What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

x = 62

Step-by-step explanation:

40 + (x + 16) + x = 180 (sum of angles in a triangle=180)

2x + 56 = 180

2x = 124

x = 62


Related Questions

Find the values of x, y, and z. The diagram is not to scale.

Answers

Answer:

x= 68  z= 180  y=38

Step-by-step explanation:

damian bought a new game station for $774 using the stores zero intrest finace plan. He will pay$43 a month for 18 months. Which equation csn he use ti fund out how much money he still owes

Answers

The equation Damian can use to found out how much money he still owes is -

y = - 43x + 774  

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Damian bought a new game station for $774 using the stores zero interest finance plan. He will pay $43 a month for 18 months.

We can represent the equation he can use to found out how much money he still owes using a straight line as follows -

y = 774 - 43x

y = - 43x + 774              [x] is the number of month

Therefore, the equation Damian can use to found out how much money he still owes is -

y = - 43x + 774  

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1. A sign in front of a roller coaster says "You must be 40 inches tall to ride." What percentage of this
height is:
a) 34 inches?
b) 54 inches?

Answers

The required percentage of height of 34 and 54 inches are 85% and 135%.

Given that,
The percentage of the height of 34 inches and 54 inches against the height of 40 inches is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

a,
percentage = 34/40 × 100%
Percentage = 85%

b,
percentage = 54/40 × 100%
Percentage = 135%

Thus, the required percentages of height of 34 and 54 inches are 85% and 135%.

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In the acute triangle ABC with angle ACB = 60°, M is the midpoint of side AB. Points D and E are the height points on sides BC and AC, respectively. Show: The triangle MDE is equilateral

Answers

An equilateral triangle in geometry is a triangle with three equal-length sides. An equilateral triangle has congruent sides, which means that each side is the same length. The triangle MDE is equilateral only because it is midpoint of ACB

Explain about the Acute triangle?

If the square of the longest side is smaller than the sum of the squares of the two smaller sides, the triangle is said to have an acute angle according to Pythagoras's theorem. Given a triangle with sides "a," "b," and "c," with side "a" being the longest, the triangle is steeply angled if "a2" exceeds "b2" plus "c2."

By adding the squares of the triangle's two smaller sides and comparing the result to the square of the largest side, you may determine whether the triangle is acute, right, or obtuse. The triangle is sharp because this total is higher.

Isosceles, equilateral, or scalene acute triangles are all possible. An acute triangle's longest side is located across from its biggest angle.

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Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places.

μ=31 and σ=9; n=64; x¯=30

Answers

The standard score (z-score) of the given sample mean is equal to 7.11

What is a standard score?

A standard score is also referred to as a z-value or z-score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

Mathematically, the standard score of a given sample mean can be calculated by using this formula:

[tex]Z=\frac{\bar{x}\;-\;\mu}{ \frac{\delta}{n} }[/tex]

Where:

Where:

x represents the sample score.u represents the mean point.z represents the standard score.σ represents the standard deviation.n represents the number of samples.

Substituting the given parameters into the formula, we have;

Standard score, z = (30 - 31)/(9/64)

Standard score, z = -1/0.140625

Standard score, z = 7.11

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expand and simplify 3(2x+1)+(x+4)

Answers

First distribute the three and multiply. Then add like terms. Then find GCF.
6x+3+x+4
7x+7
7(x+1)

Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.

Answers

Using polar coordinates, volume of the given solid is, 32√3π.

What is volume of solid?

An object's space requirement is expressed in terms of its volume. The amount of unit cubes required to completely fill the solid is how much it weighs. We have a total of 30 unit cubes in the solid, so the volume is as follows: 2 units 3 units 1 unit Equals 30 cubic units

We have to find the volume of the solid Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4 using polar coordinates.

So, the volume is

[tex]2\int\limits\int\limits_D {\sqrt{16-x^2-y^2} } \, dA[/tex]

[tex]2\int\limits^2^\pi _0 {\int\limits^4_2 {\sqrt{16-r^2} } rdrdtheta[/tex]

[tex]2\int\limits^2^\pi _0 {(-\frac{1}{3})(16-r^2)_2^4 } \, dtheta[/tex]

[tex]2\int\limits^2^\pi _0 {(-\frac{1}{3})(-2\sqrt{3}) } \, dtheta[/tex]

[tex]\int\limits^2^\pi _0 {16\sqrt{3} } \, dtheta[/tex]

[tex]32\sqrt{3}\pi[/tex]

Hence, the volume of the given solid using polar coordinates is, [tex]32\sqrt{3}\pi[/tex].

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Write an equation for line L in point-slope form and slope-intercept form?
L is perpendicular to y=5x
Write an equation for the line L in point - slope form

Answers

The linear equation in the slope-intercept is:

y = (-1/5)*x  - 26/5

And it can be written as:

y = (-1/5)*(x + 1) - 5

How to find the equation for line L?

We can write the equation for line L as:

y = a*x +b

Where a is the slope and b is the y-intercept.

Two lines are perpendicular if the product between the slopes is equal to -1.

So if we want our line to be perpendicular to y= 5x, then we must have:

a*5 = -1

a = -1/5

So our line is something like:

y = (-1/5)*x + b

And the line passes through (-1, -5), replacing these values:

-5 = (-1/5)*-1 + b

-5 = 1/5 + b

-5 - 1/5 = b

-26/5 = b

The linear equation is:

y = (-1/5)*x  - 26/5

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Ted invests in an annuity which earns 6.2% annual interest and he contributes $250 per month for 30 years. If Ted wants to perform some calculations to determine his future value, what formula would Ted use?

Answers

The future value of the annuity investment is expressed in option A

Future Value

The future value formula is used to calculate the future value (FV) of an investment with given inputs of compounding periods (N), interest/yield rate (I/Y), starting amount, and periodic deposit/annuity payment per period (PMT).

The formula can be expressed as

FV = [MP(1 + r/n)^nt - 1] / [r/n]

FV = future valuemp = monthly paymentr = rate n = number of times compounded

We can substitute the values into the equation;

FV = 250[(1 + 0.062/12)^12 * 30] / 0.062 /12

The answer to this question is option A

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Please helppppppppppp

Answers

Answer:

1

2

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x

2

2

x

3

3

]

2

0

=

1

2

[

(

4

2

8

3

)

(

0

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=

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2

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=

1

3

Step-by-step explanation:

What is the range of the given function ?

Answers

The range of the function is y ≤ 3.

What is the range of the function?

The set of a function's potential output values is known as its range.

Given, the graph of the function.

The range of a function is the set of values of y the function can take.

The maximum y value of the function is 3, and the graph is going down both sides infinitely.

Therefore, the range of the function is y ≤ 3.

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What is 8% off of 12$?

Answers

Answer:

11.04 U.S. dollars

Step-by-step explanation:

because it is the answer I looked it up (;-;)

If each standard room cdn fill 2 guests what is the maximum number of guests that all standard rooms can accommodate

Answers

The maximum number of guests that can fill all the standard rooms is twice the number of the standard rooms

How to find the number of guests that can fill the standard rooms

Information from the question

each standard room can fill 2 guests

the maximum number of guests that all standard rooms can accommodate = ?

The problem is solved by multiplication

each standard room (1) = 2 guests

all standard rooms = ?

cross multiplying

? * 1 = 2 * all standard rooms

? = all standard rooms times two

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3. Adam is 20 years younger than Brian. In two years Brian will be twice as old as
Adam is now. How old
are they now? Solve the problem using the elimination method.

Answers

Answer:

Here,

Let the age of Adam be x

and ,Brian be y

so,x=y+20.........eqn 1

and ,2(y+2)=x

or,2y+4=x......eqn 2

Now ,

subtracting eqn1 and eqn 2

so, x=y+20

x=2y+4

- - -

______________

0 = -y+16

so,y=16 and x=y+20 =16+20=36 .

so Adam is 36 years old and brian is 16.

In the first five math quizzes, Patty had an average score of 8. She got a 7 and a 5 on the next two quizzes. After the eighth quiz, her
average stood at 7.5. What was her score on the eighth quiz?
*

Answers

Answer: 8

Step-by-step explanation:

(Sum of first 5 quizzes) / 5 quizzes = 8

Sum of 1st 5 quizzes = 8 x 5 = 40

let x = score on the 8th quiz

(40 + 7 + 5 + x) / 8 = 7.5

52 + x = (7.5)(8) = 60

x = 60 - 52 = 8

In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if there are 11 flavors to choose from and it matters to the person how the 3 flavors are stacked on the one cone? That is, which flavor is on top, middle, and bottom.

Answers

Answer:

I think the answer is 33?

Jeffrey earns a constant hourly rate of $12.25 at the tire shop. Which of these best represents the relationship between the number of hours Joseph worked, h, and his total amount earned, t?

Answers

Answer:

The correct equation is t = 12.25h.

Elena collects data to investigate the relationship between the number of bananas she buys at the store, , and the total cost of the bananas, . Which value for the correlation coefficient is most likely to match a line of best fit of the form for this situation?

Answers

The correlation coefficient that is most likely to match a line of best fit of the form y = mx + b for this situation is of:

0.9.

What is a correlation coefficient?

The correlation coefficient is an index that measures correlation between two variables, assuming numeric values between -1 and 1.

If the correlation coefficient is positive, the relation is positive, that is, they are direct proportional. If the correlation coefficient is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is classified as strong.

In the context of this problem, the variables are listed as follows:

Number of bananas bought.Total price of the bananas.

The total price increases with the number of bananas bought, and there is a strong positive relationship between these two variables, hence the coefficient should be greater than 0.6 and the correct option is:

0.9.

Missing Information

The problem is given by the image shown at the end of the answer.

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I understand it but it won't give me the marks for explaining. What should I try?​

Answers

Answer:

B is never true

Step-by-step explanation:

you can't get a negative number when you have a even power

write an expression using division that could be used to find the width of the rectangle

Answers

The expression used to find the width using division is:

W = A/L

Which expression can be used to find the width?

