Find value of x in a hexagon with 2x,3x and x

Answers

Answer 1

Answer:

x = 120°

Step-by-step explanation:

Given the following data;

Angles = 2x, 3x and x

We know that a hexagon has 6 sides and the sum of it's interior angles is equal to 720°

2x + 3x + x = 720

6x = 720

x = 720/6

x = 120°

Check:

2x = 2*120 = 240°

3x = 3*120 = 360°

x = 120°

240 + 360 + 120 = 720°


Related Questions

a3 - c + b, when a=3, b=6, c=8

Answers

Answer:

7

Step-by-step explanation:

In order to find the answer to the equation, you must substitute the given values into the equation.

A^3 - C + B

We know that A = 3, B = 6, and C = 8

(3)^3 - (8) + (6)

9 - 8 + 6

1 + 6

7

At a game show, there are 7 people (including you and your friend) in the front
row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
There are 7C3 = 35 total ways to choose the 3 contestants.
What is the probability that you and your friend are both chosen?
ОА 2/3
O B.
3/35
OC.
2/35
O D.
5/35

Answers

Answer:

There are a total of 5/35 ways that you and your friend are both chosen

Step-by-step explanation:

ap3x

Joe wrote an inequality
for each of the following
statements. Decide whether
Joe's written inequality is
TRUE or FALSE based on
what's typed and compare it
to what he actually wrote.

A
The sum of a number and 7 is not more than 10

x + 7 < 10

B

The product of a number and 4 is at least 20

4X > 20

C
The difference between a 15 and a number is at most 12

15-x>12

D

The quotient of a number and 8 is greater than or equal to

8x <3

Answers

Answer:Please see answer in explanation column

Step-by-step explanation:

A

The sum of a number and 7 is not more than 10

Given answer: x + 7 < 10  , This is false

Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality  is written as

x + 7  ≤ 10

B

The product of a number and 4 is at least 20

Given answer: 4X > 20  ---- False

Reason :At least 20  means at no less than 20 " or " greater than or equal to 20  therefore the correct inequality  is written as

4X ≥ 20

C

The difference between a 15 and a number is at most 12

Given answer: 15-x>12----False

Reason :At most 12  means  " no more than 12 , "  " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality  is written as

15-x  ≤  12

D

The quotient of a number and 8 is greater than or equal to

Given answer 8x <3 --False

Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is  8x  ≥ 3

Simplify. -15 times the square root of y^2 if y>0

Answers

Answer:

-15y

Step-by-step explanation:

The square root of any squared number is always the number itself.

So in this case, it is -15y

Brainliest please. It'll help a lot.

Answer:

- 15y

---------------------------------

Simplify the expression:

[tex]-15\sqrt{y^2}[/tex]

We know the square root is never negative and since y is positive, we get:

[tex]-15\sqrt{y^2} =-15y[/tex]

What is the midline of this function? y=    
What is the amplitude of this function?  
   Define a function, g, to represent the behavior of the graphed function. g(a)= NO LINKS. ​

Answers

Answers:

Midline:  y = 0Amplitude = 1.5Function:  g(x) = 1.5sin(0.5x + pi/4)

There are infinitely many possible ways to answer the third part.

===========================================================

Explanation:

The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.

---------

The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.

---------

The general format of a sine curve is

y = A*sin(B(x-C)) + D

where,

|A| = amplitudeB = variable tied with the period T, specifically B = 2pi/TC = handles the left and right phase shiftD = handles the vertical shifting, and y = D is the midline.

In this case, we found so far that

|A| = 1.5 which could lead to A = 1.5B = 2pi/(4pi) = 0.5 since T = 4pi is the periodD = 0

The only thing we're missing is the value of C, which is the phase shift.

Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2

This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.

So,

B(x-C) = pi/2

0.5(pi/2-C) = pi/2

pi/4 - C/2 = pi/2

4*( pi/4 - C/2 ) = 4*(pi/2)

pi - 2C = 2pi

-2C = 2pi - pi

-2C = pi

C = pi/(-2)

C = -pi/2

This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)

This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.

Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.

Solve on the interval [0,2pi): 1- cos0= 1/2

Answers

Using an inverse trigonometric function, we will find that the solution is:

θ = 1.047

How to solve that equation?

Here we want to solve the equation:

1 - cos(θ) = 1/2

Such that θ ∈  [0,2pi)

Now let's return to our equation:

1 - cos(θ) = 1/2

1 - 1/2 = cos(θ)

1/2 = cos(θ)

Now we could apply the inverse cosine function to both sides, then we will get:

Acos(1/2) = Acos(cos(θ))

1.047 = θ

That is the solution.

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What are terms and common rations ? Can someone explain to me how to solve

Answers

For the arithmetic sequence 4 - 2(n - 1), we have that:

The first term is 4.The second term is 2.The third term is zero.The fourth term is -2.The fifth term is -4.The common difference is -2.

