Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
Answer:
Answer is $110.25. You figure out how.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm
Answer:
x = 7
Step-by-step explanation:
Vertical angles are congruent (equal). Therefore, we can set the values equal to each other in an equation to solve for x.
7x + 68 = 2x + 103
5x + 68 = 103
5x = 35
x = 7