We know that for a rectangle of width W and length L, we know that the area is given by the product between these two dimensions, then:

A = L*W

We want a expression using division that can be used to find the width, so, suppose we know the values of the area and the length, the we can divide both sides by L to get:

A/L = W

This expression gives the width.

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What is the sum of the first eight terms in this series?

2 + 10 + 50 + 250 + …

Answers

Answer:

195312

Step-by-step explanation:

Using the formula for the sum of a geometric sequence,

[tex]\frac{2(1-(5)^8)}{1-5}=195312[/tex]


Which points are on the axes 5 units from the origin

Answers

Answer: X

Step-by-step explanation:

you just start at 0 since that is the origin and go up 5

lliot and Jack share some money in the ratio . 8:5 Elliot got £21 more than Jack. Work out how much money Elliot received. Elliot received £

Answers

If lliot and Jack share some money in the ratio . 8:5 Elliot got £21 more than Jack. The amount that Elliot received is £56.

How to find the amount received?

Given data;

Sharing ratio 8:5

Amount Elliot got = 21

In order to determine  the amount that Elliot received we need to formulate and equation and then use the formulated equation to find the amount received.

Equation

21 × 8 ÷ (8-5)

Hence,

£21 × 8 ÷ (8-5)

£168 ÷ 3

=  £56

Therefore Elliot received £56.

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what fraction of the numbers from 1 to 20 contain the digit 7

Answers

Answer is 1/10

Reason

We know the numbers that contain the digit 7 between 1-20 are 7 and 17. That means two out of 20 numbers contain the digit 7.
2/20 simplified to 1/10.

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.)

f(x)= 5[tex]\sqrt{x}[/tex], [4,9]

Answers

The value of c by using the mean value theorem is c = 6.25.

What is a mean value theorem?

The mean value theorem in mathematics says that for any given planar arc between two endpoints, there exists at least one point where the tangent to the arc is parallel to the secant between its endpoints. It is one of the most significant findings in the real-world analysis.

 

Given that the function is f(x) = 5√x and the interval is (4,9).

Calculate the value of 'c' as below,

f(x) = 5√x

f(4) = 5√4 = 10

f(9) = 5√9 = 15

Calculate the value of f'(c) as below,

f'(c) = ( f(b) - f(a) ) / (b - a)

f'(c) = f(9) - f(4) / ( 9 - 4 )

f'(c) = (15 - 10 )  / ( 9 - 4)

f'(c) = 1

Again the value of f'(x) is,

f'(x) = 5/2/√x

f'(c) = 5 / 2 / (√c)

5 / 2 / (√c) = 1

√c = 5 / 2

c = 25 / 4

c = 6.25

Therefore, the value of c by using the mean value theorem is c = 6.25.

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Sheila is making accessories for the soccer team. She uses 784.96 inches of fabric on headbands for 28 players and 4 coaches. She also uses 238.28 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer: 3.28 inches

Step-by-step explanation:

Fabric used for players and coaches is 776.32 inches.

Number of players is 29 and coaches is 3

So fabric used for each player and coach for the headbands is

776.32/29+3 = 24.26 inches

So, for the players 24.26 of fabric will be used for the headbands.

Total fabric used for the wristbands is 247.66 inches

Fabric used for the wristband is

247.66/29 = 8.54 inches

So, total amount of fabric used by Shelia for the wristband and headband is 24.26 + 8.54 = 32.8 inches.

PLEASE HELP! ALGEBRA 1 HW I WILL GIVE BRAINLYEST FOR ANSWER!!​

Answers

In the given equation [12.5x + 5y = C] the constant C is always 50 with different given values of x and y.

What do we mean by equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, the values of C are:

Equation: 12.5x + 5y = C

Calculate as follows:

(A) When x = -2 and y = 15.

12.5(-2) + 5(15) = CC = 50

(B) When x = 0 and y = 10.

12.5(0) + 5(10) = CC = 50

(C) When x = 2 and y = 5.

12.5(2) + 5(5) = CC = 50

(D) When x = 4 and y = 0.

12.5(4) + 5(0) = CC = 50

Therefore, in the given equation [12.5x + 5y = C] the constant C is always 50 with different given values of x and y.

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An airplane travels 3582 kilometers against the wind in 6 hours and 4482 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer: Let us assume speed of jet in still air =x

speed of wind =y

Jet flying against the wind

Relative speed of the jet = speed of jet in still air -speed of the wind=x-y

distance covered =3426

time =6 hours

distance = speed * time

3426=(x-y)*6

x-y =3426/6

x-y=571——(1)

Jet flying with the wind

Relative speed of the jet = speed of jet in still air +speed of the wind=x+y

distance covered =4026

time =6 hours

distance = speed * time

4026=(x+y)*6

x+y =4026/6

x+y=671———-(2)

solving 1 and 2 we get

x+y=671

x-y=571

x=621

y=50

speed of jet in the still air =x= 621 miles per hour

Step-by-step explanation:

y5 • y14 =
A. 2y19
B. y60
C. y19
D. 2y60
ALGEBRA

Answers

i believe the answer is D

Select the correct rational numbers.

Answers

-4 2/3 ,-3 2/3, -1 2/3 2/3

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