Answer:
see the attachment below
Step-by-step explanation:
Answer:
![\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By-5%3D-4%28x-3%29%7D%5C%5C%5Cboxed%7By-8%3D%5Cdfrac%7B1%7D%7B2%7D%28x%2B1%29%7D)
Step-by-step explanation:
The point-slope form of an equation of a line:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m - slope
![m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)](https://tex.z-dn.net/?f=m%3D-4%2C%5C%20%283%2C%5C%205%29%5C%5C%5C%5Cy-5%3D-4%28x-3%29)
![m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1%7D%7B2%7D%2C%5C%20%28-1%2C%5C%208%29%5C%5C%5C%5Cy-8%3D%5Cdfrac%7B1%7D%7B2%7D%28x-%28-1%29%29%5C%5C%5C%5Cy-8%3D%5Cdfrac%7B1%7D%7B2%7D%28x%2B1%29)
Answer:
∠ ABC = 22°
Step-by-step explanation:
OA = OB ( radii of circle )
Then Δ OAB is isosceles with base angles congruent , that is
∠ OBA = ∠ OAB = 17x
The sum of the 3 angles in the triangle sum to 180°
17x + 17x + 11x = 180
45x = 180 ( divide both sides by 45 )
x = 4
Then
∠ OBA = 17x = 17(4) = 68°
BC is a tangent so ∠ OBC = 90°
∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°
Answer:
What/where is the question you have for me?
Step-by-step explanation: