Answer:
C i think
Step-by-step explanation:
Could I have the choices?
You need x 20 to get to 10000, so do the same with 150 and get 3000, so it is 3000/10000
1. You need to multiply the denominator by something that will make the content of the radical be a square—so that when you take the square root, you get something rational. Easiest and best is to multiply by √6. Of course, you must multiply the numerator by the same thing. Then simplify.
![\displaystyle\frac{2}{\sqrt{6}}=\frac{2}{\sqrt{6}}\cdot\frac{\sqrt{6}}{\sqrt{6}}\\\\=\frac{2\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}=\frac{2\sqrt{6}}{6}\\\\=\bf{\frac{\sqrt{6}}{3}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B2%7D%7B%5Csqrt%7B6%7D%7D%3D%5Cfrac%7B2%7D%7B%5Csqrt%7B6%7D%7D%5Ccdot%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B%5Csqrt%7B6%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%5Csqrt%7B6%7D%7D%7B%5Csqrt%7B6%7D%5Ccdot%5Csqrt%7B6%7D%7D%3D%5Cfrac%7B2%5Csqrt%7B6%7D%7D%7B6%7D%5C%5C%5C%5C%3D%5Cbf%7B%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B3%7D%7D)
2. Identify the squares under the radical and remove them.
![5\sqrt{12xm^3}=5\sqrt{(4m^2)(3xm)}=5\sqrt{(2m)^2}\sqrt{3xm}\\\\=5\cdot 2m\sqrt{3xm}=\bf{10m\sqrt{3xm}}](https://tex.z-dn.net/?f=5%5Csqrt%7B12xm%5E3%7D%3D5%5Csqrt%7B%284m%5E2%29%283xm%29%7D%3D5%5Csqrt%7B%282m%29%5E2%7D%5Csqrt%7B3xm%7D%5C%5C%5C%5C%3D5%5Ccdot%202m%5Csqrt%7B3xm%7D%3D%5Cbf%7B10m%5Csqrt%7B3xm%7D%7D)
The question said that it told you the base angles. A roof would have two equal base angles. The base angles= 53
All the angles of a triangle each 180, (the roof is shaped like a triangle)
So, let's make x the missing angle.
53(2)+x=180
106+x=180
Subtract 106 on both sides.
180-106= 74
The vertex angle is 74.
I hope this helps!
~cupcake