1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miv72 [106K]
3 years ago
13

In a polygon with 100 sides, 99 of the angles add up to 17,595°. What is the measure of the last angle?

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer:

45 degrees

Step-by-step explanation:

The formula to find the sum of all the interior angles in an "n-gon" (n is a variable that stands for the numbers of sides, ex) 20-gon --> 20 sided polygon) is 180(n-2).

Let's plug in 100 to find the sum of all the interior angles in a 100-gon.

180(100-2)

I would rather distribute than simplify the parentheses and have to multiply 180 by 98.

So:

18000-360

= 17640 degrees

[REMEMBER, IT WAS NOT GIVEN THAT THIS POLYGON IS REGULAR, SO <u>DO NOT</u> DIVIDE 17640 BY 100]

Now to find the last angle, we can just subtract since we are given the value of 99 of the 100 angles (17595 degrees).

So the last angle is 17640-17595=45 degrees

You might be interested in
Using the net below, find the surface area of the triangular prism.
Luden [163]

Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is b*h/2.

Hope this helps :)

4 0
2 years ago
Read 2 more answers
A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
Anton [14]

One laptop costs 32,750.

He bought 5 laptops.

So, 5 x 32,750 = 163,750.

Let d = cost of one desktop.

163,750 + d = 229,600.

Solve for d to find your answer.

6 0
3 years ago
I need the answers for 6,7,8,9,10,11 pls fast
Natalka [10]

Answer:

6) common denominator = 54

7) common denominator = 80

8) common denominator = 108

9) least common denominator = 10

10) least common denominator = 24

11) common denominator = 21


Step-by-step explanation:

6) common denominator of 1/6 , 1/9

example: A/B where A is de numerator and B is the denominator.

common denominators are numbers that have te same composition

1/6 , 1/9 ⇒ if we want to add this fractions we need to find the common denominator.

therefore: (1/6)*(9/9) , (1/9)*(6/6) ⇒ ((1*9)/(6*9)) . ((1*6)/(9*6)) ⇒ 9/54 , 6/54

the common denominator is 54

7) 3/8 , 3/10

(3*10)/(8*10) , (3*8)/(10*8) ⇒ 30/80 , 24/80

common denominator of this two fractions is 80

Note: We can see that the common denominator can be find just by multiplying the denominators. in 7) 6*9=54 and in 8) 10*8=80. This is because in this cases we are asked just for the common denominator

9) 1/9 , 5/12 ⇒ common denominator = 9*12 = 108

10) Least common denominator of 2/5 , 1/10

in this case is the smmallest number that the denominator have in common:

first, from 2/5: denominator=5

multiples of 5: ⇒5, 10, 15, .........

then from 1/10: denominator=10

multiples of 10 ⇒ 10, 20, 30,....

The least common denominator is the smalles number this two denominators have in common. We can see that this number is 10.

There are other ways because you should also think of it as the minimun common denominator. 5 =5*1 and  10 = 2*5 (minimun expresions)

the least minimun denominator willbe the one that includes all de numbers included in their minimum expresion without making it doble (just the amount of times to make the denominator number in each fraction).

therefore we would know that the least common denominator in this fractions is: 1*2*5 = 2*5 = 10

But just have fun and make it simple

10. least common denominator for: 5/6 , 3/8

first: 5/6 ⇒ denominator: 6, so ⇒ 6, 12, 18, 24, 30, 36.....

then: 3/8 ⇒ denominator: 8, so ⇒ 8, 16, 24. 32, 40....

least common denominator for this fractions is ⇒24

or also:

5/6 ⇒ denominator is 6 ⇒ 6=2*3

3/8 ⇒ denominator is 8 ⇒ 8=2*2*2

least common denominator for this fractions is ⇒ 2*2*2*3 =24

11. common denominator of: 1/3 , 2/7

because in this case 3 and 7 are in their minimum expresion ⇔ 3=1*3 & 7=1*7

we can jus find the common denominator by multiplying both denominators:

7*3=21

Hope it helps.

8 0
3 years ago
HELPPPP me I need help don’t know the answer
Elanso [62]
It’s c because when the number of simply it gets u that
8 0
3 years ago
Read 2 more answers
A parabola opening up or down has vertex (0,0) and passes through (12, -18). Write its
denis-greek [22]
The equation is y= -1/8x^2
4 0
3 years ago
Other questions:
  • Given the quadratic equation 8-6x=-2x^2 complete the following:
    11·1 answer
  • Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression ,
    13·1 answer
  • Find the value of the variable and LN if M is between L and M <br><br> LM=4a,MN=8a,LM=40
    9·1 answer
  • Solve for y.<br>8^3-3y=256^4y
    12·1 answer
  • In a school with 117 seventh-grade students and about 29 students per class, the number of seventh-grade classes is about
    8·2 answers
  • The diagonal of a square is 60 in, as shown
    5·1 answer
  • Determine the slope from the given graph below:
    9·2 answers
  • Find the equation of the linear function represented by the table below in slope-intercept form
    7·1 answer
  • A cleaning solution uses 5 cups of soap for every 2 cups of vinegar. If Emery put 4 cups of soap in a container, how
    9·1 answer
  • Find the compound interest on $12000 for 3 years at 10% per annum compounded annually.​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!