An interior angle of a regular polygon has a measure of 120°. What type of polygon is it? decagon hexagon quadrilateral octagon

Answers

Answer 1

The answer is Hexagon

Answer 2

The correct answer is B. Hexagon

Explanation:

In geometry, a polygon refers to a figure with three or more sides and therefore at least three angles, this includes triangles, pentagons, octagons, etc. Additionally, polygons can include irregular or regular sides and angles.

In the case of hexagons, if a hexagon is regular, this includes six sides of the same length and six angles with the same measure. Moreover, each of the angles is120° considering the total of internal angles in a hexagon is always 720° and therefore 720° divided into six equal angles is equal to 120°.

Therefore, if an interior angle of a regular polygon (figure with equal sides and angles) has a measure of 120° the polygon is a hexagon because the only polygon that can have multiple sides and angles each with 120° and form a regular polygon is the hexagon.


Related Questions

What value(s) of x make the equation x2 - 18x + 81 = 0 true?

Answers

1. x =(18-√648)/2=9-9√ 2 = -3.728
2.  x =(18+√648)/2=9+9√ 2 = 21.728
To solve for the values of X that will make the equation true, all you have to do is factor this trinomial. Basically find 2 numbers that multiply to give you 81 and also add to give you -18, in this case the numbers would be -9 and -9. Since -9 + -9 = -18 and -9 • -9 = 81. Thus the factored expression would be like this:

(X-9)(X-9) = 0
X - 9 = 0 and X - 9 = 0
In both cases the solutions for X is that X is equal to 9.

The value of X that will make this equation true, is if X is equal to 9.

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answers

The sides of a right triangle are
[tex]a=8-5=3 \\ b=6-4=2 \\ \\A=A_{rectangle}-A_{triangle}=8\times 6- \frac{ab}{2} =48-\frac{3\times2}{2}=48-3=45[/tex]

Answer:

The area of shaded region is 45 square units.

Step-by-step explanation:

The length of the rectangle is 8 and the breadth is 6.

Area of rectangle is

[tex]A_R=l\times b[/tex]

[tex]A_R=8\times 6=48[/tex]

The area of rectangle is 48 square units.

Since the opposite sides of a rectangle are equal, therefore the legs of the right angled triangle are

[tex]l_1=8-5=3[/tex]

[tex]l_2=6-4=2[/tex]

The area of right angled triangle is

[tex]A_T=\frac{1}{2}\times l_1\times l_2[/tex]

[tex]A_T=\frac{1}{2}\times 3\times 2=3[/tex]

The area of triangle is 3 square units.

The area of shaded region is

[tex]A=A_R-A_L=48-3=45[/tex]

Therefore the area of shaded region is 45 square units.

When the new book Units of Fire was released, Jonathan decided to read it in one sitting for his book report. He started at 11:00 a.m. on Saturday morning and read until 8:00 p.m. that night, for a total of 9 hours. For school, however, he needed to record the exact number of minutes he spent reading.

How many minutes did he read?
...?

Answers

9hours x 60minutes = 540 minutes
(Presuming he actually sat and read the whole time)
Answer:

The total time in minutes that he spent in reading is:

                                540 minutes.

Step-by-step explanation:

We are asked to find the total number of minutes Jonathan spent on reading on Saturday.

It was given that he read for a total of 9 hours.

Hence, we will convert this time to minutes by using the conversion:

As 1 hour= 60 minutes.

Hence, 9 hours= 9×60 minutes= 540 minutes.

Hence, the total time Jonathan spent in reading on Saturday is:

                               540 minutes.

determine the exact value of the trig ratios:
cos(13pi/4)
cot(11pi/2)
sec(5pi/3)

Answers

This isn't the only trick you'll need, but it will help you get these expressions in terms you'll be able to handle more easily. For example, for the cot example above: cot(-pi/2) = cos(-pi/2)/sin(-pi/2) = 0/-1 = 0

The exact values of the trig ratios are sqrt(2)/2, 0, and 2, for cos(13pi/4), cot(11pi/2), and sec(5pi/3) respectively.

To determine the exact value of the trig ratios, we can use the unit circle and trigonometric identities.

cos(13pi/4):

The angle 13pi/4 represents a full circle plus one revolution, so the cosine value is the same as cos(pi/4).

cos(pi/4) = sqrt(2)/2

cot(11pi/2):

The angle 11pi/2 represents 5 full circles plus a half revolution, so the cotangent value is the same as cot(pi/2).

cot(pi/2) = 0

sec(5pi/3):

The angle 5pi/3 represents 2 full circles plus two-thirds of a revolution, so the secant value is the same as sec(pi/3).

sec(pi/3) = 2

To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 62 numbers (1 through 62). The order in which the selection is made does not matter. How many different selections are possible? ...?

