Answer:
AG = 18
Step-by-step explanation:
The relationship of the segments created is one is 1/3 (shorter) and the other (longer) is 2/3 of the total length.
Lets make x represent AG.
So, 2/3 of x is 12
or
[tex]\frac{2}{3}[/tex]x = 12
Multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex] , which is [tex]\frac{3}{2}[/tex].
( [tex]\frac{3}{2}[/tex]) [tex]\frac{2}{3}[/tex]x = 12 ([tex]\frac{3}{2}[/tex]) (x is left alone, the fractions = 1 when multiplied)
x = 12 ([tex]\frac{3}{2}[/tex]) ( 12 times 3 = 36, divided by 2 = 18)
x = 18
