<h3>________________________________________________</h3>
Step-by-step Solution for Part-a:
<u>We know that:</u>
- Row-1: 20 seats
- Row-2: 20 + 11
- Row-x: 20 + (11x - 11)
Since the number of rows in rows x is 20 + (11x - 11), the formula to calculate the number of seats in each row is 20 + (11x - 11).
<h3>________________________________________________</h3>
Step-by-step Solution for Part-b:
<u>We know that:</u>
- y rows = 174 seats
- Obtained rule from part-a: 20 + (11y - 11)
<u>Solution:</u>
- 20 + (11y - 11) = 174 rows
- => 20 + 11y - 11 = 174 rows
- => 9 + 11y = 174 rows
- => 11y = 174 - 9 rows
- => 11y = 165
- => y = 165/11
- => y = 15
Hence, the row which has 174 seats is row 15.
<h3>________________________________________________</h3>
Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
If each game costs 2 tokens, 120 tokens would equal 60 games.
Answer:
1. Supplementary angles
2. alternate exterior
3. verticle angles
4. alternate interior
The box matches the numbers. 1 is the answer in the first box, and so on.
Let me know if you have any questions
Answer:
he faked too much
Step-by-step explanation:
