Answer:
The correct answer is x = 24.
Step-by-step explanation:
To solve this problem, we must remember that vertical angles have the same measure. This lets us set up the following equation:
m<a = m<b
If we substitute their values, we get the following:
5x - 24 = 3x + 24
To solve this equation, we can first subtract 3x from both sides of the equation.
2x - 24 = 24
Next, we can add 24 to both sides of the equation.
2x = 48
Finally, we can divide both sides of the equation by 2.
x = 24
Therefore, the answer is x = 24.
Hope this helps!
Answer:
Part 1) The volume of the ball is 256 cm³
Part 2) The radius of the ball is 3.94 cm
Step-by-step explanation:
Part 1) we know that
The density is equal to divide the mass by the volume
D=m/V
Solve for the volume
The volume is equal to divide the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
Part 2) what is the radius of the ball?
we know that
The volume of the sphere (ball) is equal to

we have

assume

substitute and solve for r




The correct answer is y=4x-1