Given that we assume that all the bases of the triangles are parallel.
We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.
Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.
Answer:
75.35
Step-by-step explanation:
I hope this helped
Answer:
See below.
Step-by-step explanation:
12(3d+8)
36d+96
-hope it helps
Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
2r = 27/</span><span>π
2r = 8.59 yards, or ~9 yards.</span>
(4x^5-15x^3-10x^2)-(2x^5-5x^3-2x^2)
So, the first thing we will do is add like terms. But before that, lets get rid of both parenthesis. We'll just get rid of the first pair, and for the second pair, we will multiple everything in the second parenthesis by -1
4x^5-15x^3-10x^2-2x^5+5x^3+2x^2
Now, we will add like terms.
2x^5-10x^3-8x^2
Now, there's a common factor that all of these terms share; it's 2x^2. 2x^5 can be divided by 2, as well as -10x^3 and -8x^2 (these are the coefficients, number found in front of the variable.) So, we'll distribute 2
2x^2(x^3-5x-4) (we take the 2x^2 out by dividing all terms by 2x^2)
So, our answer would be
2x^2