Answers

Final answer:

The number of different selections possible when picking 6 numbers from a collection of 62 numbers for a LOTTO game is 62,891,499.

Explanation:

The question asks how many different selections are possible when picking 6 numbers from a collection of 62 numbers for a LOTTO game. Since the order of the selection does not matter, we can use the concept of combinations to solve this problem. The formula for combinations is given by C(n, r) = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items selected. Plugging in the values, we have C(62, 6) = 62! / (6! * (62-6)!), which simplifies to 62! / (6! * 56!). Using a calculator or computer program to calculate the factorial, we find that C(62, 6) is equal to 62,891,499.

Final answer:

To find the number of different selections possible in a lotto where 6 numbers are chosen from 62, we use the combination formula: C(62, 6). This yields 45,057,474 possible selections.

Explanation:

Calculation of Different Selections in Lotto

To calculate the number of different selections possible when choosing 6 numbers from a set of 62 without regard to the order of selection, we use the combination formula:

The combination formula is C(n, r) = n! / (r! * (n-r)!), where C(n, r) is the number of combinations, n is the total number of items to choose from, r is the number of items to be chosen, and ! denotes factorial.

In this case, n = 62 and r = 6:

C(62, 6) = 62! / (6! * (62-6)!) = 62! / (6! * 56!)

Calculating the factorials and the division, we find that there are 45,057,474 possible selections.

Therefore, the probability of winning by correctly selecting all 6 numbers is 1 in 45,057,474, making lottery tickets a game of very low probability for individual success.

Solve the inequality 6x - 8 > 4x + 26

x < 9

x < 17

x > 9

x > 17

Answers

6x > 4x+26+8
2x > 34

so,
x > 17 

Answer:

The Answer is D.  x > 17

Hope This Helps!

An organic farm uses 3/7 of the land to grow potatoes and 2/5 of the land to grow spinach. The remaining land is used to grow tomato plants. What fraction of the land is used to grow tomato plants?

Answers

Fraction of the land is used to grow tomato plants=1-(fraction of the land to grow potatoes + fraction of the land to grow spinach)


Land used for to grow tomato plants=1-(3/7 + 2/5)
=1-(15+14)35
=1-29/35
=(35-29)/35
=6/35

Answer: this organic far uses 6/35 of the land to grow tomato plants.

I need help with subtracting polynomials: (m^2 + 6m - 5) - (7m² - 5m + 1)
A.8m² + m - 4
B.-8m⁴ + 11m - 4
C.-7m² + m - 6
D.-6m² + 11m - 6

Answers

It is D. -6m^2 + 11m - 6
Hope this helps you

To subtract the polynomials, change the signs of the second polynomial and combine like terms. The result is -6m² + 11m - 6, which is option D.

To subtract the given polynomials, we need to subtract the second polynomial from the first one. We do this by changing the signs of the second polynomial and then combining like terms with the first.

(m² + 6m - 5) - (7m² - 5m + 1) becomes (m² + 6m - 5) + (-7m² + 5m - 1).

Now, combine the like terms:

m² - 7m² = -6m²,6m + 5m = 11m,-5 + (-1) = -6.

So, the simplified form of the polynomial after subtraction is -6m² + 11m - 6, which corresponds to option D.

Determine if the ordered pair is a solution of the equation.

Is (2,4) a solution of y = 10 -3x?

Question 3 options:
True
False

Answers

True,
4=10-3 (2)
4=10-6
4=4

Before beginning voice lessons, Justin already knew how to sing 1 piece, and he expects to learn 2 new pieces during each week of lessons. Write an equation that shows the relationship between the number of weeks x and the number of pieces learned y. Then Graph.

Answers

Correct answer: y = 2x

Hope i helped

Please, press " THANKS " button. (;

What is the missing number in the synthetic-division array?

Answers

The correct answer for this would be 7. The missing number in the synthetic division array is 7. So how did we get 7. Here is the step by step process.
-1 in the left most part is the coefficient of (x+1= 0) which makes it -1. Now, bring down 3, then multiply it by -1, and this given you -3 on the second row. -4 + -3 would be -7. Continue with the same step. -7 x -1 would be 7. And this is how we got the answer for the part with the question mark. Hope this answer helps.

A store is having a clearance sale where merchandise on the sales rack is reduced by 80% from the original price. If a jacket was originally priced at $76, what is the sale price.

Answers

76 - 80% = 15.2 
$15.20 is your answer :)

A liquid-filled glass pyramid is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectangular base that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?

Answers

First we calculate surface of base.

