Find the value of x

Find The Value Of X

Answers

Answer 1

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

x = 12°

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

[tex]\qquad❖ \: \sf \:2x + 6 + 5x + 90 = 180[/tex]

[ by linear pair ]

[tex]\qquad❖ \: \sf \:7x + 6 = 180 - 90[/tex]

[tex]\qquad❖ \: \sf \:7x + 6 = 90[/tex]

[tex]\qquad❖ \: \sf \:7x = 90 - 6[/tex]

[tex]\qquad❖ \: \sf \:7x = 84[/tex]

[tex]\qquad❖ \: \sf \:x = 84 \div 7[/tex]

[tex]\qquad❖ \: \sf \:x = 12[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

[tex]\qquad❖ \: \sf \:x = 12 \degree[/tex]


Related Questions

Definition of economic costs Gilberto lives in San Diego and runs a business that sells pianos. In an average year, he receives $701,000 from selling pianos. Of this sales revenue, he must pay the manufacturer a wholesale cost of $420,000; he also pays wages and utility bills totaling $247,000. He owns his showroom; if he chooses to rent it out, he will receive $9,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Gilberto does not operate this piano business, he can work as a financial advisor, receive an annual salary of $32,000 with no additional monetary costs, and rent out his showroom at the $9,000 per year rate. No other costs are incurred in running this piano business.

Answers

The wholesale cost for the pianos that Tim pays the manufacturer, wages and utility bills that Tim pays are counted as explicit cost. On the other hand, the salary that Tim could earn if he worked as an accountant and the rental income that Tim could earn from renting his showroom fall under implicit cost.

Difference between Implicit Cost and Explicit Cost:

These two expenses, implicit cost and explicit cost, both represent company activity. The connection between cost and business is what distinguishes these two.

An explicit cost is one that the owner bears directly; an implicit cost is one that the owner bears indirectly without paying or utilizing its own resources. However, the organization or corporation takes into account both expenses while making management decisions.

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f(x)=x3 −4x even odd or neither

Answers

Answer:

The function would be odd

The answer is neither.

Let's take an odd number and substitute.

f(3) = 3³ - 4(3)f(3) = 27 - 12f(3) = 15 (odd)

Now, let's take an even number.

f(4) = 4³ - 4(4)f(4) = 64 - 16f(4) = 48 (even)

Since both even and odd numbers are possible, it is neither.

What is the range of the function f(x) = 2x^2 + 2 over the interval of -2 ≤ x < 5?

Answers

Answer:

10 ≤ f(x) < 52

Step-by-step explanation:

the range is the values of f(x) given by the domain - 2 ≤ x < 5

substitute the end points of the interval into f(x)

f(- 2) = 2(- 2)² + 2 = 2(4) + 2 = 8 + 2 = 10

f(5) = 2(5)² + 2 = 2(25) + 2 = 50 + 2 = 52

then range is 10 ≤ f(x) < 52

Given that a function, g, has a domain of -20 < x < -5 < g(x) <45 and that g(0)= -2 and g(-9)= 6, select the statement that could be true for g.

Answers

The given statement that's true about the function is g(-13) = 20 is true for g.

How to illustrate the function?

From the information given, the function, g, has a domain of -20 < x < -5 < g(x) <45 and that g(0)= -2 and g(-9)= 6.

Let's analyze the options that are given in the scenario. g(7) = -1. It should be noted that 7 isn't in our domain. Therefore, this isn't possible.

g(-13) = 29

x = 13 is in our domain and 20 is also is in our range. Therefore, this is true for g.

g(0) = 2.

This isn't true because it is given that g(0) = 2

In conclusion, the given statement that's true about the function is g(-13) = 20 is true for g.

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Write a quadratic function fwhose zeros are 2 and 8.
f(x) = 0

Answers

Factored Form:
f(x) = (x - 2) (x - 8)

Standard Form:
f(x) = x^2 - 10x + 16

taking test needing answers asap

Answers

Answer:

(4,8)

Step-by-step explanation:

hihihihihihihihohihih

The sum of a number and seven is six less than four times the number. Write an algebraic equation and solve to find the number.

