Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2) . 180 degrees.
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Showing 0 comments:
Be the first to comment!
To solve this example are needed these knowledge from mathematics:
Next similar examples:
- In a 2
In a thirteen sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal and the other four are 18° less than each of the equal angles. Find the angles. .
- Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
- Sum of two primes
Christian Goldbach, a mathematician, found out that every even number greater than 2 can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers.
- Rotatable tower
Rotatable tower situated in the city center has ground shape of a regular polygon. If the tower is rotated by 14.4° around its centerpiece it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view of the.
- Reference angle
Find the reference angle of each angle:
Tiles are stacked in rows on the trapezoidal shaped roof. At the ridge is 15 tiles and each subsequent row has one more tile than in the previous row. How many tiled is covered roof if lowermost row has 37 tiles?
- AP - basics
Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
- AS sequence
In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
- Sequence 3
Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
- Sequence 2
Write the first 5 members of an arithmetic sequence a11=-14, d=-1
- AP - simple
Determine the first nine elements of sequence if a10 = -1 and d = 4
- AS - sequence
What are the first ten members of the sequence if a11=22, d=2.
Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
- Third member
Determine the third member of the AP if a4=93, d=7.5.