The car will be worth 18,084.24$ in 3 years.
Hello, Katrina7!
Vertical angles are when two lines intersect they form two pairs of opposite angles.
I really hope this helps;)
Answer:
six hunddered n twelve
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
![tan 2x=\frac{2tan x}{1-tan^2x} \\put x=105\\2x=105*2=210\\tan ~2x=tan~210=tan(180+30)=tan ~30=\frac{1}{\sqrt{3}} \\\frac{1}{\sqrt{3} } =\frac{2~tan~x}{1-tan^2x} \\cross~multiply \\2\sqrt{3}~tan~x=1-tan^2~x\\tan^2x+2\sqrt{3}~tan~x-1=0\\tan~x=\frac{-2\sqrt{3} \pm \sqrt{(2\sqrt{3})^2-4*1*(-1)} }{2*1} \\=\frac{-2\sqrt{3} \pm \sqrt{12+4} }{2} \\=\frac{-2 \sqrt{3} \pm 4}{2}\\=-\sqrt{3}} \pm~2\\](https://tex.z-dn.net/?f=tan%202x%3D%5Cfrac%7B2tan%20x%7D%7B1-tan%5E2x%7D%20%5C%5Cput%20x%3D105%5C%5C2x%3D105%2A2%3D210%5C%5Ctan%20~2x%3Dtan~210%3Dtan%28180%2B30%29%3Dtan%20~30%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%20%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%20%3D%5Cfrac%7B2~tan~x%7D%7B1-tan%5E2x%7D%20%5C%5Ccross~multiply%20%5C%5C2%5Csqrt%7B3%7D~tan~x%3D1-tan%5E2~x%5C%5Ctan%5E2x%2B2%5Csqrt%7B3%7D~tan~x-1%3D0%5C%5Ctan~x%3D%5Cfrac%7B-2%5Csqrt%7B3%7D%20%5Cpm%20%5Csqrt%7B%282%5Csqrt%7B3%7D%29%5E2-4%2A1%2A%28-1%29%7D%20%7D%7B2%2A1%7D%20%5C%5C%3D%5Cfrac%7B-2%5Csqrt%7B3%7D%20%5Cpm%20%5Csqrt%7B12%2B4%7D%20%7D%7B2%7D%20%5C%5C%3D%5Cfrac%7B-2%20%5Csqrt%7B3%7D%20%5Cpm%204%7D%7B2%7D%5C%5C%3D-%5Csqrt%7B3%7D%7D%20%20%5Cpm~2%5C%5C)
as tan 105 lies in second quadrant,so it is negative.
tan 105=-√3 -2=-√(-√3-2)²=-√[3+4+2(-√3)(-2)]=-√[7+4√3]