Answers

Answer:

13/3 or 4.333

Step-by-step explanation:

Let the number be x

the sum of x and 7 is 6 less than 4x, giving the equation: x+7+6 = 4x

Solve:

x+7+6 = 4x

x+13 = 4x

13 = 3x

x = 13/3

An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $170 and the lower-priced speaker dock sells for $80. Last week the store sold four times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $4,410. How many lower-priced speaker docks did it sell?

Answers

The lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.

Algebra

Cost of higher-priced speaker = $170Cost of lower-priced speaker = $80Number of lower-priced speaker = 4xNumber of higher-priced speaker = x

Higher-priced speaker = 170 × x

= 170x

Lower-priced speaker = 80 × 4x

= 320x

Total sales = $4,410

170x + 320x = 4,410

490x = 4,410

divide both sides by 490

x = 4,410 / 490

x = 9

So,

Number of lower-priced speaker = 4x

= 4 × 9

= 36

Number of higher-priced speaker = x

= 9

Therefore, the lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.

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For what value of x is the rational expression below equal to zero?
X-4
(x+5)(x-1)
IOA. 4
OB. 1
O C. -4
OD. -5

Answers

Answer:

A

Step-by-step explanation:

x - 4 / (x + 5)(x - 1)

let's expand:

x - 4 / x² + 4x - 5

4 - 4 / 16 + 16 - 5 = 0 so answer is 4

-|8-15| what is the answer

Answers

Answer:

-7

Step-by-step explanation:

8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.

Soo yeah -6 or -7 yeah i think it was -7

if a rectangular piece of metal has 27.75 square inches what is the length and width?

Answers

The maximum area of a rectangular piece of metal with perimeter of 27.75 in² has length of 6.9375 in and width of 6.9375 in.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width. hence:

Perimeter = 2(x + y)

27.75 = 2(x + y)

y = 13.875 - x

Area (A) = xy

A = x(13.875 - x)

A = 13.875x - x²

Maximum area is at A' = 0, hence:

A' = 13.875 - 2x

13.875 - 2x = 0

x = 6.9375

y = 6.9375

The maximum area of a rectangular piece of metal with perimeter of 27.75 in² has length of 6.9375 in and width of 6.9375 in.

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Which answer choice shows that the set of irrational numbers is not closed under addition? π+(-π)=0
1/2+(-1/2)=0
π+π=2π
1/2+1/2=1​

Answers

Answer:

  (a)  π + (-π) = 0

Step-by-step explanation:

You want a counterexample for the statement that irrationals are closed under addition.

Closed set

A set is closed under addition if adding members of the set always results in a member of the set.

π + (-π) = 0

This shows that adding members of the set can result in a rational number. This is the counterexample you're looking for.

(1/2) + (-1/2) = 0

Irrelevant. 1/2 is rational, so is not a member of the set of irrationals.

π + π = 2π

An example of a sum that is an element of the set. This is not a counterexample.

(1/2) +(1/2) = 1

Irrelevant. 1/2 is rational, so is not a member of the set of irrationals.

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Find the inverse of function f. F(c) = 9x + 7

Answers

Answer:

(x-7)/9

Step-by-step explanation:

F(c) = 9x + 7

y = 9x + 7  Now switch the y and the x and solve for y

x = 9y + 7  Subtract 7 from both sides

x - 7 = 9y  Divide both sides by 9

(x-7)/9

Which statement is not true for​ goodness-of-fit tests? Question content area bottom Part 1 A. Expected frequencies must be whole numbers. B. Observed frequencies must be whole numbers. C. The observed frequency is found from sample data values. D. The expected frequency is found assuming that the distribution is as claimed.

Answers

The  statement that is not true for​ goodness-of-fit tests is: A. Expected frequencies must be whole numbers.

What is Goodness-of-fit tests?

Goodness-of-fit tests can be defined as the test conducted to help find out whether the observe value work hand in hand with expected value or the observe value is different from the expected value.

The statement is not true because it is not must for expected frequencies  to be whole number  despite the fact that expected  frequencies are whole numbers.

Therefore the  statement that is not true for​ goodness-of-fit tests is: A. Expected frequencies must be whole numbers.

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Admission into an amusement park for 4 children
and 2 adults is $116.90. For 6 children and 3 adults,
the admission is $175.35. Assuming a different price
for children and adults, what is the price of the child's
ticket and the price of the adult ticket?

