Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?

Consider The Hexagon ABCDEF What Is The Value Of X? What Is The Measure Of Angle A? What Is The Measure

Answers

Answer 1

Answer:

x = 52.5

<A = 152.5°

<BCG = 45°

Step-by-step Explanation:

Sum of interior angles of n-sided polygon = (n - 2)180

Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°

Therefore, sum of all the interior angles in the given hexagon = 720.

Thus:

3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720

Solve for x. Add like terms.

8x + 300 = 720

Subtract 300 from both sides

8x = 720 - 300

8x = 420

Divide both sides by 8

8x/8 = 420/8

x = 52.5

<A = (3x - 5)

Plug in the value of x

<A = 3(52.5) - 5 = 152.5°

<BCG = 180 - (2x + 30) (angles on a straight line)

Plug in the value of x

<BCG = 180 - (2(52.5) + 30)

<BCG = 180 - (105 + 30)

<BCG = 180 - 135

<BCG = 45°


Related Questions

two numbers or expressions that have been the same value are

Answers

Answer:

equivalent

Step-by-step explanation:

Equivalent means equal so equivalent expressions equal the same value.

Simplify the expression:
27
simplifying square roots

Answers

Answer:

3^2

Step-by-step explanation:

3x3x3 = 27

Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.

Answer:

3 by the power of 2

Step-by-step explanation:

Question 1: The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 31 technicians using the old method and the other 46 technicians using the new method. For the 31 technicians using the old method, the average time was 525 minutes with 47.7 standard deviation. For the 46 technicians using the new method, the average time was 520 minutes with 48.2 standard deviation. Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the test statistic value.


Question 2:

The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 39 technicians using the old method and the other 55 technicians using the new method.

For the 39 technicians using the old method, the average time was 582 minutes with 63.8 standard deviation.
For the 55 technicians using the new method, the average time was 542 minutes with 97.8 standard deviation.
Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.

Answers

Answer:

Question 1  

The test statistics is  [tex]t = 0.44[/tex]

The decision rule is

 Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Question 2

The degree of freedom is  [tex]df = 92 [/tex]

The decision rule is

Reject the null hypothesis  

The conclusion

There is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Explanation:

Considering Question 1

Here we are told to provide the test statistics

From the question we are told that

  The first sample size is  [tex]n_1 = 31[/tex]

  The second  sample size is  [tex]n_ 2 =  46[/tex]

   The first sample mean is  [tex]\= x_1 = 525 \ minutes[/tex]

    The first standard deviation is  [tex]\sigma_1 =  47.7[/tex]

    The second sample mean is  [tex]\= x_2 = 520 \ minutes[/tex]

   The second standard deviation is  [tex]\sigma_2 =  48.2[/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 31 + 46  -2[/tex]

=>    [tex]df = 75 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 525-  520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]

=> [tex]t = 0.44[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 75[/tex]

    [tex]P(t > 0.44 ) = 0.33060124 [/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.33060124[/tex]

=>   [tex]p-value  =  0.66120[/tex]      

From the value obtain we see that [tex]p-value  >  \alpha[/tex] hence we fail to reject the null hypothesis

The conclusion is that there is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Considering Question 2

Here we are told to provide the degree of freedom

From the question we are told

    The first sample size is  [tex]n_1 = 39[/tex]

     The first sample mean is  [tex]\= x_1 = 582 \ minutes[/tex]

     The first standard deviation is  [tex]\sigma_2 =  63.8[/tex]

     The second sample size is  [tex]n_ 2 =  55[/tex]

     The second sample mean is  [tex]\= x_2 = 542 \ minutes[/tex]

     The second standard deviation is  [tex]\sigma_2 =  97.8 [/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 39 + 55  -2[/tex]

=>    [tex]df = 92 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 582 -  542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]      

=>  [tex]t = 2.398[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 92 [/tex]

    [tex]P(t > 2.398 ) = 0.00925214[/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.00925214[/tex]

=>   [tex]p-value  =  0.0185[/tex]      

From the value obtain we see that [tex]p-value  <  \alpha[/tex] hence we reject the null hypothesis

The conclusion is that there is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

convert 0.00633 to a scientific notation

Answers

Answer:

6.33 × 10⁻³

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.

