Find any two points on the line.
<span>x=0⇒y=4<span>(0)</span>+7=7⇒</span> Point 1: <span>(0,7)</span>
<span>x=−1⇒y=4<span>(−1)</span>+7=3⇒</span> Point 2: <span>(−1,3)</span>
Step 2: Plot the two points from Step 1
Step 3: Draw a straight line through both points
The formula for the volume of a sphere is the following:

Plug in V=5000π and solve for the radius.

Divide both sides by


Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

Take the cube root of both sides

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

Plug in r=15.5

The second choice is your answer.
Question 1:Angle D and angle E are congruent because they are alternate interior angles. Let's make an equation.

Use the distributive property

Add both sides by 10 and subtract both sides by x


Plus this in and you get 20 for both of them (they're supposed to be congruent).
Your answer is the first choice.
Question 2:Use the sine. The sine is the opposite leg divided by the hypotenuse. Divide the sine from 400 to get our answer.

Your answer is the third choice.
Question 3:Use the tangent. The tangent is the opposite side divided by the adjacent. Divide 203 by the tangent of 22 degrees.

Your answer is the third choice. I hope this helps! :)
Answer:
The geometric mean of the measures of the line segments AD and DC is 60/13
Step-by-step explanation:
Geometric mean: BD² = AD×DC
BD = √(AD×DC)
hypotenuse/leg = leg/part
ΔADB: AC/12 = 12/AD
AC×AD = 12×12 = 144
AD = 144/AC
ΔBDC: AC/5 = 5/DC
AC×DC = 5×5 = 25
DC = 25/AC
BD = √[(144/AC)(25/AC)]
BD = (12×5)/AC
BD= 60/AC
Apply Pythagoras theorem in ΔABC
AC² = 12² + 5²
AC² = 144+ 25 = 169
AC = √169 = 13
BD = 60/13
The geometric mean of the measures of the line segments AD and DC is BD = 60/13