If the sum of the interior angles of a polygon is equal to the sum of the exterior angles, which of the following statements must be true?
A. The polygon is a regular polygon
B. The polygon has 2 sides
C. He polygon has 4 sides
D. The polygon has six sides
E. It's impossible for the sums to be equal

Answers

Answer 1

Answer: D.

Step-by-step explanation:

Hexagon has six sides, the sum exterior angles is 360 degrees

if you divide 360 by 6 you will get 60 degrees for each sides.

I might be wrong, I suck at geometry even if im doing calc


Related Questions

Select the correct answer. The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35.5° with respect to the ground. If the ladder is moved by x meters toward the wall, it makes an angle of 54.5° with the ground, and its top is 14 meters above the ground. What is x rounded to the nearest meter?


A. 7 meters B. 4 meters C. 3 meters D. 1 meters

Answers

Answer:

4 trust me

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

trust lol

Given that sin x < cos x and 0°< x < 90°,state a possible value of x. Explain your answer clearly.

Answers

Answer:

30°

Step-by-step explanation:

Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.

sinx< cos x

Dividing both sides by cos x

sin x/cos x < cos x/cos x

tan x < 1

x < [tex]tan^{-1}1[/tex]

x < 45°

Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.

ok I need help with this cylinder volume thing

ok so the volume is 20litres and the diameter is 13.5 but I need to find the length value. Length value needs to be in metres

Answers

Answer:

h = 0.139725

Step-by-step explanation:

Volume of a Cylinder Formula: V = πr²h

You are given V = 20 and r = 6.75.

20 = π(6.75)²h

20/45.5625π = h

h = 0.139725

I'm not sure if this is correct or not.

Answer:

≈1.4 m

Step-by-step explanation:

V= 20 l= 20 000 cm³

d= 13.5 cm ⇒ r= 13.5 cm / 2= 6.75 cm  (assume it is cm)

V= πr²h

h= V/πr²= 20000/3.14*6.75² ≈ 140 cm= 1.4 m

helpp help meeee plsss pls

Answers

Answer: w might be 9

Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.

Answer:

9

solution,

The two polygons are same.

[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]

[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]

Hope this helps...

Good luck on your assignment..

Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.

Answers

Answer:

1/6

Step-by-step explanation:

An experimental probability is the number of times an event occurred when actually attempted.

So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:

60-50 = 10.

So, the probability of picking a painted ball = 10/60 = 1/6

Hope this helps

Which is the correct way to model the equation 5 x + 6 = 4 x + (negative 3) using algebra tiles? 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side 5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side

Answers

Answer:

answer a is correct

Step-by-step explanation:

Answer: A. 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side

Step-by-step explanation: On Edge!!!!!!!!!!!

Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation). Use this rule to find the coordinates of this point's dilation from the origin, with a scale factor of 3: (4, 10).

Answers

Answer:

(12, 40)

Step-by-step explanation:

The first thing is to assume that we have a point with the following coordinates (x, y).

Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.

Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:

(3 * 4, 4 * 10) = (12, 40)

The parallelogram is rotated 90° anticlockwise about point G

Which of the points A , B , C and D is the image of point R ? ​

Answers

Answer:

C

Step-by-step explanation:

Let's say that point G is the origin, (0,0). Then, the coordinates of point R would be (-3, -5). Rotating the point 90° counter-clockwise would result in the final coordinates being (5, -3), therefore the answer is C.


PLEASEEE HELPPP IT DUE TODAYYY

Answers

Answer:

All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.

PLEASE help me with this question!!!!!!

Answers

Answer:

270[tex]\sqrt{3}[/tex] cm³

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ← where s is the side length, here s = 6

A = [tex]\frac{6^2\sqrt{3} }{4}[/tex] = 9[tex]\sqrt{3}[/tex] cm² ← multiply by 6

area of base = 6 × 9[tex]\sqrt{3}[/tex] = 54[tex]\sqrt{3}[/tex] cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54[tex]\sqrt{3}[/tex] × 5 = 270[tex]\sqrt{3}[/tex] cm³

$15.30 for 3 small pizzas

Answers

Answer: $5.10

Explanation: $15.30 divided by 3 = $5.10

Answer:

$5.1

Step-by-step explanation:

If it costs $15.30 for 3 pizzas, then we can divide 15.30 by 3 to get $5.1. This concludes that the cost for one pizza is $5.1.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

.Write the following number in the standard form. a) 0.000000012

Answers

Answer:

[tex]1.2 * 10 ^{-8}[/tex]

Step-by-step explanation:

=> 0.000000012

Moving the decimal point after 1st non-zero digit:

=> [tex]1.2 * 10 ^{-8}[/tex]

Answer:

Scientific Notation: 1.2x10^-8, or 1.2e-8

Step-by-step explanation:

solve for x -48=6(x-3)

Answers

Answer:

[tex]\boxed{x = -6}[/tex]

Step-by-step explanation:

[tex]x-48 = 6(x-3)[/tex]

Resolving parenthesis

[tex]x - 48 = 6x-18[/tex]

Adding 18 to both sides

[tex]x-48+18 = 6x\\x-30 = 6x[/tex]

Subtracting x from both sides

[tex]-30 = 6x-x\\-30 = 5x[/tex]

Dividing both sides by 5

[tex]-30/5 = x[/tex]

[tex]-6 = x\\[/tex]

OR

x = -6

Answer:

x = - 6

Step-by-step explanation:

x - 48 = 6(x - 3)

Expand the terms in the bracket

That's

x - 48 = 6x - 18

Group the constants at the right side of the equation and the ones with variables at the left side

x - 6x = 48 - 18

- 5x = 30

Divide both sides by - 5

x = - 6

Hope this helps you

3/4, 1, 4/3, 16/9,... which of the following are recursive formulas for the nth term of the following geometric sequence?