Answers

Answer:

A child ticket costs $16.50 and an adult ticket costs $25.45.

It is found that the child ticket costs $16.50 and an adult ticket costs $25.45.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that  4 children and 2 adults are $116.90. For 6 children and 3 adults, the admission is $175.35.

Assuming a different price for children and adults,

Let the children are x and the adult is y.

Therefore,

4x + 2y = 116.90

6x + 3y = 175.35

Hence, the child ticket costs $16.50 and an adult ticket costs $25.45.

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The average speed of a car on a stretch of interstate is 70 miles per hour. Convert this rate to feet per second.

Answers

Answer:

102. 66 feet / Second

Step-by-step explanation:

To do conversion change miles into feet and hour into second.

One foot is 5280 feet

And an hour is 3600sec

70 miles / Hour

70 * 5280feet / 3600 second

369600 feet / 3600seconds

Then simplify

102. 66 feet / Second

Speed given

70mph

1 mi=5280ft

1h=3600s

So convert

70×5280ft/3600s7×528ft/36s102.67ft/s

which graph represents -5x+3y is equal to or greater than 9

Answers

Answer:

First, transform the given equation into the slope intercept form.

-5x + 3y >= 9

3y >= 5x + 9

y >= 5/3x + 3


Then graph the line y = 5/3x + 3. Draw a solid line with y intercept 3 and slope of 5/3.

Finally, shade everything that is above the line.

What’s the next 3 numbers 0 10 1011 1031 102113 10311213

Answers

The next three numbers here would be 0, 10, 1011, 1031, 102113, 10311213, 10411223, 1031221314, 1041222314.

What is a number sequence

The term number sequence is used to refer to the list of numbers that have the relationship of having a linked rule. The number that follows in the sequence has to be worked out from the previous numbers in that particular sequence. You have to follow the particular rule to be able to work out the number that has to follow in the sequence.

For example we have these numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 etc. We would have to understand the pattern of numbers that are in the sequence. We can see that there is a difference of 3 between the number that succeeds the previous one in the sequence.

How to get the next values in the sequence

The first value here is given to be 0

Next we have the 1 0 = 10

The next that we have is 1 0 and 1 1 written as 1011

Next is 1 zero and three one = 1031

We continue to follow the pattern till we arrive at 1041222314. This is where the sequence would then have to stop.

Hence we have to conclude that the next numbers are 10411223, 1031221314, 1041222314.

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You and Jake are studying together and after correctly solving a system of equations using
the substitution method the result is 3 3. Jake does not know how to interpret this
result.
In at least one complete sentence, explain to Jake the number of solutions, solution type,
and how the graph of the system of equations would look

Answers

Answer: its the 3rd one if im wrong im sorry

:3

Which of the following expressions would simplify to be the multiplicative identity?
023.32
023.23
021
0 20
NEXT QUESTION
ASK FOR HELP

Answers

37 is your answer! glad i helped

need help I don't know the answer

Which one of the following linear inequalities is graphed in the xy plane above

Answers

The linear inequality that is graphed in the xy plane is: C. 2x + 3y ≤ 4.

How to Write the Linear Inequality of a Graph?

Values in the shaded part are the solution of a a linear inequality. Thus, a dotted or dashed line is used on the graph when the inequality sign is either "<" or ">". On the other hand, when a line that is not dotted or dashed is used when the inequality sign is either "≤" or "≥". These lines, dotted or not are the boundary lines.

Also, when the shaded area is above the boundary line, the sign "≥" or ">" is used. When the shaded part is beneath the boundary line, "≤" or "<" is used in the linear inequality.

The graph given has a boundary line that is not dashed or dotted, and also, the shaded part is beneath the boundary line. Therefore, the inequality sign to use is "≤".

Find the slope:

Slope (m) = rise/run = -4/3 / 2 = -4/6

m = -2/3

y-intercept (b) = 4/3.

Substitute m = -2/3 and b = 4/3 into y ≤ mx + b:

y ≤ -2/3x + 4/3

Rewrite

3y ≤ -2x + 4

2x + 3y ≤ 4

The answer is: C. 2x + 3y ≤ 4.

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What is the domain of the relation graphed below?

Answers

The domain of the relation shown in the graph is -4 <= x <= 4

How to determine the domain of the relation shown in the graph?

