Answer:

Step-by-step explanation:

The number is 'n'.
Five times the number is 5n .
Nine more than that is 5n + 9 .
Answer:
Circumference= 44 in
Area= 154 in²
Step-by-step explanation:

Radius
= diameter ÷2
= 14 ÷2
= 7 in
Circumference of circle

= 44 in

Area of circle

= 154 in²
The vertical angles are congruent (or equal) so,
32 = 2x
2x = 32
2x/2 = 32/2 ..... dividing both sides by 2
x = 16 which is the answer
Because the order doesn't matter on where each person sits use the combinations formula:
C = n! / (r!(n-r)!)
Where n is the total number of people and r is the number of chairs.
C = 6! / (4!(6-4)!)
C = (6*5*4*3*2*1) / ((4*3*2*1(2*1))
C = 720 / (24*2)
C = 720 / 48
C = 15
There are 15 different arrangements.