Complementary angles are two angles that when added together equal 90 degrees.
The picture shows that angle ZPB is a right angle, which is 90 degrees.
The two angles opposite of line ZP would be the complementary angles as they make up a right angle.
The answer would be APW and ZPW
Answer:No
Step-by-step explanation
Because its 6x2=12 and 4x4.5=18 and 10x3=30 they are like not the same.
Answer:
![\fbox{Gradient of curve = -6}](https://tex.z-dn.net/?f=%5Cfbox%7BGradient%20of%20curve%20%3D%20-6%7D)
<em><u>Step by step explanation:</u></em>
<em>Given</em>:
Equation of curve ↦ xy = 6
Point ↦(1,6)
<em>To find:</em>
<em>The gradient of curve = ?</em>
Solution:
![Using \: the \: equation, \\ xy = 6 \\](https://tex.z-dn.net/?f=Using%20%5C%3A%20%20the%20%5C%3A%20%20equation%2C%20%5C%5C%20xy%20%3D%206%20%5C%5C%20)
Taking log both the side,
![log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}](https://tex.z-dn.net/?f=log%28xy%29%20%3D%20log%286%29%20%5C%5C%20log%28x%29%20%2B%20log%28y%29%20%3D%20log%286%29%20%5C%5C%20Taking%20%5C%3A%20%20derivative%20%5C%3A%20%20both%20%20%5C%3A%20the%20%20%5C%3A%20side%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7By%7D%20%20%5Ccdot%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5C%3A%200%20%5C%5C%20%28Derivative%20%20%5C%3A%20of%20%5C%3A%20%20any%20%5C%3A%20%20constant%20%3D0%29%20%5C%5C%20%5Cfrac%7B1%7D%7By%7D%20%20%5Ccdot%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%20-%20%5Cfrac%7B1%7D%7Bx%7D%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20-%20%5Cfrac%7By%7D%7Bx%7D%20%5C%5C%20To%20%20%5C%3A%20find%20%20%5C%3A%20gradient%20%20%5C%3A%20at%20%20%5C%3A%20point%20%281%2C6%29%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%5Cmid_%7B%281%2C6%29%7D%20%3D%20%20%5Cfrac%7B%20-%206%7D%7B1%7D%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%5Cmid_%7B%281%2C6%29%7D%20%3D%20%20-%206%20%5C%5C%20%5Cfbox%7BGradient%20of%20curve%20%3D%20-6%7D)
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