Remember, all the interior angles of a triangle equals 180.
So in triangle ABC, it already gives us two out of the three angles.
First, we add 52 and 36 and that gives us 88.
Now we subtract 88 from 180.
180 - 88 = 92
So that means that ∠ABC is 92°
Now we have to look at triangle DEF.
The equation says that triangle DEF is similar to triangle ABC.
Looking at the picture, triangle DEF is smaller and is flipped upside down.
So that means that ∠ABC ≈ ∠DEF
In similar triangles, the measurements of angles does NOT change. Just the side length.
So since ∠ABC = 92° that means that ∠DEF = 92°
Step-by-step explanation:
A square's perimeter consists of 4 equal sides.
Therefore side of square park = 240m/4 = 60m.
The equal length of the logs will be 200 feets each.
Since the lengths in feet of three pieces of timber are 144, 216, 240 and the operator wants to cut them into 3 equal sizea, this will go thus:
= (144 + 216 + 240) / 3
= 600/3
= 200 feets each
Therefore, there'll be an equal length of 200 feets each.
Read related link on:
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I think the answer is C 260 degrees
We are given with two functions: f(x) = x + 8 and g(x) = x2 - 6x - 7. In this problem, the value of f(g(2)) is asked. We first substitute g(x) to f(x) resulting to f(x2 - 6x - 7) = x2 - 6x - 7 + 8 = x2 - 6x + 1. If x is equal to 2, then <span>f(g(2)) = 2^</span>2 - 6*2 + 1 equal to -7.