For the geometric sequence 6 x 3^(n - 1), we have that:

The first term is 6.The second term is 18.The third term is 54.The fourth term is 162.The fifth term is 486.The common ratio is 3.

How to model the arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which there is a common difference of the numbers, that is, the subtraction between consecutive terms of the sequence is always constant.

The nth term of an arithmetic sequence is given by the equation presented as follows:

[tex]a_n = a_1 + d(n - 1)[/tex]

In which:

[tex]a_1[/tex] is the first term.d is the common difference.

The sequence in this problem is defined as follows:

4 - 2(n - 1)

Which has first term 4 and common difference -2, hence the terms are:

4, 2, 0, -2, -4, -6 and so on...

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which there is a common ratio of the numbers, that is, the quotient between consecutive terms of the sequence is always constant.

The nth term of a geometric sequence is given by the equation presented as follows:

[tex]a_n = a_1 \times q^{n - 1}[/tex]

In which:

[tex]a_1[/tex] is the first term.q is the common ratio.

The sequence for this problem is given as follows:

6 x 3^(n - 1)

Which has first term of 6 and common ratio of 3, hence the terms are given as follows:

6, 18, 54, and so on...

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b.) Suppose the Governor of Louisiana decided that all license plates must begin with the
letter A on each license plate. How many fewer license plates would
Louisiana be able to issue using the Governor's mandate for license plates?

Answers

Answer: atleast alot

Step-by-step explanation:

What is the solution of the system of equations? Show your work.
4x - 2y = 10
2x + y = -3

Answers

Answer:

no solutions

Step-by-step explanation:

you have to divide the whole first equation by 2 and you would get

2x+y=5

2x+y=-3

That is not true the same thing can’t have different outcomes.
it is no solution

A 45°-45°-90° triangle has a hypotenuse that is
[tex]16 \sqrt{2} [/tex]cm long. Each leg of the triangle is ___ cm long.


Answers

Answer:   16

Explanation:

For any 45-45-90 triangle, if each leg is x units long, then the hypotenuse is x*sqrt(2) units long. Comparing that with 16*sqrt(2) must mean x = 16.

Answer : 16

Explanation :

tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table


Girls Boys Total

blank blank 8

6 blank blank

blank 20 blank

30 blank blank

300 500 800

blank 800 blank

Answers

The complete table is given in the solution.

What is ratio?

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride

The ratio of girls to boys = 3:5

Therefore, The complete table is as follows:-

    Girls                                     Boys                                     Total

     3                                             5                                             8

     6                                             10                                           16

     12                                            20                                          32

     30                                           50                                          80

     300                                         500                                      800

     480                                         800                                      1280

Hence, the complete table is above

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Four gallons of paint are used to paint 25 chairs. If each chair used the same amount of paint, how many gallons are used to paint each?

Answers

Answer:

0.16 or 0.2 if rounded

Step-by-step explanation:

4 gallons divided by 25 chairs equals 0.16 gallons for each chair

hope this helps <3

What is the equation of a line with a slope of 3 and a point (3. 1) on the line? Express the equation in the form of y Enter your answer in the box mz+ b where m is the slope and b is the y-intercept

Answers

A line with a slope of three and the point three on the line have the equation y=3 z+1. The equation of a straight line can be found using the formula y = mx + b.

What do you meant by y-intercept ?

If a line has a slope of 3 and a y intercept of 1, you need to determine its equation. Remember the line's equation by first going back: when y=mz+b , M is the slope, and Y-intercept b is the value.

In order to solve for y in the equation y=m z+b, all you need to do is swap out m for 3, the slope you provided, and b for 1, the y-intercept. The line's equation is given by y=3 z+1, where z represents the line's y-intercept and slope. If you are aware of the slope of the line being studied and the provided point is also the y intercept, you can utilise the slope intercept formula, y=mx+b (0,b).

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pls help last test of semester half my grade please complete entire table i give brainliest

Answers

y=6(-4)-1
y=-24-1
y=-25

y=6(0)-1
y=0-1
y=-1

y=6(6)-1
y=36-1
y=35

John found the solution to the system of linear and quadratic equations. What did he do wrong?​

Answers

Answer:

It is wrong because John forgot another solution. You can see that the line and the quadratic intersect at (5,14) too.

Does anyone know the answer to this

Answers

Answer:

no what grade is it I'm so confused

What is the slope of the line through (2, -1) and (-2, -3)?

Answers

The slope of the line is 1/2
The slope would be..1/2!!

The mean high temperature for 36 days in July in Detroit, Michigan was 88 degrees with a standard deviation of 6 degrees. The mean high temperature in Hilton Head, South Carolina for 49 July days was 91 degrees with a standard deviation of 7 degrees. At the .05 significance level, can we conclude that it is warmer in Hilton Head?

Answers

Answer:

dogwater literally free so freeee!!!!

Step-by-step explanation:

Given A(0, a) and B(b, 0) , find coordinates of C so that the orthocenter of triangle ABC lies on the triangle.

