Answer:
Step-by-step explanation:
Polygon Diagonals are a pattern that follows a specific rule which can be used through a specific formula. Remember that Math focuses on patterns to create equations that help to study them, and this case is not an exception.
The equation for polygon diagonals is
Where refers to the number of sides of the polygon.
You see, a diagonal is defined as the union between two non-consecutive vertices. For a convex n-sided polygon, there are going to be n vertices, and we can draw from each vertex, then we multiply this by , because that's the total number of sides.
In the end, we divide by 2, because with the method described, we will have double number of diagonals.
Answer:
k = -2
Step-by-step explanation:
14+4k = 2-2k
4k+2k = 2-14
6k = -12
k = -12/6
k = -2
It is always an acute angle, even if the angle was the minimum 1 degree the complement is still 89 degrees which is still acute
First of all, let's make the following observations:
15 is an integer, so in particular it is rational. The sum of two rational is rational. This means that is irrational if and only if is irrational.
Similarly, since 17 is rational and the multiplication of two rationals is rational, we have that is irrational if and only if is irrational.
The proof that is irrational is the following: suppose by contradiction that we could write
where a and b are two integers with no common factors.
Squaring both sides, we have
So, is a multiple of 3. This happens if and only if a itself is a multiple of 3. So, we can write and the expression becomes
So, is a multiple of 3 as well, and this happens if and only if b is itself a multiple of 3.
So, we started with the assumption that we could write as a reduced fraction, but this assumption led to a contradiction.
We deduce that is irrational, and so are and
Answer:
1) -2x
2) 6x - 17
3) -16x
4) 3m - 5
5) 2m
6) 2x - 9
7) 9x
8) 6x + 8
Step-by-step explanation:
1) = x(7-9) = x(2) = 2x
2) x(-2+8) - 7 - 10 = x(6) - 17 = 6x - 17
3) x(-10-6) + 3 - 3 = x(-16) + 0 = 16x
4) m(2+1) - 6 + 1 = 3m - 5
5) m(10-8) = m(2) = 2m
6) x(1+1) - 5 - 4 = 2x - 9
7) x(4+5) = x(9) = 9x
8) x(7-1) + 3 + 5 = 6x + 8