Example 5: Writing and Solving an Equation
The circles are identical. What is the area of each circle?
x + 2
4X
Please help…

Answer:

Explanation

Step-by-step explanation:

Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.

The two straight lines are parallel and the co-position angles are equal, ∠2 =∠6

An angle is formed when two straight lines as well as rays meet at a single endpoint. The point where two points converge is known as an angle's vertex. The term "angle" comes from the Latin word "angulus," that also means "corner."

Vertex: A vertex is a corner of an angle or the intersection of two lines or sides.
Arms: The angle's two sides joined at a single end.
Initial Side: A straight line from which an angle is drawn is referred to as the reference line as well.
The side that the angle measurement is done up to is known as the terminal side.

Acute angles have a vertex angle that is less than 90 degrees.
Obtuse angles range from 90° to 180°.
At its vertex, a right angle has an exact measurement of 90°.
A straight angle is one that is 180° in length.
Reflex angles range from 180° to 360°.
A 360° angle is a full circle.

Solution:

The third straight line intersects the two parallel lines, creating angles 2 and 6.
∴ ∠2 and ∠6 are on the same side of the section line, and on the same side of the truncated parallel line.
∴ ∠2 and ∠6 are co-positions angles.
∴ ∠2 =∠6

Theorem :
The two straight lines are parallel and the co-position angles are equal.

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Answer:

12 Points

Step-by-step explanation:

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

x + y = 6......(1)

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

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Answer:

horizontal line

Step-by-step explanation:

Gradient is the slope of points

therefore,

[tex]gradient(m) = \frac{ - 2 - 4}{ - 1 - ( - 4)} \\ = \frac{ - 6}{3} \\ = - 2[/tex]

Answer:

D

Step-by-step explanation:

If we do 8:35 + 40 mins it equals to 9:15

So then we have to add 5 hours to equal to 2:15 :D

Answer:

John will run out of toner cartridges first

Step-by-step explanation:

First, find how many sheets he can print with the 3 toner cartridges:

3(2000)

= 6000 sheets of paper

Find how many sheets of paper he has:

15(500)

= 7500 sheets of paper

Since 6000 is less than 7500, John will run out of toner cartridges first.

Answer:

infinite number of solutions

Step-by-step explanation:

-12x - 2y = -4.

add 12x on both sides

-2y = 12x -4.

divide by -2

y = -6x + 2

Answer: D. Infinite number of solutions.

Step-by-step explanation: On Edge!

Answer:

no because the density is higher than water at 1.166667

Step-by-step explanation:

No, this solid doesn't float in water because the density is higher than water at 1.166667.

To find solid float in water or not.

Density is the measurement of how tightly a material is packed together.

It is given that :

dimensions of solid is 3.0 cm X 4.0 cm X 2.0 cm

The volume in milliliters is equal to the cubic centimeters.

So volume=3.0 cm X 4.0 cm X 2.0 cm

volume=24 [tex]cm^{3}[/tex]

Mass=28 g

Density= 1.00 g/ml

By the formula,

Density=Mass/ volume

1.00 g/ml=28 g/24 [tex]cm^{3}[/tex]

1.00 g/ml<1.166667

density of solid >density of water

So, the solid sink in water because the density is higher than density of  water at 1.166667.

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Answer:

Play pes or fifa mobile or bgmi or see Jordaindians

Answer: 11

Step-by-step explanation:

Substitute x with 5.

3(5)-4=11

Answer:

11

Step-by-step explanation:

Plug in 5 for x to get the following expression:

3(5) - 4

Then just solve:

15 - 4

11

Answer:

Below.

Step-by-step explanation:

37+8= 45

45-8=37

so 45.

Answer:

45

Step-by-step explanation:

total money = amount spent plus amount remaining

total money = 8+37

total money = 45

Answer:

[tex] - 6 + \frac{1}{4} x + 3( \frac{1}{4} x + 6) \\ \\ = - 6 + \frac{1}{4} x + \frac{3}{4} x + 18 \\ \\ = - 6 + x + 18 \\ = x + 12[/tex]

Answer:

[tex] = - 6 + \frac{1}{4x} + 3( \frac{1}{4x} + 6) \\ = - 6 + \frac{1}{4x} + \frac{3}{4x} + 18 \\ = 12 + \frac{4}{4x} \\ = 12 + \frac{1}{x} \\ = \frac{12x + 1}{x} [/tex]

Answer:

I can't really see anything in here could you make the photo up close. Please thanks, I really want to help you :)))

Step-by-step explanation:

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

Answer: Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Step-by-step explanation:

Answer:

40/31

Step-by-step explanation:

4x = (1/8)x + 5

=> 4x - 5 = (1/8)x

=> 8(4x-5) = x

=> 32x - 40 = x

=> 32x - x = 40

=> 31x = 40

=> x = 40/31

Make the unknown numerator be x and unkown denominotor be y

We have :  7 - [tex]\frac{x}{y}[/tex] = 6[tex]\frac{4}{5}[/tex]

            =>       [tex]\frac{x}{y}[/tex] = 7 - 6[tex]\frac{4}{5}[/tex]

                       [tex]\frac{x}{y}[/tex] = [tex]\frac{1}{5}[/tex]

So we need to fill in the box : [tex]\frac{1}{5}[/tex]

If the answer is helpful, Brainliest please!

