6. For the given circle O, FG is the same distance from O as, RS is. If FG = 5n + 34 and RS = -2(1 – 7n), then find the value of n. (The figure is not drawn to scale.)

n=4

Explanation:

Because FG and RS are the same distance away from O, they are equivalent.

We can do:

5n+34=-2(1-7n)

and solve for n.

5n+34=-2+14n

36=9n

n=4

the roman republic began to expand when rome fought the punic wars and defeated carthage. the punic wars refer to the series of 3 wars fought among rome and carthage, before it ended in carthage's defeat.