Answer:
i. 9
ii. 14
iii. 405
iv. 
Step-by-step explanation:
The number of diagonals in a polygon of n sides can be determined by:
where n is the number of its sides.
i. For a hexagon which has 6 sides,
number of diagonals = 
= 
= 9
The number of diagonals in a hexagon is 9.
ii. For a heptagon which has 7 sides,
number of diagonals = 
= 
= 14
The number of diagonals in a heptagon is 14.
iii. For a 30-gon;
number of diagonals = 
= 
= 405
The number of diagonals in a 30-gon is 405.
iv. For a n-gon,
number of diagonals =
The number of diagonals in a n-gon is
Answer:
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x+11-(21)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
6x - 10 = 2 • (3x - 5)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : 3x-5 = 0
Add 5 to both sides of the equation :
3x = 5
Divide both sides of the equation by 3:
x = 5/3 = 1.667
One solution was found :
x = 5/3 = 1.667
Answer:
The number is 23
Step-by-step explanation:
23-10=13
Answer: $20
Step-by-step explanation:
From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.
Therefore, the total commission received from John's payment will be:
= 25% × $80
= 25/100 × $80
= 0.25 × $80
= $20
The commission is $20
Answer:
1 to 200 or 1:200 or 1/200
Step-by-step explanation:
If there is 1 shark for every 200 fish then the ratio would be sharks (1) over fish (200)
