Let's assume that a,b&c are in one straight line, so cannot form a triangle with each other. Now, total possible Triangle that can be formed choosing any 3 points without any colinear constraint is 8C3 = 56
Answer:
x = 15
Step-by-step explanation:
Given
See attachment
Required
Find x
The figure in the attachment is a quadrilateral and the angles in a quadrilateral add up to 360.
So, we have:
90 + 6x + 5+ 10x - 40 + 4x + 5 = 360
Collect like terms
6x + 10x + 4x = 360 - 90 - 5 + 40 - 5
20x = 300
Divide both sides by 20
x = 15
Hence, the value of x is 15
Answer:
13
Step-by-step explanation:
First find the average the numbers (40 / 4 = 10)
2 are more and 2 are less
7, 9, 11, 13
The answer to this question would be 2
Answer:
(b) 1
Step-by-step explanation:
To differentiate 
we will need the product rule:
.
We have 
, so the following equation is true by the transitive property:
By subtraction property we have:
Since 
, then we can divide both sides by 
:
This implies 
is constant.
So we have that 
where 
is a real number.
Since 
and 
, then by transitive property 
.
So 
.
Checking:
So the following conditions were met.
