Given that ABC ~ EFG, if FG = 7.6 what is the length of ?
A. 5.6
B. 5.7
C. 5.8
D. 5.5

Answer:
5.7
Step-by-step explanation:
The following ratios are equal
[tex]\frac{DC}{HG}[/tex] = [tex]\frac{BC}{FG}[/tex], substitute values
[tex]\frac{3}{4}[/tex] = [tex]\frac{BC}{7.6}[/tex] ( cross- multiply )
4BC = 3 × 7.6 = 22.8 ( divide both sides by 4 )
BC = 5.7