Answer:
x = 6
Step-by-step explanation:
AD is a midline segment and divides EB and EC in the same proportion, that is
[tex]\frac{EA}{AB}[/tex] = [tex]\frac{ED}{DC}[/tex]
Substituting in values gives
[tex]\frac{16}{x+2}[/tex] = [tex]\frac{12}{24}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
5x + 2 = 32 ( subtract 2 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