10 * 6 = 60 feet^2

The Volume of pyramid is calculated by formula:
V = B*H/3

H- height of pyramid
B- surface of base of pyramid

We have both of those so all we have to do is to finish calculation:

V = 60*15/3 = 300 feet^3

Answer is 300 qubic feets

Answer:

300 cubic feet

Step-by-step explanation:

Is 3.4 a rational or irrational number? Please explain why, thanks.

Answers

Rational, 3.4 can be written as a fraction and is noncontinuous
"An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point."

Answer:

Yes it is a rational number

I just did it and I passed

500/100 in simplest form

Answers

500/100 = 50/10 = 5/1

hope this helps you
5/10 i think hope this hepls

whats the difference of 1cm and 1cm2

Answers

1 cm is regular

but 1 cm 2

means that you multiply 1 by 1 which is 1

for example if you have 15cm 2 you would multiply 15 by 15 and get 225

and 15 cm 3 would be 15*15*15 and you would get 3375

Final answer:

1 cm is a unit of length equal to [tex]10^{-2}[/tex],  meter while [tex]1 cm^2[/tex]is a unit of area equal to 10^{-4} square meters.

Explanation:

The difference between 1 cm and 1 cm2 is that 1 cm is a measure of length, while 1 cm2 is a measure of area. To clarify, 1 cm is equivalent to 10-2 meters (or 0.01 meters), and it represents a one-dimensional measurement. In contrast, 1 cm2 is the area of a square with 1 cm long sides. When converting to square meters (m2), remember that the conversion factor for area is the square of the conversion factor for length. Therefore, 1 cm2 equals (10-2 m)2 or 10-4 m2.

At the grocery store, you buy a carton of milk for $1.95, a loaf of bread for $0.85, and a box of cereal for $2.05. Use mental math to find the total cost of the groceries

Answers

total cost is 4.85 dollars to do this simply add them together

State the importance of examining a function analytically as well as graphically.?

Answers

Graphs are a good means of representing data and functions, however, being able to examine a function analytically is just as important.

Answer:

Sometimes it is good to examine function analytically and sometimes it is good to examine function graphically it also depends on the nature of the function.

Moreover, when the function is examined graphically it does not shows the discontinuity of a single point, but it can be examined clearly by analytically.

Also, plotting the graph function is apparently clear by one view but it is not with examining the function analytically.

Solve the following equation for B
y=mx+b

Answers

The answer is:
__________
b = y − mx .
__________
Explanation:
__________
Given:
__________
y = mx + b ; 
_________
We want to isolate "b" on one side of the equation to solve for "b".
_______________________
→ y = mx + b ; Subtract "mx" from BOTH sides of the equation; to isolate "b" one side of the equation; and solve for "b":
____________________________________
y = mx + b → y − mx = mx + b − mx ;
____________________________________
                  → y − mx = b ; ↔ b = y − mx
____________________________________
                  → b = y − mx .
____________________________________
In the slope intercept form, or y = mx + b, m represents the slope, and b represents the y-intercept.

To solve for b, you just have to replace x and y in the formula with the given coordinates and replace m with the calculated value.

For example, you have to find the equation of a line with the coordinate points (1, -2) and (6, 5). Replace one set of ordered pairs in the slope intercept formula.

Graph both of the coordinate points in a coordinate plane, or a graph, to find it's slope. Use rise over run. Simply count how many points it takes to go the other ordered pair.

The slope of (1, -2) and (6, 5) is 7/5.

If you found the slope, plug those numbers in.

I used (1, -2). I plugged in the slope.
-2 = 7/5(1) + b

You just have to solve for b by simplifying the equation.

i really need help with my homework.

factorise 10x+25

Answers

5(2x + 5), because 10x and 25 only have 5 in common, which is why it's outside the bracket, and 5 × 2x is 10x, and 5 × 5 is 25. Hope this helps!
the answer it        5(2x+5) hope this helps

A bus makes 28 stop every 2 hours. how many stops does it make 3 hour? in 4 hours?

Answers

3 hours; 42 stops
4 hours; 56 stops
1 hour; 14 stops

Which expression is equal to the number of grams (g) in 2.43 kilograms (kg)?

Answers

1 kilogram = 1,000 grams.

2.43 kilometers = 2,430 grams

Answer:

the answer would be D

Step-by-step explanation:


It takes for three gardeners 90 minutes to weed a garden. If the job is to be done in only 15 minutes, how many more gardeners need to be put on the jobs?

Answers

3 gardeners :90 minutes
? Gardeners : 15 minutes
1 gardener : 270 minutes
? Gardeners : 270/15
18 gardeners
The answer is 15 gardeners.
Thus, 15 gardeners would be needed if the job is to be done in only 15 minutes.

