If the circle in the diagram revolves about the vertical dashed line, which type of geometrical shape will it generate?

D. Solid ring

Step-by-step explanation:

We are given that the given circle is revolving around the vertical dashed line.

It is required to find the geometrical or 3-dimensional shape that will be generated.

Now, we can see that when the circle will rotate along the given vertical line, the region around the line will consist of circles.

So, we will get a cylindrical tube like figure known as 'TORUS' given in the figure below.

Now, according to the options, the figure resembling the torus is 'a solid ring'.

So, solid ring will be the geometrical shape obtained by revolving the circle around the vertical line.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75