Answers

Answer:

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

Step-by-step explanation:

nth term of geometric sequence = a(n)

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

Where,

a =  first term

r = common ratio

n = number of term

So,

GP: 3/4, 1, 4/3, 16/9

a = 3/4

r = 1 / [3/4] = 4/3

n = n

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

Simplify the radical /81d^6.
O 9d2
81d3
O 9d3
O 906

Answers

Answer:

The answer is option C.

Step-by-step explanation:

[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]

Hope this helps you

Answer:c

Step-by-step explanation:

Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3.

Answers

Answer:

B(-2,-3).

Step-by-step explanation:

The given points are A(-6,-5) and C(4,0).

We need to find the coordinates of point B on segment AC such that AB:BC=2:3.

It means point B divides the line segment AC in the ratio of 2:3.

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Using section formula, the coordinates of point B are

[tex]B=\left(\dfrac{2(4)+3(-6)}{2+3},\dfrac{2(0)+3(-5)}{2+3}\right)[/tex]

[tex]B=\left(\dfrac{8-18}{5},\dfrac{0-15}{5}\right)[/tex]

[tex]B=\left(\dfrac{-10}{5},\dfrac{-15}{5}\right)[/tex]

[tex]B=\left(-2,-3\right)[/tex]

Therefore, the coordinates of point B are (-2,-3).

Answer:

Therefore, the coordinates of point B are (-2,-3).

Step-by-step explanation:

1.01 LC)Look at the following numbers: − 4, −1, 0, 4 Which pair of numbers has a sum of 0?

Answers

Answer:

-4 + 4

Step-by-step explanation:

It is -4 + 4 because if you imagine on a number line, you go left 4 (since it is negative) and add 4, so you go to the right 4, which leaves to 0.

Or, you can think of it like this:

+4 - 4

= 4 - 4

= 0.

I hope this helps. Sorry if I was wrong

Answer:

the answer would be -4 and 4 thess two numbers has a sum of 0

fractorise the following (a-b)²+(a-b)​

Answers

Step-by-step explanation:

taking common (a-b)

so we get the answer

solve with ans : the compound interest of a sum of money in 1 years and 2 years are Rs 450 and Rs 945 respectively. find the rate of interest compounded yearly and the sum .​

Answers

Answer:

The rate of interest compounded yearly =10%The sum compounded is Rs4,500

Step-by-step explanation:

Compound Interest Formula, Amount, [tex]A(n)=P(1+r)^n[/tex]

Interest=Amount - Principal

[tex]I=P(1+r)^n-P[/tex]

At the end of 1 year, interest =Rs450, therefore:

[tex]450=P(1+r)-P\\450=P+Pr-P\\450=Pr[/tex]

At the end of 2 years, interest =Rs945, therefore:

[tex]945=P(1+r)^2-P\\945=P(1+r)(1+r)-P\\945=P(1+r+r+r^2)-P\\945=P(1+2r+r^2)-P\\945=P+2Pr+Pr^2-P\\945=2Pr+Pr^2[/tex]

Recall: Pr=450

Therefore:

[tex]945=2(450)+Pr^2\\945-900=Pr^2\\Pr^2=45[/tex]

Comparing Pr=450 and [tex]Pr^2=45[/tex]

[tex]\dfrac{Pr^2}{Pr}= \dfrac{45}{450}\\r=0.1[/tex]

Substitute r=0.1 to obtain P

0.1P=450

P=Rs4500

Therefore:

The rate of interest compounded yearly =0.1=10%The sum compounded is Rs4,500

Joe had 21 pennies, but then he lost 11 pennies. His friend gave him 5 more pennies. How many pennies does Joe have now?

Answers

Answer:

15 pennies

Step-by-step explanation:

lost means subtract and gave him means add

21 -11 +5

15

Answer:

15 pennies

Step-by-step explanation:

You can start by saying that after losing 11 pennies from his original amount it is 21-11, which equals to 10.

THen the question says that his friend gives him an additional 5  pennies, which is shown by 10+5=15

THerefore, all you had to do was use the information given and add or subtract the number of pennies from the original.

Answer: 15 pennies

Hope this helped

ayuda porfa se ruego :b

Answers

Answer:

b) 5u.

Step-by-step explanation:

El triangulo es 45-45-90, entonces los dos lados son iguales. Si un lado es 8u, el otro lado tambien es 8u.