Answer:

4.43

Step-by-step explanation:

4 3/7

~Turn into an improper fraction

31/7

~Divide

4.42885714286...

~Round

4.43

Best of Luck!

Answer:

D. 256

80 times 4

320 times .20

320-64

Answer:

I think the answer is (0)

Step-by-step explanation:

I am not sure about this

Answer: m=6

Step-by-step explanation:

Take the inequality 50m + 11 < 75m + 25 and replace the m with (6).

This makes 50(6) + 100 < 75(6) +25. Multiply on each side.

The result is 300 + 100 < 450 + 25 which is the same as 400 < 475.

Brainliest please?

Answer:

2x+2

Step-by-step explanation:

(x+1)(x+2)=0

Because it has the same i think you can just put the x's to together and make it 2x and multiply the 1x2 and that equals 2 so i think its 2x+2 maybe it could be 2x+3 or 2x*3 or 2x*2 but im pretty sure its 2x+2it makes sense because both of the x's are in the front of the + and the 1 and 2 are in the back

Answer:

ok i hops help u

Step-by-step explanation:

The answer to 63 divided by 21 can also be written as a mixed fraction as follows: 3 0/21 Note that the numerator in the fraction above is the remainder and the denominator is the divisor. How to calculate 63 divided by 22 using long division

What is 6114 Divided by 63?

We provide you with the result of the division 6114 by 63 straightaway:

6114 divided by 63 = 97.047619

The result of 6114/63 is a non-terminating, repeating decimal.

The repeating pattern above, 047619, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 6114/63 = 97.(047619): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 6114 / 63 = 97.047619… .

6114 divided by 63 in decimal = 97.047619

6114 divided by 63 in fraction = 6114/63

6114 divided by 63 in percentage = 9704.76190476%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 6114 and 63, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 6114, and the denominator, e.g. 63, have been inserted.

What is the Quotient and Remainder of 6114 Divided by 63?

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 6114 divided by 63 = 97 R 3

The quotient (integer division) of 6114/63 equals 97; the remainder (“left over”) is 3.

6114 is the dividend, and 63 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of six thousand, one hundred and fourteen over sixty-three, followed by the summary of our information.

Six Thousand, One Hundred And Fourteen Divided by Sixty-Three

You already know what 6114 / 63 is, but you may also be interested in learning what other visitors have been searching for when coming to this page.

The FAQs include, for example:

What is 6114 divided by 63?

How much is 6114 divided by 63?

What does 6114 divided by 63 equal?

If you have read our article up to this line, then we take it for granted that you can answer these FAQs and similar questions about the ratio of 6114 and 63.

Further information, such as how to solve the division of six thousand, one hundred and fourteen by sixty-three, can be found in our article Divided by, along with links to further readings.

Conclusion

To sum up, 6114/63 = 97.(047619). The indefinitely repeating sequence of this decimal is 047619.

As division with remainder the result of 6114 ÷ 63 = 97 R 3.

Answer:

yupp y is always 4.3 times more than x

Step-by-step explanation:

Step-by-step explanation:

no its not proportional

answer from Gauth math

Answer:

a

Step-by-step explanation:

ssdsdaaaaashjkkkllbhgdsfiii

Answer:

3x² + 2x -16

Step-by-step explanation:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

The expanded form of the trinomial (3x+8)(x-2) is 3x² + 2x -16

To expand the trinomial (3x+8)(x-2), we can use the distributive property.

First, we multiply the first terms of each binomial: 3x * x = 3x^2.

Next, we multiply the outer terms: 3x * -2 = -6x.

Then, we multiply the inner terms: 8 * x = 8x.

Finally, we multiply the last terms of each binomial: 8 * -2 = -16.

Putting it all together, we have:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

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Answer:

11.36

Step-by-step explanation:

because the total amount of gallons divided by 34.08 will get you 11.36

Answer:11.36

Step-by-step explanation:

Answer:

5(n+7) = 8

Step-by-step explanation:

this is the equation you are look for if its the value of n it would be -27/5

Answer:

Step-by-step explanation:

5(x + 7) = 8

x + 7 = 8/5

x = 8/5 - 7 = -27/5 = -5.4

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation: