A straight line has an angle of 180. A right angle has an angle of 90. Angle 3 is the same as angle 80°, 6, and 8. Angle 2 is the same as angle 4, 5, and 7. All you have to do is subtract the angle you know from 180, and what will be left off is Angle 3.
Then you find out what angles are the same and you have your answer.
Answer:
y = -4/5x - 4
Step-by-step explanation:
y - y1 = m(x-x1)
4x + 5y = 20 ( subtract 4x on both sides)
5y = -4x + 20 (divide by 5 on each side)
y = -4/5x + 4
So we know one point is (0,4) y-intercept
now plug in (0,4)
y - 4 = -4/5(x-0) (Distribute -4/5 to x - 0)
y - 4 = -4/5x (now add 4 on each side)
y = -4/5x - 4
Answer:
1) 
2) ![\sqrt[3]{-1331}=-11](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1331%7D%3D-11)
3) Evaluating 
we get 
4) 
5) 
Step-by-step explanation:
1) 
Prime factors of 1225 : 5x5x7x7
Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2
2) ![\sqrt[3]{-1331}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1331%7D)
We know that ![\sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B-x%7D%3D-%5Csqrt%5Bn%5D%7Bx%7D%20%5C%20%28%20%5C%20if%20%5C%20n%20%5C%20is%20%5C%20odd%29)
Applying radical rule:
![\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1331%7D%5C%5C%3D-%5Csqrt%5B3%5D%7B1331%7D%20%5C%5C%3D-%5Csqrt%5B3%5D%7B11%5Ctimes%5C11%5Ctimes11%7D%5C%5C%3D-%5Csqrt%5B3%5D%7B11%5E3%7D%20%5C%5CUsing%20%5C%20%5Csqrt%5Bn%5D%7Bx%5En%7D%3Dx%20%5C%5C%3D-11)
So,
3)
It can be written as:
Evaluating we get
4) 
Put value of x, y and z in equation and solve:
So,
5) 
We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd
So,