Simplify 659/8. What is the answer rounded to the nearest whole number?

Answers

659/8 to the nearest whole number is 82.
i got 82 3/8 but percentage is 82.375 so the 3 is less then 5 so the answer is 82

The intensity I of light bulb varies inversely as the square of the distance d from the light bulb. Suppose I is 250 w/m^2 when the distance is 5 m. How much farther would it be to a point where the intensity is 40 w/m^2? ...?

Answers

Final answer:

The intensity of a light bulb varies inversely as the square of the distance from the light bulb. To find the distance where the intensity is 40 w/m², use the inverse square law formula to solve for the distance.

Explanation:

The intensity of a light bulb varies inversely as the square of the distance from the light bulb. This means that as the distance increases, the intensity decreases.

If the intensity is 250 w/m² at a distance of 5 m, and we want to find the distance where the intensity is 40 w/m², we can use the inverse square law formula:

I₁d₁² = I₂d₂²

Plugging in the values, we get:

250 × (5)² = 40 × (d₂)²

Simplifying, we find that d₂² = 250 × (5)² / 40

d₂² = 312.5

Therefore, d₂ = √312.5 ≈ 17.68

So, it would be approximately 17.68 - 5 = 12.68 meters farther to a point where the intensity is 40 w/m².

Learn more about Inverse square law here:

https://brainly.com/question/30562749

#SPJ12

Sure, let's solve it step by step.

First, we know that the initial intensity (I1) is 250 w/m^2 and the initial distance (d1) is 5 m. We are asked to find a distance where the intensity is 40 w/m^2, which would be our final intensity (I2).

According to the inverse square law, the intensity of light is inversely proportional to the square of the distance from the source, i.e., I ∝ 1/d². Therefore, we can say that I1 * d1² = I2 * d2². This equation allows us to find the distance at which the intensity is I2.

So, substituting the given values in the equation, we have 250 * (5)² = 40 * d2².

Now, we can solve for d2. Rearranging terms, d2 = √((250 * (5)²) / 40), which will give us d2 = 12.5 m.

So, the distance at which the intensity of light is 40 w/m^2 is 12.5 m.

However, we have been asked to find the additional distance that needs to be traveled to reach a point where the intensity is 40 w/m^2. This additional distance is the difference between the final distance (d2) and the initial distance (d1), that is, distance_travelled = d2 - d1 = 12.5 - 5 = 7.5 m.

Therefore, you would need to travel an additional 7.5 m to reach a point with an intensity of 40 w/m^2.

Learn more about Inverse Square Law here:

https://brainly.com/question/30562749

#SPJ12

What is the lateral surface area of a cylindrical-shaped candle with a radius of 4 cm and a height of 14 cm? (Use 3.14 for pi .)
A.
452.16 sq cm
B.
56 sq cm
C.
351.68 sq cm
D.
1,406.72 sq cm

Answers

I hope this helps you

Answer:

it is c

Step-by-step explanation:

Jen and Heather went to lunch. When the bill came Jen discovered that she had only 8.00 dollars, luckly Heather had enough money to pay the other part or 3/5 of the bill. ...?

Answers

To answer this question, let's analyze the given problem above.
Given that Heather paid the other part of the bill which is 3/5 of the bill, then this means that, Jen paid only 2/5 of the bill. Now that Jen has only 8 dollars, this 8 dollars is equivalent to 2/5 of the bill. The next thing we are going to find out is how much did Heather pay which is 3/5 of the bill. 
So 2/5 = 8 dollars
     3/5 = ?dollars
Therefore, the answer would be $12. The amount that Heather paid is $12. Hope this answer helps.

Which arrangement shows 4.09,4 2/3 ,21/4 and 4.7 in order from least to greatest?

Answers

4.09 < 4 2/3 < 4.7 < 21/4

Erica went shopping for new clothes for school. She bought a pair of jeans for $70.19 and several shirts for $8.63 each. If x represents the number of shirts she bought, which of the following equations should be used to find y, the total cost of Erica's shopping trip? Explain your choice.


plzzzz helpppp

Answers

it's at least y=$8.63x+$70.19
Y=70.19+(8.63*X)

To find the total she spent all you have to do is add everything together. The cost of the pants was $70.19, to find how much she spent on shirts you take the amount each shirt was, which in this case is $8.63, and multiply it by how many shirts she bought. We don't know how many shirts she bought so we use the varriable of X to represent that number.

(I used the asterisk * to indicate the multiplication)

A laptop computer is purchased for $1550 . after each year, the resale value decreases by 25% . what will the resale value be after 3 years?

Answers

The resale value after 3 years would be 387.50. Hope this helps!
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