Please help! Find the value of FG. The drawing is not to scale. EF=11 and EG=21

Answer:

x = 1/2, y = 1

Step-by-step explanation:

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Answer:

x = ¹/₂

y = 1

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}-4x+3y=1\\\:\:\:\:\:\:6x-y=2 \end{cases}[/tex]

Multiply the second equation by 3:

[tex]\implies 3 \cdot 6x-3 \cdot y = 3 \cdot 2[/tex]

[tex]\implies 18x-3y=6[/tex]

Add this to the first equation to eliminate the term in y:

[tex]\begin{array}{lrr}&-4x+3y & = 1\\+ & 18x-3y& = 6\\\cline{2-3} & 14x \phantom{-3x)} & = 7\end{array}[/tex]

Solve for x:

[tex]\begin{aligned}\implies 14x & = 7\\\\\dfrac{14x}{14} & = \dfrac{7}{14}\\\\\implies x & = \dfrac{1}{2}\end{aligned}[/tex]

Substitute the found value of x into the first equation and solve for y:

[tex]\begin{aligned}-4x+3y & =1\\x=\dfrac{1}{2}\implies -4\left(\dfrac{1}{2}\right)+3y & =1\\-\dfrac{4}{2}+3y & =1\\-2+3y & =1\\-2+3y+2 & =1+2\\ 3y & =3\\\dfrac{3y}{3} & =\dfrac{3}{3}\\\implies y & =1\end{aligned}[/tex]

Therefore, the solution to the given system of equations is:

x = ¹/₂ and y = 1

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Answer:

it should be b.

Step-by-step explanation:

2 rare coins will make them $100 each month. There are 12 months in a year.

12 × 2 = 24 months

so $100 × 24 months will give us 2400.

Then Mario purchases 3 coins making it cost $150 ($50 + $50 + $50)

2400 + 150 = 2550

Brainliest plss :,)

The temperature at midnight is -8°C.

Let the initial temperature be x.

It should be noted that there are 7 hours between midnight and 7am.

Therefore, the equation will be:

x + (1.1 × 7) = -0.3

x + 7.7 = - 0.3

x = -0.3 - 7.7

x = -8

The temperature at midnight is -8°C.

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The equation of a line in slope-intercept form is  [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .

The equation of the line is given below using the slope-intercept method:

y = mx + c

where,

m = the slope of the line

c = y-intercept of the line

(x, y) represent any point on the line

To find the Slope of a line that passes through the points (2, 4) and (3, -4).

m₁ = change in y/change in x

    = y₂ - y₁ / x₂ - x₁

    = Δy/Δx

   = [tex]\frac{-4-4}{3-2}[/tex]

   = [tex]\frac{-8}{1}[/tex]

   = -8

Now, we find the slope of the line perpendicular to the line with the slope -8.

m₂ = -1 / m₁

    = -1 / -8

    = 1/8

So, the slope of the line is 1/8.

Next, we find the equation of a line that passes through the point (1, -5) and has a slope of 1/8.

⇒ y - y₁ = m( x- x₁)

⇒ y + 5 = [tex]\frac{1}{8}[/tex] (x - 1)

Multiplying by 8 on both sides of the equation we get and then solving

⇒ 8y + 40 = x - 1

⇒ 8y = x - 41

 ⇒ [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex]

Therefore, the equation in slope intercept form is  [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .

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Answer:

2

Step-by-step explanation:

You can only cut it into 2 exact equal parts <3

Answer:

It has none.

Step-by-step explanation:

If it was down the middle it wouldn’t work and if it was across it also wouldn’t work.

Answer:

Starting paragraphs:

My name is _______. I was born on a cloudy night on the ___ of _______, _____ in ___________ . My parents were very happy as they had been blessed with a baby boy/girl, and that girl/boy is me!

1 year passed by and my 1st birthday was celebrated with much joy and it turned out to be a super extravagant event.

I do not remember much of my early childhood but my parents said that I was a very active, curious and a communicative child. I would ask dozen of questions each minute, without waiting for the answers. I suppose that's why my parents offered me books as early as my third birthday.

Ending paragraph:

I am thankful for my parents, teachers and friends for making me the person who I am today.

Explanation:

Compose your autobiography with the help of the following points:

Step-by-step explanation:

they are different because the first equation only ax is in absolute but in the second equation both ax and b are in absolute, so we could solve them differently.

The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.

Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

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Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4= 3/4

1 - 3/4 = 1/4 is left

Answer:

There is 1/4 left

Step-by-step explanation:

Find the amount of cake left.

The entire cake is 1

1-1/2 - 1/4

Get a common denominator of 4

1 *4/4 = 4/4

1/2 *2/2 = 2/4

Using the common denominator

4/4 - 2/4 - 1/4

2/4 - 1/4

1/4

There is 1/4 left

The equation of the line from the given points marked on the graph is:

3. 3x+y+5=0

4. 3x+y+3=0

Given,

3.The points are:

(-1,-2) and (1,-8)

let the points be :

(-1,-2) = (x₁,y₁)

and (1,-8) = (x₂,y₂)

The equation of the line passing through the points (-1,-2) and (1,-8)

x - x₁/x₂-x₁ = y - y₁/y₂-y₁

For the given points, the equation is:

x-(-1)/1-(-1) = y-(-2)/-8-(-2)

x+1/2 = y+2/-6

-6(x+1) = 2(y+2)

-6x-6=2y+4

-6x-2y-6-4=0

-6x-2y-10=0

-2(3x+y+5)=0

3x+y+5=0 is the equation of the line.

4.The points are:

(-3,6) and (3,0)

let the points be :

(-3,6) = (x₁,y₁)

and (3,0) = (x₂,y₂)

The equation of the line passing through the points (-1,-2) and (1,-8)

x - x₁/x₂-x₁ = y - y₁/y₂-y₁

For the given points, the equation is:

x-(-3)/3-(-3) = y-6/0-6

x+3/6 = y-6/-6

-6(x+3) = 2(y-6)

-6x-18=2y-12

-6x-2y-18+12=0

-6x-2y-6=0

-2(3x+y+3)=0

3x+y+3=0 is the equation of the line

Hence we get the required equations of the line.

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The equation is simplified as [tex]x^{16}=x^{16}[/tex].

The given equation is [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex].

We need to simplify and explain the equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Use the exponent rule [tex]a^m . \ a^n=a^{m+n}[/tex] to simplify the given equation.

Now, [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex]

⇒ [tex]x^{12+4}=x^{8+8}[/tex]

⇒ [tex]x^{16}=x^{16}[/tex]

The exponents of both the sides of equation are the same.

Therefore, the equation is simplified as [tex]x^{16}=x^{16}[/tex].

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Answer:

Step-by-step explanation:

no. of emergency kits = x

bottles per kit = 5

total no. of bottles = 5x

which means,

5x = 125

125/5 = x

x = 25

Answer:

ok is the corr!ctewwwdeeecceeeeecrrr\g

The money in dollars that must be put in this cd in order to have $5,000 in 3 years is $4,081.63

The formula for simple interest and procedure we will use to solve this exercise is:

A = P {1 + [(R/100) * T]}

Where:

Information about the problem:

Applying the simple interest formula and isolating the principal (P), we get:

A = P {1 + [(R/100) * T]}

$5,000 = P {1+[(7.5/100) * 3]}

$5,000 = P [1+(0.075*3)]

$5,000 = P (1+0.225)

$5,000 = P (1.225)

P = $5,000/ 1.225

P = $4,081.63

It is the operation in which we calculate the profit produced by a capital loaned at a given percentage.

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Answer: domain is x and range is y

Step-by-step explanation:

Answer:

Domain: {2, 8, 30, 46}
Range: {-1, 9, 16}

Step-by-step explanation:

The domain of a function y = f(x)  is the set of all values that the input values (x) that the function can accept. The range of a function is the set of all output values that the function can produce from the domain values ie the set of all  values

Looking at the figure, the set of all x values that the function y can take are
{2, 8, 30, 46} and this is the domain

The output values produced from this domain are {-1, 9, 16} and that is the range

The equation of the sphere is

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

The standard form of the equation of the sphere is :

[tex](x-a)^{2}+(y-b)^{2}+(z-c^{2} )=r^{2}[/tex]

Where A (a, b , c) is the center and r is the radius.

