I believe you work the problem out and put the answer down.
Follow the formula given below.
P(Mar and Vacation) = P(vacation l march) x P(March)
So it was given above that 5% is the probability that it is March and someone's vacation.
0.05 = P(vacation l march) x ( 1/12)
1 0.05
P(vacation l march)= ------- x --------
12 1
P(vacation l march) = 0.6
So the answer is 60% probability that you will have a vacation given that the month is March.
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
Given:
Consider the expression is:
To find:
The value of the given expression by using the math properties.
Solution:
We have,
It can be written as:
[Commutative property of addition]
[Associative property of addition]
Therefore, the value of the given expression is 23.