Answer:

Step-by-step explanation:
we know that
If LM is the midsegment
then

substitute the given values

Solve for x





An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.
We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.
This differential volume that the dome is increased is equal to the volume of the coat of paint.
The volume of the dome can be written as:

Now, we can calculate dV as:

Answer: the paint needed for this coat is approximately 7.92 m^3
Shape A is congruent to Shape B because If you were to rotate one of the two and flip it the would like up and match.
Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!
Answer:
median = 50
difference in the quartiles = 45
Step-by-step explanation:
The median amount is the line in the middle of the box
The median is 50
The difference between the upper quartile and the lower quartile is the difference between the right end of the box and the left end of the box
65-20 = 45