The completed construction of a regular hexagon is shown below. Explain why AACF is a
30°-60°-90° triangle. Show a picture, please!

The Completed Construction Of A Regular Hexagon Is Shown Below. Explain Why AACF Is A30-60-90 Triangle.

Answers

Answer 1

Answer:

You can prove that angle C is 30°. This is because we know that angle B is 120° also, and interior angles add to 180°, which makes angle BCF 60°. Then we can divide this by 2 as angle BCF is bisected by AC, so, therefore, angle ACF is 30° as 60 ÷ 2 = 30.

You can then prove angle A is 90°. First, we can find angle BAC because it is part of a triangle, and angles in a triangle add to 180°. This means we can do 30 + 120 = 150, and 180 - 150 = 30° which is angle BAC. Then we do 120 - 30 = 90, as the whole of angle BAF is 120°.

I hope this helps!


Related Questions

Pls help I'll mark the brainliest to the person who answers first.

Answers

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus four would be n/12 + 4 and not 12/n + 4

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus 4 would be represented as n/12+4

SOMEONE HURRY THIS IS EASY BUT I CANT FIGURE IT OUT. I WILL MARK U AS BRAYNLIST

Answers

Answer:

e

Step-by-step explanation:

e

Who solved the problem incorrectly, and where was the first mistake made?

Answers

Answer:

B

Step-by-step explanation:

20 × 30 = 600

30 × 6 = 180

5 × 6 = 30

but 20 × 5 doesn't equal 10

Answer: B

explanation: mariah was doing it right until she multiplied 20x5. she put 10, which is wrong. it’s 100

HELP ME FAST!!


What is the different between (3,2) and (3, -6)?

Answers

Answer: the answer is 8

Step-by-step explanation:

-6 + 8 = 2 (y)

A lay office assistance gets 236.39 every two weeks. How much will they make in a year? Round to the nearest cent

Answers

Answer:

Step-by-step explanation:round the number then x it by 12

Answer:

$5673.36

Step-by-step explanation:

4 weeks in a month

12 months in a year

Therefore, they get paid twice in a month.

236.39 * 2(twice in a month) = 472.78 per month

Take this and times it by 12 since there are 12 months in a year.

472.78*12 = 5673.36

Please help idk what to put for thisss


Answers

Answer:

The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. ... Then we need to remember to multiply first, before doing the addition!

Step-by-step explanation:

13 The perimeter of the rectangle is 64 in. Find the vaue of x.
22 in.

1
2x in.
Show Your Work

Answers

Answer:

10

Step-by-step explanation:

22+22=44

64-44=20

20/2=10

pleaseeee helppp me nowwww:(((​

Answers

Answer:

I can't see anything to read

Answer:

um

Step-by-step explanation:

explaino moreo

The weight of water in a person’s body varies directly as his/her body weight. The body of 170-lb person contains about 119-lb of water. How much water is in the body of a person who weighs 120-lb?

Answers

Answer:

119-50 pounds = 69 so 169 pounds -step explanation: blood= weight (k)

Step-by-step explanation:

y=kx

2

4.6 = 170k

finding the constant of variation

3

k= 0.02875

4

equation relates quarts of blood to weight

5

RESULT

4.6 = 170k

y= 0.02875x

y= 0.02875(175)= 5.03125

Answer:

Ww=84 lb

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y=k.x

Where k is the constant of proportionality.

The value of k is obtained by using the values of a specific point.

