IK its an obtuse angleeee if that helps
20° is the answer if you look on the other side
Answer: ![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
Step-by-step explanation:
For this exercise it is important to remember the following:
![i=\sqrt{-1} \\\\i^2=-1](https://tex.z-dn.net/?f=i%3D%5Csqrt%7B-1%7D%20%5C%5C%5C%5Ci%5E2%3D-1)
Given the following expression:
![-2i\sqrt{-12}](https://tex.z-dn.net/?f=-2i%5Csqrt%7B-12%7D)
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace
with
and simplify:
![(-2i)(i)\sqrt{12}=-2i^2\sqrt{12}=-2(-1)\sqrt{12}=2\sqrt{12}](https://tex.z-dn.net/?f=%28-2i%29%28i%29%5Csqrt%7B12%7D%3D-2i%5E2%5Csqrt%7B12%7D%3D-2%28-1%29%5Csqrt%7B12%7D%3D2%5Csqrt%7B12%7D)
2. Descompose 12 into its prime factors:
![12=2*2*3=2^2*3](https://tex.z-dn.net/?f=12%3D2%2A2%2A3%3D2%5E2%2A3)
3. Substitute into the expression:
![=2\sqrt{2^2*3}](https://tex.z-dn.net/?f=%3D2%5Csqrt%7B2%5E2%2A3%7D)
4. Since
, you can simplify it:
![=(2)(2)\sqrt{3}=4\sqrt{3}](https://tex.z-dn.net/?f=%3D%282%29%282%29%5Csqrt%7B3%7D%3D4%5Csqrt%7B3%7D)
Answer:
A= 40°
B= 35°
C= 15°
Step-by-step explanation:
Since it says if the triangles were accurately drawn, then A would be the same degree as Q. C would be the same degree as P. B would be the same degree as R. Since R's degree is missing I knew that a obtuse triangle was 90°. I added 40+15 and got 55. Then i subtracted 90-55 and got 35. So the unknown value would be 35°.
I hope this helps.