if three angles of a hexagon are each x° and each of the other is 1/2 times x° find the angles​

Answers

Answer 1

Answer:

Step-by-step explanation:

The given hexagon has interior angles

x,x,x, x/2, x/2, x/2 for a total of S1=4.5x.

We also know that the sum of interior angles of any polygon of n sides is

S2=180(n-2)

For a hexagon, S2 = 180(6-2) = 720°.

Equating S1 and S2

4.5x = 720

x = 720/4.5 = 160.

Therefore substitute x in the given angles to get

{160°,160°.160°,80°,80°,80°}


Related Questions

how do you figure out the percentage of 19 into 129

Answers

Answer:

14.73.

Step-by-step explanation:

Answer:

See image below for answer:)

Step-by-step explanation:

-3(4x-6)=7-12x(solve)(show work)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

There is no solution to the equation.  

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What does t stand for in the projectile motion formula?

Answers

Answer:

t stands for time in those formulas

Step-by-step explanation:

and

u is for initial velocity

R is for range

H is height

Which expression is equivalent to

Answers

Answer:

D

Step-by-step explanation:

x^2 - 7x + 12 +  (x - 3)^2             Add (x - 3)^2 after it has been expanded.

x^2 - 7x + 12 + x^2 - 6x + 9        Combine like terms

2x^2 -7x - 6x + 21

2x^2 - 13x + 21                           Factor

(2x - 7)(x - 3)

Which is exactly what D says.

solve the system of equations y=3x+2 y=x^2+2

Answers

Step-by-step explanation:

hope it help thanks

pls mark me as brainliest



Solve: x+2/x-4<0
O _4 O -2 -2 -4

Answers

Answer:

-2<x<4

Step-by-step explanation:

For [tex]\frac{x+2}{x-4} < 0[/tex], note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.

This means x+2>0 and x-4<0 or x+2<0 and x-4>0.

Lets look at the first scenario (x+2>0 and x-4<0)

x+2>0 and x-4<0

x>-2 and x<4

This means that -2<x<4.

Let’s look at the other scenario (x+2<0 and x-4>0)

x+2<0 and x-4>0

x<-2 and x>4

This means that x must be <-2 and >4 simualtaneously, which is impossible.

Therefore, this only occurs when -2<x<4.

I hope this helps! :)

A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .

Answers

Answer:

The smallest possible length is 0.83m

Step-by-step explanation:

Given

[tex]Volume = 565L[/tex]

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

[tex]Volume = Length^3[/tex]

This gives:

[tex]565L= Length^3[/tex]

Express as [tex]m^3[/tex]

[tex]\frac{565m^3}{1000} = Length^3[/tex]

[tex]0.565m^3 = Length^3[/tex]

Take cube roots of both sides

[tex]0.8267m = Length[/tex]

Rewrite as:

[tex]Length = 0.8267m[/tex]

Approximate

[tex]Length = 0.83m[/tex]

Please help me with this math

Answers

Answer:

20

Step-by-step explanation:

2(3p+4)

Let p=2

2(3*2+4)

Multiply inside the parentheses

2(6+4)

Add inside the parentheses

2(10)

Multiply

20

Hola aquí va la respuesta!!!

[tex]20[/tex]

[tex] \saludos[/tex]

The population of rabbits on an island is growing exponentially. In the year 1992, the
population of rabbits was 220, and by 1997 the population had grown to 400. Predict
the population of rabbits in the year 2000, to the nearest whole number.

Answers

Answer:

572.6

Step-by-step explanation:

400 = 220 [tex]x^{5}[/tex]

ln(400/220) = 5 ln(x)

ln(x) = .1195

x = [tex]e^{.1195}[/tex]

x = 1.127

Y = 220[tex](1.127)^{8}[/tex]

Y= 572.6

Suppose that salaries for recent graduates of one university have a mean of $24,800 with a standard deviation of $1100. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $21,500 and $28,100

Answers

Answer: The mininum percentage of recent graduates is 88.9%

Step-by-step explanation:

We are given:

Mean value = $24,800

Standard deviation = $1100

Minimum value of salary = %21,500

Maximum value of salary = %28,100

The equation for Chebyshev's Theorem is given by:

[tex]\%=1-\frac{1}{k^2}[/tex]           .....(1)

To calculate the value of 'k', we first subtract the mean value from the maximum value.