Answer:

6.33 × 10[tex]^{-3}[/tex]

Step-by-step explanation:

** The negative three is supposed to be an exponent **

6m + 4n + 3m - 6

What are the coefficient[s]? Separated them with a comma

Answers

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

9. Show that the polygons
are congruent by using
rigid motions and by
identifying all the
congruent corresponding
parts. Then write a
congruence statement.

Answers

Rigid motions are, exclusively, rotations, reflections, and translations. If you can move one polygon onto the other by using only those motions, they are congruent. One pentagon can, for example, be translated onto another pentagon, making them congruent. If, after being translated, point A is on point F and B on G and C on H and D on I and E on J, the congruence statement is: [tex] ABCDE\cong FGHIJ.[/tex]

select all of the lines that have a slope of 2/5

Answers

Need a little more information

the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.

Which is a correct way to subtract from a number? (A). Add 100 then subtract 1 (B). Add 100 then add 2. (C). Subtract 100 then add 2 (D). Subtract 100 then add 1.

Answers

Answer:

A is the answer

Step-by-step explanation:

According to BODMAS (or DMAS), first we add and then subtract

if both operations are of add, we add it at the same time

This polynomial is in descending order for the variable x.

Answers

Answer:

False. It's not in the descending order for variable x.

Step-by-step explanation:

Given polynomial is,

-15x⁵y + 13x²y⁴ - x⁸

'x' is a variable in the given polynomial.

Order or degree of term x⁸ = 8

Order of term -15x⁵y = 5

Order of term 13x²y⁴ = 2

Descending order for the variable x will be,

8 > 5 > 2

So the descending order for the variable 'x' will be,

-x⁸ - 15x⁴y + 13x²y⁴

Therefore, Option (1) False is the correct option.

Solve for j if aj+k=v

Answers

Answer:

j=v-k/a

Step-by-step explanation:

It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.

Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over​

Answers

Answer:

You will have .38 feet left of string

Step-by-step explanation:

Just subtract the numbers

Have a good day!

Answer:

0.38

Step-by-step explanation:

4.25-3.87=0.38

PLZPLZPLZPLZHELPHELPHELPASAP!!

Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B.


1. 4 inches by 2.5 inches

2. 15 inches by 10 inches

3. 24 inches by 15 inches

4. 9 inches by 6 inches

Answers

Answer:

uhhhhhhhhhhhhhhhhhhh

If p = 5, q = 4, and r = 1, what is the value of p - r ?

a. 3
b. 4
c. 6
d. 1

Answers

The answer is 4

We can replace p with 5 and r with 1, this will lead us with 5 - 1.
b. 4

If p=5 and R= 1 then 5-1=4

A high definition radio station charges $200 per year in addition to $50 per month for
the first 3 months to receive its broadcast.

Answers

Answer:

4

Step-by-step explanation:

What is the value of a?



a–2=3+6a3



Enter your answer in the box.

Answers

That's what I got, not sure if it was what you were looking for.

Answer:

-5

Step-by-step explanation:

Is the Answer

According to modern science. Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose you represent the entire history of Earth by 12 hours on a clock, with the birth of Earth at the stroke of midnight and today at the stroke of noon. How long before noon does written human history begin?

Answers

Answer:

11:59:59. Human history can be represented as only less than one second in a 12 hour clock.

Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving

What do the points on the graph mean in this context? Select all that apply.

For every 3 cups of fruit, there is 1 cup of nuts.

For every 1 cup of fruit, there are 3 cups of nuts.

For every 2 cups of fruit, there are 6 cups of nuts.

For every 6 cups of fruit, there are 2 cups of nuts.

For every 12 cups of fruit, there are 4 cups of nuts.

Answers

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

Suppose you have 24 CDs. You know that you have 7 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has.

a. 24 + 7 = n; 31
b. 24 + n = 7; –17
c. n + 7 = 24; 17
d. n – 7 = 24; 31

Answers

It’s c hope this helped

Someone please help!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Step 1: Define

xy + |-49/1|(-1)

x = 7

y = 8

Step 2: Simplify

xy + |-49|(-1)

xy + 49(-1)

xy - 49

Step 3: Substitute and Evaluate

7(8) - 49

56 - 49

7

Answer:

7

Step-by-step explanation:

xy + | -49/1| (-1)

Let x=7 and y = 8

7*8 +  | -49/1| (-1)

56 +  | -49/1| (-1)

The absolute value of -49 is 49

56  +49 (-1)

Multiply

56-49

7

5+(-5)=0 identify the property

Answers

Answer: Additive Inverse

Step-by-step explanation: The Additive Inverse tells us that if we add

a number and the opposite of that number, the result will be 0.

What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!

Answers

positive or negative

Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi 2 charges $1.77 per kilometer. Determine how much a 12 mile ride will cost in each taxi. There are 1.61 kilometers in every mile.(1 point) A 12 mile ride in Taxi 1 costs $34.20, and in Taxi 2 it costs $36.00 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $13.19 A 12 mile ride in Taxi 1 costs $34.00, and in Taxi 2 it costs $34.20 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20

Answers

Answer:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.

Step-by-step explanation:

Given that:

Charges of taxi 1 = $3.00 per mile

Charges of taxi 2 = $1.77 per kilometer

1 mile = 1.61 kilometers

To find:

Cost of a 12 miles ride for taxi 1 and taxi 2.

Solution:

Let us first convert the charges of each taxi to per mile.

Taxi 1 charges are already given in per mile.

Charges for 1 mile = $3

Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36

Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile

Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20

Therefore, the answer is:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.

A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation
of 8 points.
What proportion of exam scores are between 82 and 89.2 points?
You may round your answer to four decimal places.

Answers

Answer: .3330

Step-by-step explanation:

The proportion of exam scores are between 82 and 89.2 points is 0.3330.

What is standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When comparing data sets that may have the same mean but a different range, it is helpful.

The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.

Given:

mean = 83.2 points and

standard deviation = 8 points.

So, the proportion is

P(82 ≤ x ≤ 89.2)

=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)

=P (0.75) - P(-0.15)

=0.7734 -(0.4404)

= 0.3330

Learn more about standard deviation here:

https://brainly.com/question/13905583

#SPJ2

Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.

Answers

Answer:

A) 8 feet.

B) 72 feet

Step-by-step explanation:

We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.

Part A)

We want to find the initial height of the rocket when it was shot.

At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.

Therefore, to find the initial height, we will substitute 0 into our function. This yields:

[tex]f(0)=-16(0)^2+64(0)+8[/tex]

Evaluate:

[tex]f(0)=8[/tex]

Therefore, the initial height was 8 feet.

Part B)

Notice that our function is a quadratic.

Therefore, the maximum height will be given by the vertex of our quadratic.

To find the vertex, we use:

[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]

Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]

Therefore, a=-16, b=64, and c=8.

Substitute them into the vertex formula to find the x-coordinate:

[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]

Now, to find the maximum height, substitute 2 back into our function f(x):

[tex]f(2)=-16(2)^2+64(2)+8[/tex]

Evaluate:

[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]

Therefore, the rocket reaches a maximum height of 72 feet.

Ms. Sanches and Mr. Brown went to Chuckie Cheese’s. Ms. Sanches had 567 tokens, and Mr. Brown had 432 tokens. Rounded to the nearest hundred, how many more tokens did Ms. Sanches have than Mr. Brown?

Answers

Answer:

Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown

Step-by-step explanation:

567=600 (rounded)

432=400 (rounded)

600-400=200 tokens

What might be the result of sharing a link if it is pseudopsychology instead of accurate psychological science?
You would be unintentionally sharing inaccurate information.
You might get credit for the information in the article.
You would have an article you could cite for a class project,
You will find good evidence to back up the headline in the article
Submit
W

Answers

Answer:

You would be unintentionally sharing inaccurate information.

Step-by-step explanation:

i just read the book

Calculate the difference.

-1 - 7

What​

Answers

Answer:

-1-7 = -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

what is the place value of the 6 in 976.14

Answers

Answer:

represents the one value

Step-by-step explanation:

Ones place

Write an algebraic expression for 27 less than a number.

Answers

Answer:

n-27

Step-by-step explanation:

If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!

Answer:

f - 27

Step-by-step explanation:

we don't know the number that's being subtracted so it would be any integer minus 27

Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?