The relation on the graph is an ellipse function.

The domain is the set of x values the function can take


From the graph, we have the following x values

Minimum x value = -4Maximum x value = 4

This means that the domain of x in the graph is -4 <= x <= 4

Hence, the domain of the relation shown in the graph is -4 <= x <= 4

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what is the length of the hypotenuse of a right triangle whose legs have lengths 12 cm and 16 cm?

Answers

Hello there! The length of the hypotenuse of a right triangle whose legs have lengths 12 cm and 16 cm is 20 cm, or the square root of 400 cm.

In Pythagorean Theorem, the hypotenuse of a right triangle is always the longest side and is representative of a variable we know as c^2, or c squared. Since we know that the right triangle in this problem has lengths 12 cm and 16 cm, we know that a^2 equals 12 squared and b^2 equals 16 squared. Because the formula for Pythagorean Theorem is a^2 + b^2 = c^2, we can write our problem out:

12^2 + 16^2 = c^2

12^2 (or 12 squared) equals 144 since 12 x 12 = 144

16^2 (or 16 squared) equals 256 since 16 x 16 = 256

Since we know what a squared and b squared equal, we can add them to find what our hypotenuse squared is.

144 + 256 = 400

We now know that our hypotenuse squared equals 400. To find c, we can simply find the square root of 400. You can keep this question in mind when doing it: “What number can be multiplied by itself to get 400?”

When calculating, we will find that the square root of 400 is 20. To verify, we can multiply 20 by itself to see what we get.

20 x 20 = 400

Our equation is true! Therefore, here is your final equation:

12^2 + 16^2 = 20^2

The length of the hypotenuse is 20 cm. If you need any extra help, let me know and I will gladly assist you.

Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250

Answers

There is no mode in these scores listed.

Mode is if a number appears twice. Like 4 and 4.

please help me with these calculus bc questions

Answers

4. Compute the derivative.

[tex]y = 2x^2 - x - 1 \implies \dfrac{dy}{dx} = 4x - 1[/tex]

Find when the gradient is 7.

[tex]4x - 1 = 7 \implies 4x = 8 \implies x = 2[/tex]

Evaluate [tex]y[/tex] at this point.

[tex]y = 2\cdot2^2-2-1 = 5[/tex]

The point we want is then (2, 5).

5. The curve crosses the [tex]x[/tex]-axis when [tex]y=0[/tex]. We have

[tex]y = \dfrac{x - 4}x = 1 - \dfrac4x = 0 \implies \dfrac4x = 1 \implies x = 4[/tex]

Compute the derivative.

[tex]y = 1 - \dfrac4x \implies \dfrac{dy}{dx} = -\dfrac4{x^2}[/tex]

At the point we want, the gradient is

[tex]\dfrac{dy}{dx}\bigg|_{x=4} = -\dfrac4{4^2} = \boxed{-\dfrac14}[/tex]

6. The curve crosses the [tex]y[/tex]-axis when [tex]x=0[/tex]. Compute the derivative.

[tex]\dfrac{dy}{dx} = 3x^2 - 4x + 5[/tex]

When [tex]x=0[/tex], the gradient is

[tex]\dfrac{dy}{dx}\bigg|_{x=0} = 3\cdot0^2 - 4\cdot0 + 5 = \boxed{5}[/tex]

7. Set [tex]y=5[/tex] and solve for [tex]x[/tex]. The curve and line meet when

[tex]5 = 2x^2 + 7x - 4 \implies 2x^2 + 7x - 9 = (x - 1)(2x+9) = 0 \implies x=1 \text{ or } x = -\dfrac92[/tex]

Compute the derivative (for the curve) and evaluate it at these [tex]x[/tex] values.

