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