Answer:
angle 2 = 90° {corresponding angles}
angle 7 + angle 5 = 180° {linear pair}
or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}
so, angle 7 = 80°
Answer:
(64+320π) cm^3
Step-by-step explanation:
The volume of a cube is the length*width*height, so
the volume of this cube is 4*4*4=64 cm^3
The volume of a cylinder is the base*height
The base of a cylinder is the area of a circle, which is π*the radius of the circle squared
The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.
The area of the base of the cylinder is π8^2=64π
Now, multiply the base by the height, 5
64π*5=320πcm^3
We now have the volume of the cube and the volume of the cylinder, so now we just add them:
(64+320π) cm^3
Answer: 
Step-by-step explanation:
A rectangular prism is a three-dimensional solid.
A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.
You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters (
).
Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:
Where 
is the volume of one layer.
Substituting, you get:
Answer:
-3x-15
Step-by-step explanation:
-3*x
-3*5
C because it has the price of each ticket.
