Answer:
51 feet
Step-by-step explanation:
Let
x -----> the height of a flagpole
we know that
Using proportion

Answer:
B =
*r^2
(Base of the cone)
Step-by-step explanation:
The volume of the cone is always 1/3 of the volume of a cylinder with the same radius and height.
Volume of the cylinder
V_cylin = (
*r^2 )* h
Where
r is the radius
h is the height
This means the volume of the cone is equal to
V_cone = (1/3)* (
*r^2 )* h
By looking to the equation of the problem
V=(1/3)Bh
We can easily deduce that
B =
*r^2
(Base of the cone)
Answer:
7.1 miles
Step-by-step explanation:
From the park to the library is a diagonal line. We can use pythagorean theorem.
Change in y - 7
Change in x - 1
7^2 + 1^2 = x^2
(x is the distance between the library and park)
49 + 1 = x^2
50 = x^2
That's around 7.
Answer:

Step-by-step explanation:
Parallel lines cut by a transversal are two lines which do not cross intersected by a third line. Because lines such as m and n are parallel, we have angles which are equal to each other.
- Corresponding Angles - angles located in the same position in each intersection. Can be shown by translating or sliding the angle down/up.
- Alternate Interior Angles - angles located inside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
- Alternate Exterior Angles - angles located outside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
- Vertical angles - angles across a vertex from one another. Can be shown by reflection.
The angles shown here are located outside the parallel lines and across the transversal from each other. Therefore we have Alternate Exteroir angles and can set them equal to each other to solve for x.

We check our work and should get equal angles:
