3. The length of the line segment is 16 units
<u>Step-by-step explanation:</u>
Considering the properties of quadrilateral, opposite sides are parallel and equal, we can find the value of n, using that n value we can find the value of segment GH.
As given in the problem, sides FG and EH are parallel and so they are equal.
So we can write, the next side EF and GH is also parallel,
EF = GH
4n-4 = 2n+ 6
Grouping the terms we will get ,
4n - 2n = 6+ 4
2n = 10
n = 10/2 = 5
So GH = 2(5) + 6 = 10+ 6 = 16 units.
The sum of two sides of a triangle must be greater than the third side
1) 5+9>14
14>14 It is incorrect so you can’t have these lengths
2)7+7>15
14>15 X
3)1+2>4
3>4 X
4)3+6>8
9>8
6+8>3
14>3
8+3>6
11>6
So the fourth choice is correct
Answer: There are 360360 ways to appoint the members of the cabinet.
Step-by-step explanation:
Since we have given that
Number of eligible candidates = 15
Number of spots available = 5
We need to find the number of different ways the members can be appointed where rank matters
For this we will use "Permutations":
So, the required number of different ways in choosing the members for appointment is given by
Hence, there are 360360 ways to appoint the members of the cabinet.
An angle adjacent to BOC would be COD or BAC.