Answer:
The answer to your question is FJ = 18
Step-by-step explanation:
Data
FG = 30
FH = 12
HE = 8
JH ║GE
These triangles are similar, so we can use proportions to find the length of FJ.
[tex]\frac{FJ}{FH} = \frac{FG}{FH + HE}[/tex]
Substitution
[tex]\frac{FJ}{12} = \frac{30}{12 + 8}[/tex]
Simplification
[tex]\frac{FJ}{12} = \frac{30}{20}[/tex]
Solve for FJ
[tex]FJ = 12 \frac{30}{20}[/tex]
Result
FJ = 18
