Answer:
see below
Step-by-step explanation:
This is a vocabulary problem, identifying the names of things on a diagram.
Angles are "interior" when they are between the "parallel" lines. They are "exterior" when they are outside those lines. They are "alternate" if they are on opposite sides of the transversal, and "same side" if they are not.
They are "vertical" if they share a vertex and have opposite rays for sides, and they are "corresponding" if they are in the same quadrant of the intersection of crossing lines. (1, 5, 9, 13 are "corresponding", for example.)
The area of a triangle is half the product of the base and the height.
Since multiplication is commutative, the following expressions are equivalent:
So, option D is correct
Answer:
angle M = 98
Step-by-step explanation:
since they all equal 180
do 3x-16+x+6+x = 180 now add 10 two both sides and get
3x+x+x = 190
5x = 190
x = 38
now plug that in to 3x-16 to get 98
Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
Answer:
823516
Step-by-step explanation:
hope this helps
