Answer:
n+1
If a pyramid has n number of sides
⇒number of vertices in the base = n
Since in a pyramid there is one vertex on the top,and n number of faces are on the sides,and one face is in the base.
Total number of faces of pyramid = n+1
Given:
7 red candies
9 blue candies
12 pink candies
Condition:
Number of bags that has equal number of candies.
We can do 7 bags with 1 colored candy each. There will be an excess of 2 blue candies and 5 pink candies.
We can do 4 bags with 1 red candy, 2 blue candies, 3 pink candies. There will be an excess of 3 red candies and 1 blue candy.
We can do 3 bags with 2 red candies, 3 blue candies, 4 pink candies. There will be an excess of 1 red candy.
Answer: 1) Perpendicular
2) Concurrent
Step-by-step explanation:
The distance from a point to a line is the length of the perpendicular segment from the point to the line.
As Perpendicular segment is the shortest distance to the point of the line.
When three or more lines intersect at one point, they are concurrent.
Because Concurrent is a situation when three or more lines intersect each other at a single point.
Answer:
144 cm^3
Step-by-step explanation:
The formula for the volume of a rectangular prism is <em>l x w x h. </em>
Here, the length is 4, the width is 4, and the height is 4.
4 x 4 x 9 =
16 x 9 =
144 cm^3
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
