Angle 1 and 3
Angle 2 and 4
Vertical angles are opposite angles
Answer:
it is a simultaneous equation and I used Elimination method
![2x + 8y = 18(equ \: 1) \\ y = - x + 6 \: \\ y + x = 6 \: (equ \: 2) \\ \\ from \:( equ2) \\ \: x = 6 - y \: (equ \: 3 )\\ sub. \: (equ3) \: in \: (equ2) \\ 2(6 - y )+ 8y = 18 \\ 12 - 2y + 8y = 18 \\ 6y = 18 - 12 \\ 6y = 6 \\ \frac{6y}{6} = \frac{6}{6} \\ y = 1 \\ \\ sub. \: y \: in \: equ3 \\ x = 6 - y \\ x = 6 - 1 \\ x = 5 \\ \\ \\ y = 1 \: \: x = 5](https://tex.z-dn.net/?f=2x%20%2B%208y%20%3D%2018%28equ%20%5C%3A%201%29%20%5C%5C%20%20%20y%20%3D%20%20-%20x%20%2B%206%20%5C%3A%20%20%5C%5C%20y%20%2B%20x%20%3D%206%20%5C%3A%20%28equ%20%5C%3A%202%29%20%5C%5C%20%20%5C%5C%20from%20%5C%3A%28%20equ2%29%20%5C%5C%20%20%5C%3A%20%20x%20%3D%206%20-%20y%20%5C%3A%20%28equ%20%5C%3A%203%20%29%5C%5C%20sub.%20%5C%3A%20%28equ3%29%20%5C%3A%20in%20%5C%3A%20%28equ2%29%20%5C%5C%202%286%20-%20y%20%29%2B%208y%20%3D%2018%20%5C%5C%2012%20-%202y%20%2B%208y%20%3D%2018%20%5C%5C%206y%20%3D%2018%20-%2012%20%5C%5C%206y%20%3D%206%20%5C%5C%20%20%5Cfrac%7B6y%7D%7B6%7D%20%20%3D%20%20%5Cfrac%7B6%7D%7B6%7D%20%20%20%5C%5C%20%20y%20%3D%201%20%5C%5C%20%20%5C%5C%20sub.%20%5C%3A%20y%20%5C%3A%20in%20%5C%3A%20equ3%20%5C%5C%20x%20%3D%206%20-%20y%20%5C%5C%20x%20%3D%206%20-%201%20%5C%5C%20x%20%3D%205%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20y%20%3D%201%20%5C%3A%20%20%5C%3A%20x%20%3D%205)
Answer:
D.
Step-by-step explanation:
Answer:
<h2>14</h2>
Step-by-step explanation:
Look at the picture.
Answer:
x = 4![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Step-by-step explanation:
Since the triangle is right, solve for x using Pythagoras' identity, that is
x² = 8² + 4² = 64 + 16 = 80
Take the square root of both sides
x =
=
=
×
= 4
← exact value