[tex]\dfrac{dy}{dx} = 4x + 7[/tex]

[tex]\dfrac{dy}{dx}\bigg|_{x=1} = 4\cdot1+7 = \boxed{11}[/tex]

[tex]\dfrac{dy}{dx}\bigg|_{x=-9/2} = 4\cdot\left(-\dfrac92\right)+7=\boxed{-11}[/tex]

8. Compute the derivative.

[tex]y = ax^2 + bx \implies \dfrac{dy}{dx} = 2ax + b[/tex]

The gradient is 8 when [tex]x=2[/tex], so

[tex]2a\cdot2 + b = 8 \implies 4a + b = 8[/tex]

and the gradient is -10 when [tex]x=-1[/tex], so

[tex]2a\cdot(-1) + b = -10 \implies -2a + b = -10[/tex]

Solve for [tex]a[/tex] and [tex]b[/tex]. Eliminating [tex]b[/tex], we have

[tex](4a + b) - (-2a + b) = 8 - (-10) \implies 6a = 18 \implies \boxed{a=3}[/tex]

so that

[tex]4\cdot3+b = 8 \implies 12 + b = 8 \implies \boxed{b = -4}[/tex].

Find the coordinates of the image point for S(−11, 2) across y = 1.

Answers

Answer:

(11,0)

Step-by-step explanation:

NO LINKS! Please help me with this problem​

Answers

Answer:

x=70, y=55

Step-by-step explanation:

Since the angle "y" and 2x-15 form a straight line, that means the sum of the angles, must be 180 degrees.

So using this we can derive the equation: [tex]y+2x-15=180[/tex]

The next thing you need to know is that the sum of interior angles of a triangle is 180 degrees, so if we add all the angles, we should get 180.

So using these we can derive the equation: [tex]x+2y=180[/tex]

So, in this case we simply have a systems of equations. We can solve this by solving for x in the second equation (sum of interior angles), and plug that into the first equation.

Original Equation:

[tex]x+2y = 180[/tex]

Subtract 2y from both sides

[tex]x = 180-2y[/tex]

Now let's plug this into the first equation

[tex]y+2x-15=180[/tex]

Plug in 180-2y as x

[tex]y+2(180-2y)-15=180[/tex]

Distribute the 2

[tex]y+360-4y-15=180[/tex]

Combine like terms

[tex]-3y + 345 = 180[/tex]

Subtract 345 from both sides

[tex]-3y = -165[/tex]

Divide both sides by -3

[tex]y=55[/tex]

So we can plug this into either equation to solve for x

[tex]x+2y=180[/tex]

Substitute in 55 as y

[tex]x+2(55)=180[/tex]

[tex]x+110=180[/tex]

Subtract 110 from both sides

[tex]x=70[/tex]

Answer:

  x = 70°

  y = 55°

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair can be used to write two equations in the two unknowns. Those can be solved for the angle values.

Setup

  x + y + y = 180° . . . . . . angle sum theorem

  y + (2x -15) = 180° . . . . definition of linear pair

Solution

We can use the first equation to write an expression for x that can be substituted into the second equation:

  x = 180 -2y

  y +(2(180 -2y) -15) = 180 . . . . substitute for x

  345 -3y = 180 . . . . . . . . . . . collect terms

  115 -y = 60 . . . . . . . . . . . . .divide by 3

  y = 55 . . . . . . . . . . . . . . add (y-60)

  x = 180 -2(55) = 70

The values of the variables are ...

  x = 70°

  y = 55°

  exterior angle = 125°

The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company.

Text
Message Instant
Message Phone Call Email Total
0 to 7 years 36 49 8 21 114
8 or more years 12 22 19 43 96
Total 48 71 27 64 210

What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication?

A.
48.84%
B.
20.48%
C.
67.19%
D.
44.79%

Answers

Using it's concept, the percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is:

D. 44.79%.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = a/b x 100%

In this problem, there are 96 employees with 8 or more years of experience, of which 43 prefer email, hence the percentage is:

P = 43/96 x 100% = 44.79%.

Hence option D is correct.

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50% is what percent of 40%?

Answers

Answer:

125%

Step-by-step explanation:

[tex] \frac{50}{100} \times 40[/tex][tex] = 125\%[/tex]

Which expression represents seven less than the product of thirteen times a number, and two squared?

(13x + 22) · 7

7(13x · 22)

7 + 13x + 22

7 + 13x · 22

(13x · 22) − 7

Answers

Seven less than the product of thirteen times a number, and two squared is as follows;

(13x × 2²) - 7

How to represent an expression?

The expression says  seven less than the product of thirteen times a number, and two squared.

Let

the number  = x

Hence, the product of thirteen times a number, and two squared is as follows:

13(x)(2²)

Therefore,  seven less than the product of thirteen times a number, and two squared is as follows;

(13x × 2²) - 7

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