Answer:
16
Step-by-step explanation:
The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.
Answer:
1) m=-7/5
2) m=-7/5
3) parallel
Step-by-step explanation:
the first part:
graph the points and then find the slope
m=-7/5
the second part:
slope= m in y=mx+b
m=-7/5
the last part:
they are parallel because they have the same slope
Answer:
B. 434.89
Step-by-step explanation:
A basketball is a sphere and the volume formula is:
V = 4/3πr³
Given:
d = 9.4
r = 9.4/2
r = 4.7
Work:
V = 4/3πr³
V = 4/3π(4.7)³
V = 4/3π(103.823)
V = 434.89
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°
