In my opinion the concepts that belong in the branch of mathematics would be algebra, geometry, trigonometry, calculus, statistics, and probability. All of the following are known the be main branches of pure mathematics.
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
1. D linear
2. A quadratic
3. B exponential
4. C rational
Answer:
<u>131 seats</u> are in the 30th row.
Step-by-step explanation:
The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.
Now, to find the number of seats in the 30th row.
So, we get the common difference(
) from the arithmetic sequence first:
Thus, 
So, the first tem 
= 15.
The number of last row (
) = 30.
Now, to get the number of seat in the 30th row we put formula:
Therefore, 131 seats are in the 30th row.