The weight of water Ww in a person's body varies directly as their body weight Wb as follows:

Ww=k.Wb

We are given a 170-lb person contains 119 lb of water. Substituting:

119=k.170

Solving for k:

k=119/170=0.7

The function is:

[tex]Ww=0.7\cdot Wb[/tex]

To find how much water is in the body of a 120-lb person, we substitute Wb=120:

[tex]Ww=0.7\cdot 120[/tex]

Ww=84 lb

1
2
3
4
5
7
8
Which is the value of this expression when P=-2 and q=-17
(602Xa%) *.(60*10%)
OTE
Which is the value of this expression when p=-2 and a=-1

Answers

It's a formula that is represented

If x = -3, and y = 2, evaluate the following:
4x^2

Answers

Answer:

Evaluate the expression for the given values of x and y. x-y/x+y when x = 10 and y = 8

PLEASE HELP ITS TIMEDDDD

Answers

Answer:

I'm not 100% sure but if I had to pick one I would go with B.

Step-by-step explanation:

Let me know if I'm correct if you decide to pick mine

Find the sum of the interior angle measures of the green polygon,
Then sum of the interior angle measures is

Answers

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

[tex]Sum\ of\ interior\ angles = (n-2)*180[/tex]

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

[tex]Sum = (7-2)*180 = 5*180 = 900[/tex]

Hence,

The sum of interior angles of given polygon is 900°

Is the following graph
an example of a linear
function?
Yes
No

Answers

Answer:

no

Step-by-step explanation:

A linear equation is a straight line.

Ten samples of coal from a Northern Appalachian source had an average mercury content of 0.242 ppm with a standard deviation of 0.04 ppm. Find a 95% confidence interval for the mean mercury content of coal from this source. Round the answers to four decimal places.

Answers

Answer:

0.2172<x<0.2668

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = xbar ± (z*s/√n)

xbar is the average = 0.242ppm

z is the z score at 95% confidence = 1.96.

s is the standard deviation = 0.04pm

n is the sample size = 10

substitute the values into the formula;

CI = xbar ± (z*s/√n)

CI = 0.242 ± (1.96*0.04/√10)

CI = 0.242 ± (1.96*(0.04/3.1623))

CI = 0.242 ± (1.96*(0.01265))

CI = 0.242 ± (0.02479)

CI = (0.242-0.02479, 0.242+0.02479)

CI = (0.2172, 0.2668)

Hence a 95% confidence interval for the mean mercury content of coal from this source is 0.2172<x<0.2668.

Alpha Pharmaceuticals is manufacturing a new antibiotic. The amount of active substance in each pill is normally distributed with a mean of 20 mg and a standard deviation of 2.5 mg. What is the probability of a pill having more than 24.125 mg active substance?

Answers

Answer:

The probability of a pill having more than 24.125 mg active substance is 0.0495.

Step-by-step explanation:

Let X denote the amount of active substance in each pill.

It is provided that,[tex]X\sim N(20,\ 2.5^{2})[/tex]

Compute the probability of a pill having more than 24.125 mg active substance as follows:

[tex]P(X>24.125)=P(\frac{X-\mu}{\sigma}>\frac{24.125-20}{2.5})[/tex]

                       [tex]=P(Z>1.65)\\\\=1-P(Z<1.65)\\\\=1-0.95053\\\\=0.04947\\\\\approx 0.0495[/tex]

Thus, the probability of a pill having more than 24.125 mg active substance is 0.0495.

(Giving brainliest! Pls have at least one sentence to explain why you chose the answer :) )


Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers of book copies sold?

A) Beth sold half the number of book copies that Rodney sold.
B) Rodney sold half the number of book copies that Beth sold.
C) Beth sold twice the number of book copies that Rodney sold.
D) Rodney sold the same number of book copies that Beth sold.

Answers

Answer:

A

Step-by-step explanation:

Hope it helps

Answer:The awnser is

B

Step-by-step explanation:

because rodney sold half her copies

2x - 4 > 4
...................

Answers

Answer:

x>4

Step-by-step explanation:

Which ordered pair is the solution to this system of equations?
2y= 6x + 10
y= 2x + 4

Answers

Answer:

the answer is (-1,2), hope this helps.

Could Someone PLEASE help me with this it is stumping me.

