Answer:
x = 16
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{RS}{MN}[/tex] = [tex]\frac{RT}{MO}[/tex], that is
[tex]\frac{8}{x}[/tex] = [tex]\frac{6.5}{13}[/tex] ( cross- multiply )
6.5x = 104 ( divide both sides by 6.5 )
x = 16
