POSSIBLE POLYGONS Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning a. 165 b. 171 c. 75 d. 40​

Answers

Answer 1

Answer:

yes for all 4.

Step-by-step explanation:

I am not sure I see the whole information.

but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.

the simplest polygon is a triangle.

the sum of all angles in a triangle is always 180 degrees.

so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).

so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.

similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.

for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.

for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.


Related Questions

stuck on this its super hard

Answers

105 square centimeters
Explanation:
Divide shape into one rectangle and one triangle.

Base of triangle:
15 - 9 = 6 cm

Height of triangle:
11 - 6 = 5 cm

Area if triangle (1/2 • base • height):
1/2 • 6 • 5 = 15 square centimeters

Area of rectangle (length • width)
15 • 6 = 90 square centimeters

ADD THE AREA OF BOTH SHAPES:
90 + 15 = 105 square centimeters

Hope this helps!
-SpaceMarsh

What is the value of x? Round your answer to the nearest Whole number
X
A 10
C 17
B 1
D 13

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → B

1. Convert the quinary number 42 into binary number.​

Answers

Answer:

42 in binary number is 101010.

How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt​

Answers

Answer:

600[tex]e^{10*.04}[/tex]

$895.09

Step-by-step explanation:

Multiply the polynomials.
(x + 2)(2x2 + 9x+8)
A. 2x3 + 13x2 – 26x+ 16
B. 16x3 + 72x2 + 46x - 16
C. 2x3 + 17x + 22x+16
D. 2x3 + 13x2 + 26x+ 16

Answers

Answer:

2x^3 + 13x^2 + 26x + 16

Step-by-step explanation:

x(2x^2 + 9x + 8) +2(2x^2 + 9x + 8)

2x^3 + 9x^2 + 8x + 4x^2 + 18x + 16

2x^3 + 13x^2 + 26x + 16

HOPE IT'S HELPFUL
The answer should be A, no parentheses just multiply within the numbers

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE

Answers

Complete Question:

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?

*The circle is attached below in the attachment

Answer:

BD = 11

Step-by-step explanation:

Given:

AE = x

EC = x + 12

BE = x + 2

ED = x + 5

Required:

Length of BD

Solution:

First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem

x(x + 5) + 2(x + 5) = x(x + 12)

x² + 5x + 2x + 10 = x² + 12x

Add like terms

x² + 7x + 10 = x² + 12x

Subtract x² from each side

x² + 7x + 10 - x² = x² + 12x - x²

7x + 10 = 12x

10 = 12x - 7x

10 = 5x

10/5 = 5x/5

2 = x

x = 2

Next, find BD:

BD = BE + ED

BD = x + 2 + x + 5

Add like terms

BD = 2x + 7

Plug in the value of x

BD = 2(2) + 7

BD = 4 + 7

BD = 11

Answer:

What is BD?

11  units

Step-by-step explanation:

pls help me..... the question is in the attachment.... thank you


Answers

Answer:

I added some attachments as well, I hoped I helped.

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Answers

Answer:

for the triangle on top on side is 8 one side is 4 so if we use the theorem

64+16=80

a=9

so

Side a = 19.8242

Side b = 17.66349

Side c = 9

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 63° = 1.09956 rad = 7/20π

Angle ∠C = 27° = 0.47124 rad = 3/20π

Area = 79.48573

Perimeter p = 46.4877

Semiperimeter s = 23.24385

help with this please?....:)

Answers

Answer:

200. 96 cm^2

Step-by-step explanation:

If the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex] = 3.14,

radius = 8 cm (r = diameter/2   ----> r = 16/2)

= [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]= 3.14 (8^{2})\\= 200. 96 cm^{2}[/tex]

Use the picture above to determine why the work below received a 2/3. (hint: there are 2 mistakes)

V = TTr2h

V = TT(32)10

V = TT(6)(10)



V = 60TT square feet

Answers

Answer:

3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h?

Answers

Answer:

52.24 km

Step-by-step explanation:

Given that,

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.

d = ks²

Where

k is constant

When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?

So,

[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]

So, the new distance is 52.24 km.

Circle o has diameter AB and chord AC. Calculate the measure of 2 CAB if BC = 62".
D

Answers

ldmslwwnkwebkehwlsnseod

5x^2-9x+4=0 zero product property

Answers

What is your question exactly?

Answer: x = 1, 4/5

Step-by-step explanation:

I just factored this out

(x-1)(5x-4)= 0

x = 1, 4/5

9. Is the relation shown in the table a
function?
х
1
4
5
10
y
2
-1
-6
-1

Answers

Answer:

obvious answer, no

Step-by-step explanation:

specific and scientific answer:

the first input 1 equals 2, which could mean both +1 or times 2

but when there is input of 4 and an out-put of -1, it starts to not make sense

basically the first input is always going to be your control group for science experiments or the one that stays the same and judges

9. Here are two expressions with a missing number: Expression 1: • Expression 2: + 4 Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)​

Answers

Use sr(3)

All the other options are rational 32/10, 2/3, 23/99
If you multiply two fractions you always get a fraction.
If you add 4 to a fraction it is still rational.

Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y = 1/5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that represents Angelo's second cut. 10 -10 10 --10 O A. y = -5x-6 B. y = 5x + 6 C. y = 5x + 6 O D. y - 18 x - 6​

Answers

Answer:

y = 1/5x + 6

Step-by-step explanation:

If the second cut is parallel to the first, it will have the same slope.

So, it will have a slope of 1/5.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

6 = 1/5(0) + b

6 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = 1/5x + 6

So, the equation of the second cut is y = 1/5x + 6

5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?

Answers

5:6 is the answer and that still isn’t enough words maybe if I type what I am saying it will be 20 characters

Will your career more important than anything else

Answers

well, sometimes, it will. You know, cause nowadays everything in this world, even the people, will judge you based on how you doing on your life. Or maybe some people will only care about you because of your occupation and what do you have. But, for me, what is the meaning of life if you didn’t experience any happiness, love, or anything in your life? For example, it is your career more important than your family? Is it important than your happiness in your life? So, for me, career is not so important. I mean, yes with it you can earn money. But sometimes, money can’t bring happiness to us.
Honestly, it depends on what you most value in life, wether it be your career, love life, family, etc.

La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:

Answers

Answer:

El coseno del ángulo esta dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Step-by-step explanation:

Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Donde:

CA es el cateto adyacenteH es la hipotenusa del triángulo

Espero te haya sido de ayuda!

the measures of the angles of a triangle are shown in the figure. solve for x

Answers

Answer:

X=57.

Step-by-step explanation:

Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.

Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies

Answers

No Betty would have sold at least 5 cookies.

We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.

It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.

đa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0

Answers

ahiaiaoaoaoaooosoohjfjfjdkd

what’s the difference between the area of the larger circle and the area of the smaller circle? in pi

Answers

Answer:

105 pi m^2

Step-by-step explanation:

radius squared - radius squared =

(16+3)^2 - 16^2 =

19^2 - 16^2 =

361-256= 105

Classify the following angles

Answers

--Answer--

1. acute

2. right

3. acute

4. obtuse

5. straight

--Explanation--

Acute angle = Greater than 0 °, Less than 90°

Right angle = 90°

Obtuse angle  = Greater than 90°, less than 180°

Straight angle = 180°

Answer:

A) Acute   B) Right     C) Obtuse      D) Obtuse      E) Flat/Straight

Step-by-step explanation:

Acute angles are angles less than 90°

Right angles are angles that are 90°

Obtuse angles are angles that are over than 90°

Flat/Straight angles are 180°

Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 5, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 68. Compute the trainee's z-score.

Answers

Answer:

-0.8

Step-by-step explanation:

Given that :

Mean of test score, m = 72

Standard deviation of test score, σ = 5

Trainee's score, x = 68

Since the distribution is Symmetric ;

The Zscore Cann be calculated thus :

Zscore = (x - mean) / standard deviation

Zscore = (68 - 72) / 5

Zscore = - 4 / 5

Zscore = - 0.8

(a+b)^2*(a-b)
please answer me fast ​

Answers

Answer:

a^3b + 2a^2b^2 + ab^3

Step-by-step explanation:

(a+b)^2

= a^2 + 2ab + b^2

ab(a^2 + 2ab + b^2)

= a^3b + 2a^2b^2 + ab^3

A square coffee shop has a perimeter of 20 meters. How long is each side of the coffee shop?

Answers

5 meters

A square has 4 equal sides:
20/4 = 5

Brainliest?

Answer:

5 Meters

Step-by-step explanation:

Perimiter of a square would be P/4

So we take 20 and divide it by four.

We would get 5 as a result so each side is 5 meters.

Hope this helps.

can I please can some help on this question ​

Answers

Answer: The answer be 87 for both answer's

Step-by-step explanation:

because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)

Có bao nhiêu giá trị nguyên của tham số m để phương trình 4^x +4^-x = 2^ (x+1) – 2^(1-x) +4-m có nghiệm trên đoạn [0;1]

Answers

Answer:

m  = 2

m = 2,75

Step-by-step explanation:

Được-

Phương trình =

4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m

Thay các giá trị của x = 0 vào phương trình đã cho ta được

4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m

1 +1 = 2 -2 + 4-m

m = 4-2 = 2

Thay các giá trị của x = 1 vào phương trình đã cho ta được

4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m

4 + 0,25 = 4 - 1 + 4 -m

m = 7-4,25 = 2,75

Question in attachment. Will give brainliest if correct.

Answers

Answer:

x= 50

Step-by-step explanation:

The angles of a triangle adds up to 180

First we can see R, S, O is equal to S, R, O

We can also see that the angles are equal to N, O, S

So R, S, O and S, R, O are both 65 degrees

Add 65 + 65

= 130

180 - 130 = 50

x= 50

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