Answers

9514 1404 393

Answer:

  G  45

Step-by-step explanation:

If Z is the circumcenter, it is equidistant from the vertices T, U, V. That is, ΔZUV is an isosceles triangle and Y is the midpoint of UV.

If Y is the midpoint of UV, then UY = VY = 22.5, and UV = UY +VY = 45.

The length of UV is 45.

The boy has 45 apples and ate 6 bla bla bla

Answers

so if it’s sub then 45 -6 = 39

Answer:45-6=39

Step-by-step explanation:OKEI im sorry for asking, but askings what i do,can I have ur points so i can be more richer than u

please answer I need it

A-between hour 2 and 3
B-between hour 4 and 5
C-between hour 1 and 2
D-between hour 3 and 4​

Answers

Answer:

A

Step-by-step explanation:

This is due to the fact that their is no gain. It just plateaus.

Answer:

A

Step-by-step explanation:

Sorry if I get this wrong I just thought it might be the slowest because it's going up in time but not distance.

Can anyone help me ASAP please? I will mark BRAINLIEST

Answers

Answer:

I think it's a triangle

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

3x = x + 6

3x - x = 6

2x = 6

x = 6/2

x = 3

Hope this helps

plz mark as brainliest!!!!!!

can someone help me on this please

Answers

Answer:

the answer is infinitely many solutions

Please help. Also my answers are wrong.

Answers

9x+2 = 6x/8, 72x+16 = 6x, 16 = -66x, x = - 0.242424... or - 8/33
The picture is a bit blurry, I think it is 6x divided by 8 right?

Calculate the final cost of the item with tax. Gloves: $17.50, Tax: 6.15% *PLS HELP*

Answers

Answer:

$17.50 + $1.08 (sales tax) = $18.58

Step-by-step explanation:

17.50 x 6.150

2. The probability that a car will come to a complete stop at a particular stop sign is 0.4. Assume that the next four cars
arrive at the stop sign are independent of one another. Find each of the following probabilities:
a) None of the four cars come to a complete stop?

Answers

Answer:

[tex]P(X = 0) = 0.1296 [/tex]

Step-by-step explanation:

This can be solved using the binomial distribution because the cars arriving at the stop are independent of each other. This means we will use:

[tex]P(X = x) = \binom{n}{x} p^{x} q^{n - x}[/tex]

Where p is the probability of success, q = 1 - p is the probability of failure and n is the number of cars sampled.

p = 0.4

q = 0.6

n = 4

Therefore,

[tex]P(X = 0) = \binom{4}{0} 0.4^{0} 0.6^{4}[/tex]

This is equal to

[tex]P(X = 0) = 1 \times 1 \times 0.1296 [/tex]

[tex]P(X = 0) = 0.1296 [/tex]

Plsss help i will give brainliest

Answers

Answer::

Tens: 7 Hundredths: 0 Ten Thousandths: 3

Step-by-step explanation:

The numbers before the decimal points don't have "-th" at the end, numbers after the decimal do.

Closest to the left of the decimal: ones, tens, hundreds, thousands....

Closest to the right of the decimal: tenths, hundredths, thousandths, ten thousandths....

Which of the following best describes chemical weathering?

A process in which ice wears away at rocks over a long period of time
A series of changes that moves rocks from one area to another
Any small-scale event such as rain or fog
A process that changes the composition of rocks, causing them to break down _____________________________________ pls help meeeeeeeeeeeee

Answers

Answer: a process that changes the composition of rocks causing them to break down

Step-by-step explanation:

hopes this helps

Answer:

A process in which ice wears away at rocks over a long period of time.

Step-by-step explanation:

I just took the test and got it correct.

Help quick 16 points

Answers

Answer:

124 child tickets, and 78 adult tickets

Step-by-step explanation:

x=child

y= adult

x+y=202

10x+6y=1708

Multiply eq1 by 6

6x+6y=1212

-4x=-496

x=124

y=78

Hope this helps plz mark brainliest :D

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