Answer:
[tex]x = 2.4[/tex]
Step-by-step explanation:
Step 1: Find the length of AB
[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]
[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]
Cross Multiply
[tex]15(12+x) = 12(18)[/tex]
Distribute
[tex](15*12)+(15*x) = 216[/tex]
[tex]180 + 15x = 216[/tex]
Divide
[tex]15x / 15 = 36 / 15[/tex]
[tex]x = 2.4[/tex]
Answer: [tex]x = 2.4[/tex]
