Distribute the 3 to the parentheses. Q=3r+3/r
Next multiply both sides by r to get rid of the division sign.
Qr=3r+3
Subtract 3r on both sides and you get Qr-3r=3
Since both numbers have an r in it, we can factor out the r
r(Q-3)=3
Then we divide Q-3 on both sides
r=3 / (Q-3)
<span>14 = GCF of M and 210
M = possible values
GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=> 35 | 5
=> 7 | 7
=> 1
Thus, 2 x 3 x 5 x 7 = 210
Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
=> 1
Thus, 2 x 7 = 14
Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
Thus, the value of M that we’re looking for is infinite. All numbers that has
the GCF of 7 are applicable.</span>
Using
(n-2)180 = 18001800
(n-2) = 18001800÷180
n-2 = 100010
n = 100010+2
n= 100012 sides