Answers

The coordinate of the point C is (0, a)

How to determine the coordinates of point C

From the question, we have the following parameters that can be used in our computation:

A = (0, a)

B = (b, 0)

As a general rule, the orthocenter of a triangle is a point located at the intersection of the lines containing the altitudes of the triangle.

This means that we start by calculating the equation of the altitude from B to line AC.

A linear equation is represented as

y = mx + c

Where

slope = m

y-intercept = c

Using the above as a guide, we have the following:

slope = (y₂ - y₁)/(x₂ - x₁)

This gives

m(BC) = (0 - 0)/(b - 0) = 0

y-intercept (c) = a

So the equation of the line BC is

y = 0 * x + a

y = a

For line AC, we have

m(AC) = (a - 0)/(0 - 0) = a/0 = undefined.

This means that the equation of the line AC is

x = 0

The equation x = 0 implies that the x-coordinate is always 0, irrespective of the y-coordinate e.g. (0, a)

At this stage, we have the coordinates of the points from lines AC and BC to be

(0, a) and (0, a)

Next, we calculate the C as follows

C = Midpoints of (0, a) and (0, a)

This gives

C = 1/2 * (0 + 0, a + a)

Evaluate

C = (0, a)

Hence, the coordinate of C is (0, a)

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Eli shows that triangle A is congruent to triangle B by rotating triangle A around point
K and then translating it so it matches up with triangle B exactly. Which conclusion
can be drawn from Eli's transformations?

Answers

Answer:

All Sides are equal to their corresponding ones [SK = BG and so on...]

All angles are equal to thei corresponding angles [angle(T) = angle(I) and so on..]

(C.P.C.T)

Step-by-step explanation:

From the given figure, ignoring the fact that she rotated it, we can prove that the two triangles are congruent by RHS congruence criterion.

After proving so, we can use C.P.C.T to find the relations.

Hope it helps. Thank you :)

Find the volume of the figure below

Answers

Answer:

volume = 483 cm³

Step-by-step explanation:

area of trapezoid = 1/2(6 + 17)(8.4) = 96.6 cm²

volume = 96.6 x 5 = 483 cm³

Help me out.....please

Answers

Answer:

2.5

Step-by-step explanation:

the radius is half of a diameter so

radius = 5/2 = 2.5 inches

Answer:

2.3

Step-by-step explanation:

eva invest $120 at a rate of 3% per year compound interest. calculate the total amount eva has after 2 years

Answers

Answer:

Eva has $127.31 after 2 years.

Step-by-step explanation:

Here is the formula for compound interest

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the initial amount, [tex]r[/tex] is the interest rate as a decimal, [tex]n[/tex] is the number of times the interest applied per time period, and [tex]t[/tex] is the number of time periods.

We are given

[tex]P=120\\r=0.03\\n=1\\t=2[/tex]

Substitute our numbers into the equation

[tex]A=120(1+\frac{0.03}{1})^{1*2}[/tex]

[tex]A=120(1.03)^{2}[/tex]

[tex]A=120*1.03^{2}[/tex]

[tex]A=120*1.0609[/tex]

[tex]A=127.308[/tex]

Fast I need thsi for a test I trust you guys pleased

Answers

Answer:

x=12

Step-by-step explanation:

What is a triangle with 2 congruent sides and an obtuse angle

Answers

Answer:What is a triangle with 2 congruent sides and an obtuse angle

Step-by-step explanation:

ale mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 363636 of these male mosquitos and observes them to calculate the sample mean lifespan. What is the probability that the mean lifespan from the sample of 363636 mosquitos \bar x x ˉ x, with, \bar, on top exceeds 101010 days

Answers

Answer:

0.0228 = 2.28% probability that the mean lifespan from the sample exceeds 10 days.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8, standard deviation of 6, sample of 36:

This means that [tex]\mu = 8, \sigma = 6, n = 36, s = \frac{6}{\sqrt{36}} = 1[/tex]

What is the probability that the mean lifespan from the sample exceeds 10 days?

This is 1 subtracted by the pvalue of Z when X = 10. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{10 - 8}{1}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the mean lifespan from the sample exceeds 10 days.

If r=1 and 0=7pi/6, what is the approximate arc length?

Answers

Answer:

3.665

Step-by-step explanation:

Find m∠PQT, where x = m∠PQT

Answers

Answer:

127

Step-by-step explanation:

PR is straight line with the measure of 180 degrees

to find PQT we need to subtract 53 from 180

180 - 53 = 127

help please!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

Not a function

Step-by-step explanation:

A function is when every input(x) has only one output (y).  The input 1 has two outputs (0 and 1) so it is not a function.

The following is a list of books I read this summer what percent of my books were nonfiction nonfiction equals 8 fiction equals 17

Answers

Answer:

About 47% of books were nonfiction.

The actual percentage includes decimals and it would be this:

%47.0588235294

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