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
Can someone help me with this question?
NikAS [45]
D is correct. Hope this helped.
4 0
3 years ago
Read 2 more answers
Jace has two number cubes the red cube has the following numbers on the faces 1,1,2,2,5,6 the blue number cube has the following
Lerok [7]

Answer: Jace is true

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Can someone please help me with this please I really need help
Lubov Fominskaja [6]

Answer:N

Step-by-step explanation:

6 0
2 years ago
True or False:
DIA [1.3K]
True. If you're just changing the form, yes. But remember when you change one side of an equation, you must change the other in the same way.
7 0
3 years ago
Read 2 more answers
(ANSWER FOR FREE BRAINPOINTS!) (FIRST TO ANSWER GETS BAINLIEST) The local park has a rectangular swimming pool that measures 40
iren [92.7K]

Answer:

9 yards

Step-by-step explanation:

Since both pools are similar, therefore the ratio of their length and width would be equal. That is:

Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool

Thus, we can set up a proportion as shown below:

Let the width of the new swimming pool be x.

40 : 24 = 15 : x

\frac{40}{24} = \frac{15}{x}

Cross multiply

40*x = 15*24

40x = 360

Divide both sides by 40

x = \frac{360}{40}

x = 9

The width of the new swimming that is smaller would be 9 yards.

4 0
2 years ago
Other questions:
  • Please Help with this!!
    9·1 answer
  • Use synthetic division to perform the indicate division. Write the poly nominal in the form p(x) = d(x)q(x) + r(x)
    15·1 answer
  • A2+(b−c); a=−8, b=17, c=21
    10·1 answer
  • Solve 3 x cube minus 4 x square​
    5·1 answer
  • Solve for x.<br> -4(2x + 5) + 2 + 2 = -11
    9·1 answer
  • -10.35/23/24 what is my answer
    11·1 answer
  • PLSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPP
    12·1 answer
  • Solve for x please and thank uou
    10·2 answers
  • The Rock has an 88-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 6 gallons per minute. Show all
    15·1 answer
  • If xx and y vary directly and y is 21 when x is 7, find y when x is 5
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!