Answer:
Θ = 46°
Step-by-step explanation:
the angle between a tangent and a radius at the point of contact is 90° , so
∠ ABO = 90°
since OB = OD ( radii of circle ) then Δ BOD is isosceles and
∠ OBD = ∠ ODB = 22°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ AOB is an exterior angle of the triangle , then
∠ AOB = 22° + 22° = 44°
the sum of the 3 angles in Δ AOB = 180° , then
Θ + 44° + 90° = 180°
Θ + 134° = 180° ( subtract 134° from both sides )
Θ = 46°
I)
The Midpoint M of the line segment AB is found using the Midpoint formula:

ii)
the slope of the line through A and B is found by the slope formula:

iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
Answer:
Step-by-step explanation:

The measure of exterior all angles of a regular n-agon is 180
now for the decagon which has 10 angles is 180/10=18
Answer:
D : {x ∈ R : x≠1}
Step-by-step explanation:
The domain is what values of x can we put into the function and it still works
We cannot have the denominator equal zero
x-1 ≠0
Add 1 to each side
x-1+1 ≠0+1
x≠1
The domain is all real values of x except x=1
D : {x ∈ R : x≠1}