Answer:
x = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{MN}{FG}[/tex] = [tex]\frac{NP}{GH}[/tex] , substitute values
[tex]\frac{x}{12}[/tex] = [tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 12 ( divide both sides by 2 )
x = 6