Entonces, 8u + x = 13u.

x = 13u - 8u

x = 5u

Espero que esto te ayude!

between which to whole numbers does the square root of 37 lie?

Answers

Between 6 and 7

6×6=36

7×7=49

hopefully this helped

The number √37 is lies between whole numbers 6 and 7.

We have to given,

A number is, √37

By the definition of square root, we get;

⇒ √37 = 6.08

And, We know that,

Number 6.08 is lies between whole number 6 and 7.

Hence, We get;

⇒ 6 < √37 < 7

Therefore, The number √37 is lies between whole numbers 6 and 7.

Learn more about Number system visit:

https://brainly.com/question/17200227

#SPJ6

What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13

Answers

Answer:

sin = 12/13 and tan = 12/5

The value of sin α will be 12/13 and tan α  will be 12/5 for the given triangle such that cosα= 5/13.

What is a trigonometric function?

Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.

We know that

sin²α  + cos²α  =1  ⇒ sin²α  = 1 - cos²α

Given that cosα = 5/13 so by putting it

sin²α  = 1 - (5/13)²

sin²α  = 144/169  ⇒ sinα = 12/13.

Now since tanα = sinα /cosα  

tanα  = (12/13) ÷ ( 5/13)

tanα = 12/5.

Hence the value of sinα will be 12/13 and tanα will be 12/5.

For more information about the trigonometric function

brainly.com/question/1143565

#SPJ2

The company recently reduced its production to 1 million bicycles, but maintained its profit of 30 million dollars. What greater number of bicycles had the company previously produced to make the same profit? Round your answer to the nearest tenth.

Answers

Answer:

1.3 million bicycles!

Step-by-step explanation:

Answer:

1.3 million bicycles

Step-by-step explanation:

got it right on edge 2020

Which is the graph of f(x)=sqrt x?

Answers

Answer:

B

Step-by-step explanation:

a parabola would be x2 since it is square rooted it would be a curved so the answer would be the second graph

evaluate 2x squared -1 when x=3

Answers

Hey there! :)

Answer:

17.

Step-by-step explanation:

Given:

f(x) = 2x² - 1

Substitute in 3 for x:

f(3) = 2(3)² - 1

f(3) = 2(9) - 1

Simplify:

f(3) = 18 - 1

f(3) = 17.

explain me step by step plz​

Answers

Answer:

28

Step-by-step explanation:

We know that the heights and bases of all of the parallelograms will be the same because they are equal, therefore, since the height of 2 parallelograms is 14, the height of one parallelogram is 14 / 2 = 7. Since the areas of all of the parallelograms are congruent, the area of one parallelogram is 308 / 4 = 77. The parallelogram area formula is A = bh where A, b and h are area, base and height respectively and we know both the area and height so we need to solve for b. Doing so we get 77 = b * 7 so that means b = 11. The length of y is two bases + 6 and since we know the base is 11, y = 11 * 2 + 6 = 22 + 6 = 28.

Answer:

28 cm

Step-by-step explanation:

The 4 parallelograms are congruent.

The height and base of each parallelogram are equal.

[tex]h=\frac{14}{2}[/tex]

[tex]h=7[/tex]

Area of each parallelogram:

[tex]A=\frac{308}{4}[/tex]

[tex]A=77[/tex]

Apply the formula for the area of a parallelogram.

[tex]A=bh[/tex]

[tex]b=base\\h=height[/tex]

Solve for base.

[tex]77=b(7)[/tex]

[tex]\frac{77}{7} = b[/tex]

[tex]11=b[/tex]

The sum of 2 bases of the 2 parallelograms and 6 centimeters is the value of y.

[tex]y=11+6+11[/tex]

[tex]y=28[/tex]

Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z? The radius is the constant term, z. The radius is the constant term, z, divided by 2. The radius is the square root of the constant term, z. The radius is the square of the constant term, z.

Answers

Answer:

The radius is the square root of the constant term, z

Step-by-step explanation:

makes sense, also took the test :)

Answer:

C. The radius is the square root of the constant term, z.

Step-by-step explanation:

Hope this helps :)

Three angles fits exactly around a point. Two of the angles are equal.The diffrence between the largest and the smallest angle is 30.Find the size ofthe three angles

Answers

Answer:

The angles are 110, 110 and 140

Step-by-step explanation:

Let the equal angles be x.

So we have angles x, x and another third one

Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x

Since they are angles at a point, adding the three together will make or give 360.

Thus,

x + x + x + 30 = 360

3x + 30 = 360

3x = 360-30

3x = 330

x = 330/3

x = 110

So the other third angle is 110 + 30 = 140

So the angles are 110, 110 and 140

Simple and easy question
please help

Answers

Answer:

Volume = πr²h

= 3.14 * 5² * 4

= 314 cubic yards

Answer:

[tex]314 yd^3[/tex]

Step-by-step explanation:

Hey there!

Volume = π r^2 h

Plug in,

(3.14)(5^2)(4)

5•5 = 25

25 • 4 = 100

3.14 • 100

= 314

Hope this helps :)

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