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
alina1380 [7]
3 years ago
14

Given that 99°, 153°, 162° are 3 of the interior angles of a n-sided polygon and that the remaining interior angles are 141° eac

h, find n.
Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

n = 9

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Given 3 angles and the remaining angle of 141° then there are

141(n - 3) angles of this size

Then

99 + 153 + 162 + 141(n - 3) = 180(n - 2) , that is

414 + 141n - 423 = 180n - 360

141n - 9 = 180n - 360 ( subtract 141n from both sides )

- 9 = 39n - 360 ( add 360 to both sides )

351 = 39n ( divide both sides by 39 )

9 = n

The polygon has 9 sides

You might be interested in
Solve for c help me out
Law Incorporation [45]

Answer:

-7/13

Step-by-step explanation:

6 0
3 years ago
How many whole servings of 3/2 cups are in 67/3 cups of fruit punch
Lerok [7]
14 8/9 cups of fruit punch
4 0
3 years ago
Find the next term in the sequence 15 , 34 , 55 , 78 , 103
omeli [17]

The next term in the sequence will be increased by 27. The difference between 15 and 34 is 19 The difference between 34 and 55 is 21 The difference between 55 and 78 is 23 The difference between 78 and 103 is 25 Following this pattern, the next number will be 130

6 0
3 years ago
What is the volume and surface area of the figure below?
Artist 52 [7]

Answer:

51.8125 yd (not rounded)

3 0
3 years ago
William wants to buy a new skateboard that costs $48.80. He has saved ¼ of the amount necessary. How much money has he saved?
vesna_86 [32]

Answer:

He saved 12.2 dollars

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Angles 1 and 2 are called?
    15·2 answers
  • The simple interest formula is A = P(1 + r)t where P represents the amount originally deposited, r is the interest rate, and A i
    5·1 answer
  • Ms. Dyna a mathematics teacher has a salary of 120 000$ per month, if salary increases by 9% calculate the amount of extra she r
    6·1 answer
  • PLS HELP I NEED TO GET THIS RIGHT WILL MARL BRAINLIEST
    12·1 answer
  • There are 56 fish in a tank and each fish is yellow blue or black.
    7·1 answer
  • Math Question Who ever helps gets brainlist
    14·1 answer
  • A cupboard contains 5 pairs of shoes, each of a different style. How many ways are there to select 4 of the shoes from the cupbo
    14·1 answer
  • Write an equation in slope intercept form for the line that passes through (-20,-6) with slope m=1/4
    8·1 answer
  • Help, please! Struggling!
    11·1 answer
  • andi did a test. the test had 20 questions. for each correct answer he gains 5 points and if he errs he loses 2 points. andy ans
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!