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
Murljashka [212]
3 years ago
7

If the difference between the exterior angle of a n sided regular polygon and an (n 1) sided regular polygon is 12. find the val

ue of n.
Mathematics
1 answer:
Ann [662]3 years ago
4 0
Sum of exterior angle of a polygon is 360°
An n-sided polygon has n equal exterior angles.

360/n - 360/(n + 1) = 12
360(n + 1) - 360n = 12n(n + 1)
12n^2 + 12n = 360
n^2 + n - 30 = 0
(n - 5)(n + 6) = 0
n = 5 or n = -6

Therefore, n = 5
You might be interested in
How do you do this?<br> Please help
Assoli18 [71]

Answer:

36 pencils

Step-by-step explanation:

Let h and p represent the number of highlighters and the number of pencils, respectively.

Then h + p = 45, and h = 45 - p.

Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.

substituting 45 - p for h in 2h + 0.333p = 30, we get:

2(45 - p) + 0.333p = 30, or

90 - 2p + 0.333p = 30

Combine the constants:  60 = 2p - 0.333p, or 60 = 1.667p

Then p = 60/1.667 = 35.9928, or 36.

Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30.  This shows that these calculations are correct.

7 0
3 years ago
Read 2 more answers
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of
kari74 [83]
Well There isn't enough evidence to tell how many hours each of them worked. Yu stated how long they each traveled separately but did not state the amount of hours worked, or any proof for it.

But Assuming that by worked you mean traveled.
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of hours each person worked.So 20 is 6 times the number of hours Annie & Brian Worked + 10
(From the 10 extra hours Annie worked from +2)
10/6=1 hour and 40 min
So Brain worked/traveled for 1 hour and 40 minuets. 
Then we find Annie's time. Add 2 hours to 1 hour and 40 and you get
3 hours 40 times that by 5 and you get 18 hours and 20 min
So Annie worked/traveled for 18 hours and 20 min
I hope this helped
4 0
3 years ago
I didn’t mean to post this and I can’t delete it so how are you and how’s your day and if you know how to delete things please t
olchik [2.2K]
I don’t feel like doing school and I keep getting distracted by this app
5 0
3 years ago
The cost of an item is $75. What will the total cost be with 9% tax?
Morgarella [4.7K]

Answer:

81.75

Step-by-step explanation:

75*1.09 = 81.75

7 0
3 years ago
Read 2 more answers
carol's father was 24 years old when carol was born, now he is 4 times as old a carol how old is carol
tensa zangetsu [6.8K]

Answer:

24 - 24 = 0 (carols age past tense)

24 x 4 = 96

96 - 24 = 72 (present tense)

carol is now 72 yr

8 0
2 years ago
Other questions:
  • In verbal expression
    10·1 answer
  • I'm sorry but these are the multiple choice answers.
    7·1 answer
  • A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar.How much oil should you use to make a total of 28 te
    5·2 answers
  • QUICK!!!
    10·2 answers
  • 1 1/3 x 5/8 A.3/4 B.4/5 C.5/6 D.5/8​
    11·1 answer
  • The cost of y (in dollors) to spans an evening bowling is proportional to the number of games x that are bowled. It costs $17.50
    9·1 answer
  • Given that 3(x - 1) - 2(x - 1) = 7, the value of x is
    6·2 answers
  • -32 = -3 + 7x + 3(x – 2) <br> Show you work
    13·1 answer
  • (1) 16 liters of kerosene is needed for 12 stoves 14
    6·2 answers
  • Express (x + 10)^2 as a trinomial in standard form.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!