⇒ [28,100 - 24,800] = 3300

Secondly, dividing the above-calculated value by the standard deviation, we get:

[tex]\Rightarrow \frac{3300}{1100}=3=k[/tex]

Putting value of 'k' in equation 1, we get:

[tex]\%=1-\frac{1}{3^2}\\\\\%1-\frac{1}{9}\\\\\%=\frac{8}{9}=88.9\%{[/tex]

Hence, the mininum percentage of recent graduates is 88.9%

Helpppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:


Shown below is a blueprint for a rectangular kennel at a pet hotel.
The blueprint of the rectangular kennel shows one side is 22 feet and another side is 14 feet.
What is the total length of fencing needed to enclose the kennel?
The total length needed is blank feet.
The solution is

Answers

Answer:

72 ft.

Step-by-step explanation:

In this problem, we are looking for the perimeter of the kennel. The perimeter of a rectangle has the formula, [tex]P=2l+2w[/tex], where l represents the length of the rectangle and w represents the width of the rectangle. We are given both the length and the width (or simply the two sides) of the rectangle, and all we need to do is plug it into the formula!

[tex]P=2*22+2*14\\P=44+28\\P=72[/tex]

Therefore, it would require 72 ft. of fencing to enclose the kennel.

I hope this helps! Let me know if you have any questions :)

Ayuda plissss no entiendo es para hoy no mañana

Answers

[tex]\frac{2}{5}[/tex] ÷ 4 = [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{4}{1}[/tex] = [tex]\frac{2}{20} =\frac{1}{10}[/tex]

[tex]\frac{6}{7}[/tex] ÷ 3 = [tex]\frac{6}{7}[/tex] ÷ [tex]\frac{3}{1}[/tex] = [tex]\frac{6}{21}=\frac{2}{7}[/tex]

[tex]\frac{1}{8}[/tex] ÷ 9 = [tex]\frac{1}{8}[/tex] ÷ [tex]\frac{9}{1}[/tex] = [tex]\frac{1}{72}[/tex]

[tex]\frac{5}{6}[/tex] ÷ 5 = [tex]\frac{5}{6}[/tex] ÷ [tex]\frac{5}{1}[/tex] = [tex]\frac{5}{30} =\frac{1}{6}[/tex]

2/5 la primera! 3/7 la segunda! 9/8 la tercera!
1/6 la ultima!

A prism and two nets are shown below: 3 in. 5 in. 7.2 in. 4 in. Prism B В B A с А D D Net A Net B Part A: Which is the correct net for the prism? Explain your answer. (2 points) Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points) Part C: What is the surface area of the prism? Show your work. (4 points)​

Answers

9514 1404 393

Answer:

net A is correctsurface area is 98.4 square inches

Step-by-step explanation:

Part A:

The two right-angle corners of the triangular bases are at either end of the same edge. This is only shown correctly in Net A.

__

Part B:

See the attached annotated diagram. Dimensions are in inches.

__

Part C:

The total surface area is the sum of the three central rectangles of the net and the two triangles. As shown in the attached, the two triangles can be considered as one rectangle of dimensions 3 in by 4 in.

The total area is ...

  Surface area = base area + face area

  = (3 in)(4 in) + (3 + 4 + 5 in)(7.2 in) = 12 in² +86.4 in²

  Surface area = 98.4 in²

Twelve skateboards have 48 wheels. What is the value of the ratio of skateboards to wheels, in simplest form? A. 1/4 B. 4/12 C. 12/48 D. 16/20

Answers

Answer:

1/4

Step-by-step explanation:

Skateboards  : wheels

12                    :     48

Divide each part by 12

12/12              :    48/12

1                       :4

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

There are Twelve skateboards have 48 wheels.,

we need to find the ratio of skateboards to wheels, in simplest form;

Hence,

Ratio of skateboard to wheel

[tex]\sf{\dfrac{skateboard}{wheels}   }[/tex] 

[tex]\sf{\dfrac{12}{48}   }[/tex] 

[tex]\sf{\dfrac{\cancel{12}^{^{1}}}{\cancel{48}_{_{4}}}  }[/tex] 

[tex]\bold{\dfrac{1}{4}   }[/tex] 

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 68% of her commute times.

