Answer:
The scale factor is 2
x=11 units
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
The ratio of its corresponding sides is called the scale factor
In this problem
Triangles RST and MNO are similar
so
[tex]\frac{NO}{ST}=\frac{MN}{RS}[/tex]
substitute the given values
[tex]\frac{x}{5.5}=\frac{6}{3}[/tex]
solve for x
[tex]\frac{x}{5.5}=2[/tex]
[tex]x=2(5.5)\\x=11\ units[/tex]
The scale factor of triangle RST to triangle MNO (enlargement) is equal to 2
