

Substitute:

[tex]\displaystyle 25 c + 30 ( 7 - c) = 200[/tex]

Solve for c:

[tex]\displaystyle \begin{aligned} 25c + (210 - 30c) &= 200 \\ -5c &= -10 \\ c &= 2\end{aligned}[/tex]

Therefore, Graham used a total of two gallons in the city.

Since his car gets 25 miles per gallon in the city, Graham drove a total of:

[tex]\displaystyle \frac{25 \text{ mi}}{\text{gal}} \cdot 2\text{ gal} = 50\text{ miles}[/tex]

Or 50 miles in the city.

In conclusion, our answer is B.

Step-by-step explanation:

Let

Gallon in city = x

Gallon in highway = y

25x + 30y = 200 (i)

x + y = 7 (ii)

Multiplying ii by 30

30(x + y) = 30(7)

30x + 30y = 210 (iii)

On subtracting

30x + 30y - 25x - 30y = 210 - 200

5x = 10

x = 10/5

x = 2

Distance covered = 50

Answer:

x = 0

Step-by-step explanation:

you could hold a mirror perpendicular to the page with an edge aligning on the y axis and the reflected curve would imitate the actual curve.

Answer:

the answer is 2 :)

have a good day !!

Step-by-step explanation:

Answer:

1 < r < 6

Step-by-step explanation:

6 < r + 5 < 11

~Subtract 5 to everything

1 < r < 6

Best of Luck!

Answer:

identity

Step-by-step explanation:

brainliest plz

Answer:

a

Step-by-step explanation:

when you times 5 by 2 you get 10 and 10 minus 6=4

Answer:

125

Step-by-step explanation:

25/100×500

25×5

125

Hope this helps you

Answer:

players to coach ratio.

What is a ratio, a ratio is diplayed like this 2:3

If you were to put the ration of ->    players:coach

The ratio would be 48:6

yes, you can simplify a ration,

48/6 = 8

6/6 = 1

ration is 8:1

Answer:

8:1

Step-by-step explanation:

48:6 = 8:1

Answer:

He would weigh 218.5 pounds on Jupiter

Step-by-step explanation:

If objects weigh 2.3 times as much on Jupiter then you multiply Joey's weight by 2.3.

Answer: 218.5 pounds

Step-by-step explanation: If objects on Jupiter weigh 2.3 times their weight on Earth and if Joey weighs 95 pounds on Earth, he would weigh 2.3 times of his weight on Earth on Jupiter. 2.3 times 95 pounds would be 218.5 pounds. Joey would weigh 218.5 pounds on Jupiter.

Answer:

The highway fence cost $600.

Step-by-step explanation:

Since the highway fence is twice as cost as the one of the other 4 sides, this means that the highway fence = 2 normal fence.

Therefore, we use

$1800 / highway fence(2 normal fence) + 4 normal fence

$1800 / (2 + 4) = $300

This means that every normal fence cost $300.

Which then we get the highway fence is $600 because it costs double of the normal fence.

Answer:

i neeedd pointt........