From the question we should first find the radius

r = [tex]\sqrt{(x-a)^{2}+(y-b)^{2}+(z-c)^{2}[/tex]

Point = (x , y , z) = (8 , 3 , -3)

Center = (a, b , c)= (5 , 6 ,5)

Substituting it in the formula

r = [tex]\sqrt{(8-5)^{2}+(3-6)^{2}+(-3-5)^{2} }[/tex]

By further calculation

r = [tex]\sqrt{9+9+64}[/tex]

So, we get

r =[tex]\sqrt{82}[/tex]

Substituting it in the standard form

[tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2}=\sqrt{82}^{2}[/tex]

[tex](x-5)^{2} +(y-6)^{2} +(z-5)^{2}=82[/tex]

[tex]x^{2} +y^{2}+z^{2}+25+36+25-10x-12y-10z=82[/tex]

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+86-82=0[/tex]

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

Therefore, the equation of the sphere is

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

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Answer:0.4875.

Step-by-step explanation:

Answer:

0.48750

explanation:

The 10th score should be 9.5 for the mean to be 5.

The mean value is the average value of the given data.

According to the given question  the mean of 9 score is 4.5 what must the 10th score be for the mean of all score to be 5.

The total average score for 9 games is

= ( 9 × 4.5 )

= 40.5.

The total average score for the mean to be 5 in 10 games is

= ( 10 × 5 )

= 50.

∴ The 10th score must be ( 50 - 40.5 ) which is

= 9.5.

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Answer:

[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]

Step-by-step explanation:

[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]

The value of x from the given linear function is 15

A linear function is a function hat has a leading degree of 1

Given the equation below;

2/5x +9 =15

Subtract 9 from both sides

2/5x + 9 - 9 = 15 - 9

2/5x = 15 -  9

2/5x = 6

Multiply both sides by 5

2/5x (5) = 6(5)

2x = 30

x = 15

Hence the value of x from the given linear function is 15

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An inflationary gap occurs when the  SRAS curve and the AD curve intersect Right of the potential GDP line.

With the help of the short-run aggregate supply curve (SRAS), we can understand how each firm in an economy reacts to price stickiness. The SRAS curve will slope upward when prices are volatile. The SRAS curve illustrates that higher price levels lead to increased output.

The demand for and supply of every good and service an economy produces are the main topics of discussion. As a result, the demand for all distinct goods and services is also combined and is known as aggregate demand.

The price level of goods and services would then rise (naturally or as a result of government intervention) to compensate for the increased demand as well as an insufficient supply when an inflationary gap occurs. This price increase is known as demand-pull inflation.

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The monthly installments need to be paid is $10995.

To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.

When you get an installment loan, you get the money you borrowed or the item you bought right away.

Now, as per the question;

Amount paid in cash = $1500

Remaining balance which is to be paid as monthly installments

= $12495 - $1500

=$12495 − $1500

=$10995

Thus, the monthly installments are $10995.

Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.

As a result, information on monthly installments is lacking.

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The complete question is-

What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?

The angles are 19;  101

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Given:

x+4, 9x-34

As, the lines are parallel

x+4 + 9x -34 = 180

10x + 30 = 180

10x = 150

x= 150/10

x=15

Hence, the angles are x+4 = 19; 9x-34 = 135 - 34 = 101

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The weighted average of the given coordinates weights is; 3

We are given that;

Coordinate of -5 has a weight of 3

Coordinate of 3 has a weight of 1

Now, we are given the formula to calculate the weighted average as;

WA = Sum of the Weighted Values/Sum of the Weights

Thus;

WA = ((-5 * 3) + (3 * 1))/(3 + 1)

WA = (-15 + 3)/4

WA = -12/4

WA = -3

We will take the absolute value which is; WA = 3

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Answer:

3.5 un

Step-by-step explanation:

to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7

this is basically dividing 24.5 by 7

24.5 / 7 = 3.5

that is your answer

Answer:

f(8) = 108

Step-by-step explanation:

Hello!

Substitute 8 for x in the equation.

f(8) is 108.

The debt-equity ratio is  0.726 : 1 or 72.64%

Debt is the product of debt ratio and total equity

Debt = debt ratio × total equity

We have been given that

Asset turnover = 1.84

Profit margin = 5.1%

Return on equity of 16.2 percent

Let we have to assume that sales are $100.

Therefore net Income = 100×0.051 = 5.1

Total Assets = 100/0.84

Total Assets = 54.35

⇒ 0.162 = 5.1 / Total equity

⇒ Total Equity = 5.1 / 0.162

⇒ Total Equity = 31.48

Total assets = Total debt + Total equity

⇒ 54.35 = Total debt + 31.48

⇒ Total debt = 54.35 - 31.48

⇒ Total debt = 22.87

The debt-equity ratio = 22.87 / 31.48

The debt-equity ratio = 0.72649 : 1 or 72.649%

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