138.43-19.99=118.44
118.44/0.94=126.
Hope this helps :)
Given:
Angled formed by ray BA and ray BC is 90 degrees.
To find:
The equation of line that bisects the angle formed by ray BA and ray BC.
Solution:
If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.
It is possible if the line passes though point B(-1,3) and other point (-2,4).
Equation of line is
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
![y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))](https://tex.z-dn.net/?f=y-3%3D%5Cdfrac%7B4-3%7D%7B-2-%28-1%29%7D%28x-%28-1%29%29)
![y-3=\dfrac{1}{-1}(x+1)](https://tex.z-dn.net/?f=y-3%3D%5Cdfrac%7B1%7D%7B-1%7D%28x%2B1%29)
![y-3=-x-1](https://tex.z-dn.net/?f=y-3%3D-x-1)
Add 3 on both sides.
![y=-x-1+3](https://tex.z-dn.net/?f=y%3D-x-1%2B3)
![y=-x+2](https://tex.z-dn.net/?f=y%3D-x%2B2)
Therefore, the required equation of line is
.
Answer:
6x^2 -11x -1
Step-by-step explanation:
(3x^2 + 3) - (6x + 4) + (3x^2 - 5x)
Distribute the minus sign
(3x^2 + 3) - 6x - 4) + (3x^2 - 5x)
Combine like terms
3x^2 + 3x^2 - 6x - 5x -4+3
6x^2 -11x -1
Answer:
AC ≈ 2.96
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos65° =
=
= ![\frac{AC}{7}](https://tex.z-dn.net/?f=%5Cfrac%7BAC%7D%7B7%7D)
Multiply both sides by 7
7 × cos65° = AC , thus
AC ≈ 2.96 ( to the nearest hundredth )
Answer: 9
Step-by-step explanation: