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°
Thirty students are randomly sampled about their hair color.
This is for two reasons,. Firstly, randomness is very important in drawing conclusions. Secondly, it is less of an opinion question and more fact based.
The result should be 4 if it’s using PEMDAS
Besides the obvious one(81*1), the only 2 combinations are 9 and 9, or 27 and 3.
I’m not too sure if I did it correct, but the answer I got was -6x^2+36. I just assumed you’d solve it as usual and then multiply (-3) after distributing-2 to x^2-6. Hope this helps.