Answers

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Find the area of the triangle. round your answer to the nearest tenth​

Answers

Answer:

use photo math

Step-by-step explanation:

cuz i said so

Mark Brainliest please

Answer is A 234.6 units

Explanation:

Area = base * side * sinγ ( Sin of angle)/2
A = 37 * 30·sin(25°)/2
A ≈ 234.55314 units

Two parallel lines are crossed by a transversal

What is the value of h?

A. H =60
B. H =80
C. H =100
D. H =120

Answers

B. H=60
180degrees-120degrees=60degrees

Answer:

A) h = 60

Step-by-step explanation:

Find the general solution to y" – 8 y' + 15 y=0.​

Answers

Answer:

y" - 8y' + 15y = 0

2nd order Homogeneous DE.

Solving Quadratically

k² - 8k + 15 = 0

k= 5 or k= 3.

Two real and Unequal roots.

y= Ae^5x + Be^3x.

Is god real????
Answer ASAP

Answers

depends on what u believe in if u think he existed then yes if you dont then no

id like to think so but it also depends on what you believe like do you think that he created this whole universe or do you think something like that isn’t possible i believe he is because i know that everything happens for a reason and he knows all the reasons and has everything planned out

Which of these values represents the largest distance?
A. 0.5 miles
B. 5,000 feet
C. 500 yards
D. 5,000 inches

Answers

Answer:

A

Step-by-step explanation:

I hope this helped you :-)

B. 5,000 feet

0.5 miles is only 3,390ft

500 yards is only 1,500ft

5,000 inches is only 416ft 8in

Hope this helps! :)

For which equation is the solution set {-5,2}? *

Answers

Step-by-step explanation:

14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.

Anyone no how to do this?..

Answers

The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.

20 x 12

20 x 12= 240

12 x 12=144

So the first one will be:

240 x 144

Second:

96 x 96

Third:

96 x 114

Fourth:

240 x 196

Fifth:

240 x 240

Sixth:

120 x 240

can anyone help me do the slope for this?

Answers

Answer:

The value of the slope is 4

The meaning of the slope is y/x

Step-by-step explanation:

What is the approximate sector area of a sector defined by minor arc CB?

Answers

Answer:

d. 7.5 cm²

Step-by-step explanation:

Area of sector = central angel/360 × πr²

Central angle = 180° - 84° = 96° (supplementary angles)

BA = radius (r) = ½(6) = 3 cm

Plug in the values

Area of sector = 96/360 × π*3²

= 7.53982238

= 7.5 cm² (nearest tenth)

HELP PLEASE I"LL GIVE 50 POINTS. what is the ratio in simplest form between the length of a side in ΔMNO and the length of it's corresponding side in ΔXYZ

Answers

Answer:

1 : 2

Step-by-step explanation: trust

Answer:

3/1 Hope that helps

Step-by-step explanation:

Pls can someone help me

Answers

Answer:

I'm sorry but the question is not clear enough for me to understand the question asked snap the entire question

If a ladder reaches 10 feet up on a wall while the base is 3 feet away how tall is the ladder

Answers

Answer:

Side a = 10.44031

Side b = 10

Side c = 3

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad

Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad

Determine the number of bars and bar width in the histogram using the following 50 numbers. 26 39 39 22 18 8 52 69 15 2 60 87 98 10 39 50 3 41 62 29 78 97 60 72 65 15 24 14 14 98 50 60 17 82 44 52 91 77 52 71 9 98 36 93 43 86 87 20 93 98

Answers

Answer:

10 bars ; width 10

Step-by-step explanation:

Reordering the data given :

2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98

To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;

Range = 98 - 2 = 96

By extending the width slightly on either side, we have 0, 100.

If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;

Now our range = 100 - 0 = 100

Width = 10

Number of bars = range / bar width

= 100 / 10

= 10 bars

Given (x+y)^12, find the coefficient of the 7th term.

200
495
792
924

Answers

Answer: 924

Step-by-step explanation:

1. Use the combination formula nCr = n!/(n-r)!r!

Using this formula gets you 16 (n) C 6 (r) = 12!/6!6! Which is also 12 • 11 • 10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 / 6 • 5 • 4 • 3 • 2 • 1 • 6 • 5 • 4 • 3 • 2 • 1

2. Cancel out matching multiples that are in the numerator and denominator

This gets you 12 • 11 • 10 • 9 • 8 • 7 / 6 • 5 • 4 • 3 • 2 • 1 or 665280/720 when you simplify which leads you to the answer 924

Hope this helps!

Answer:

924

Step-by-step explanation:

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