Answer:
x = 7.5 cm
Step-by-step explanation:
ΔBCA ~ ΔECD ⇒ the corresponding sides are proportional.
[tex]\frac{AC}{DC}[/tex] = [tex]\frac{AB}{DE}[/tex]
AC = 4 + 6 = 10 cm
[tex]\frac{10}{6}[/tex] = [tex]\frac{x+5}{x}[/tex] ⇔ 10x = 6(x + 5) ⇒ x = 7.5 cm