Answers

Answer:

50%

Step by step explanation

100 divided by 4 is 25

Since it is both blue and black, it is doubled from 25 to 50

Other Questions
Timken rates its bearings for 3000 hours at 500 rev/min. Determine the catalog rating for a ball bearing running for 10000 hours at 1800 rev/min with a load of 2.75 kN with a reliability of 90 percent. In a business environment, in which situation would email be more appropriate for communicating than texting?Sending a message to your supervisor for not able to attend social gathering00Sending a contract to your supervisor for her review and adviceC Sending a message to a friend about meeting at the ballgame later that eveningDSending a message to a co-worker about a special delivery at the front desk 1) 3/7 & -6/7 pls I need answers if 3 kg of beans cost $1.50, how much does 2 kg cost In order to maintain homeostasis, it is MOST important for an animal to be able to? why was the Louisiana purchase such a great mistake for United States? the cost for 25 square yards of carpet is $650. the cost for 40 square yards of carpet is $950 How do you do this. Please someone explain? Read the excerpt from Martin Luther King Jr.'s "I Have a Dream" speech.Five score years ago, a great American, in whose symbolic shadow we stand today, signed the Emancipation Proclamation. This momentous decree came as a great beacon light of hope to millions of Negro slaves who had been seared in the flames of withering injustice. It came as a joyous daybreak to end the long night of their captivity.What is the allusion in this excerpt?Dr. King alludes to the recent achievements of the civil rights movement.Dr. King alludes to America as a land of equal opportunity.Dr. King alludes to the Founding Fathers and America's core values.Dr. King alludes to the wording Lincoln used in the Gettysburg Address. The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour. Choose a function to represent this scenario Put different types of music in order from oldest Which expression is equal to 527.471?*(5x100)+(2x10)+(7x1)+(4x10) + (7x100)+ (1x1,000)(5x100,000)+(2x10,000)+(7x1,000)+(4x100) + (7x10)+ (1x1)(5x100)+(2x10)+(7x1)+(4x1/1) + (7x1/10)+ (1x1/100)(5x100)+(2x10)+(7x1)+(4x1/10) + (7x1/100)+ (1x1/1,000) Below is the Retained Earnings account for the year 2020 for Swifty Corp. Retained earnings, January 1, 2020 $261,300 Add:_______. Gain on sale of investments (net of tax) $44,900 Net income 88,200 Refund on litigation with government, related to the year 2017 (net of tax) 25,300 Recognition of income earned in 2019, but omitted from income statement in that year (net of tax) 29,100 187,500 448,800 Deduct: Loss on discontinued operations (net of tax) 38,700 Write-off of goodwill (net of tax) 63,700 Cumulative effect on income of prior years in changing from LIFO to FIFO inventory valuation in 2020 (net of tax) 26,900 Cash dividends declared 35,700 165,000 Retained earnings, December 31, 2020 $283,800Prepare a corrected retained earnings statement. Waterway Corp. normally sells investments of the type mentioned above. FIFO inventory was used in 2020 to compute net income. (List items that increase adjusted retained earnings first.) PLEASE HELP, WILL MARK BRAINLIEST!The best way to find the volume of an empty bottle is to...a) weigh the bottle and record the mass, then add the water and subtract its mass from that of the empty bottleb) fill the bottle with water and place it on a balancec) fill the bottle with water, and then empty the water into a graduated cylinder. please help me answer this complete the equation to fing the quotient of 2,2757 Jason studies Spanish for three years, and then switches to Pashto. When asked to remember Spanish vocabulary he cant, instead he can only remember Pashto vocabulary. This is an example of ________ interference.activeinactiveproactiveretroactive As a result of the Spanish conquest of the Americas, American IndiansResponses A. formed a colony in Panama to escape enslavement from the Spanish. B. died from disease and abuse by the hundred of thousands. C. learned to farm their own land and gained great wealth. D. who converted to Christianity grew wealthy. IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST. Can someone give me the answers to this: CLOSURE REVIEW CL A-98 thru CL 108Todays the last day of the quarter and I really need to turn it in but I cant focus. Which of the organisms in the food web above is the top level carnivore