Answer:
x = 1.5
Step-by-step explanation:
Since ΔAED and ΔACB are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{ED}{CB}[/tex] = [tex]\frac{AD}{AB}[/tex], and substituting values
[tex]\frac{x}{1}[/tex] = [tex]\frac{3}{2}[/tex], that is
x = [tex]\frac{3}{2}[/tex] = 1.5
