Answer:
the answer is the graph c (3)
Step-by-step explanation:
108 degrees
B - Alternate angles
The point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m - slope
Let
and ![l:y=m_2x+b_2](https://tex.z-dn.net/?f=l%3Ay%3Dm_2x%2Bb_2)
![l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}](https://tex.z-dn.net/?f=l%5C%20%5Cperp%5C%20k%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_1%7D)
We have
![y-3=-4(x+2)\to m_1=-4](https://tex.z-dn.net/?f=y-3%3D-4%28x%2B2%29%5Cto%20m_1%3D-4)
Therefore
![m_2=-\dfrac{1}{-4}=\dfrac{1}{4}](https://tex.z-dn.net/?f=m_2%3D-%5Cdfrac%7B1%7D%7B-4%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
We have the slope and the point (-5, 7). Substitute to the point-slope formula:
![y-7=\dfrac{1}{4}(x-(-5))\\\\\boxed{y-7=\dfrac{1}{4}(x+5)}](https://tex.z-dn.net/?f=y-7%3D%5Cdfrac%7B1%7D%7B4%7D%28x-%28-5%29%29%5C%5C%5C%5C%5Cboxed%7By-7%3D%5Cdfrac%7B1%7D%7B4%7D%28x%2B5%29%7D)
Answer:
x +4
Step-by-step explanation:
3x-4+2x+8
Combine like terms
3x+2x -4+8
x +4
Answer:
35,66
Step-by-step explanation:
Perimeter:
(5.5+12)*2
=17.5*2
=35m
Area:
5.5*12
=66 sq. metres