Two supplementary angles when added together need to equal 180 degrees.
Let the first angle = X
The second angle would then be X - 152
Add them together to equal 180:
X + X - 152 = 180
Simplify:
2X -152 = 180
Add 152 to each side:
2X = 332
Divide both sides by 2:
X = 332 / 2
X = 166
The first angle = X = 166 degrees.
The second angle = X - 152 = 166 - 152 = 14 degrees.
The angles are 166 and 14
Answer:
y=-0.012x(x-200).
Step-by-step explanation:
1) the given parabola has two zeros: 0 and 200. It means, the required equation is: y=ax(x-200), where a - unknown number;
2) according to the given graph the vertex is (100; 120). It is possible to substitute the coordinates of it into the equation y=ax(x-200) and calculate the value of 'a':
120=a*100(100-200); ⇒ a=-0.012.
3) finally, the required equation is:

Answer:

Step-by-step explanation:
Apply exponent rule:
![\sqrt[n]{a} =a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
![\implies \sqrt[11]{12}=12^{\frac{1}{11}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%5B11%5D%7B12%7D%3D12%5E%7B%5Cfrac%7B1%7D%7B11%7D%7D)


Answer: C
Exp:
∠DXC = 90°
∠CXB = 90°
supplementary = 180°
90+90= 180