Step-by-step explanation:
If segment AD contains point B and, then A, B, C and D lies on the same straight line as shown in the attachment.
To show that point C is the middle of point BD, we musr show that segment BC is equal to CD i.e BC = CD.
From the diagram, AC = AB+BC
Given AC = 12cm and AB = 4cm
BC = AC-AB
BC = 12cm - 4cm
BC = 8cm
Also AD = AB+BC+CD
Given AD = 20cm, AB = 4cm and BC = 8cm
CD = AD-(AB+BC)
CD = 20-(4+8)
CD = 20-12
CD = 8cm
It can be seen that BC = CD = 8cm, hence C is the midpoint of B and C.
Answer:
Step-by-step explanation:
Let the coordinate of the points W, V and R are and
respectively.
The coordinate of the section point, which divides the line joining the two points
and
in the ration
is
and
.
The given ration is,
.
The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.
<u>Answer:</u>
A) 720 ways
B) 15 ways
C) 6 ways
<u>Step-by-step explanation:</u>
A) To find the number of ways Alicia can arranger her 6 paintings, we will find factorial of 6 by multiplying all of the positive integers equal to or less than that number i.e. 6 to get:
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
Alicia can arrange her paintings in 720 ways.
B) We use the following formula (when order is not important) to find the number of permutations of n objects taken r at a time:
Therefore, Alicia can choose any 4 of her paintings in 15 ways.
C) Number of ways Alicia can arrange 3 out of 6 paintings = 3! = 3*2*1 = 6 ways