Question

Put your answer as a decimal. In the accompanying diagram. AABC is similar to A DEF. ZALD, and 2BE LE IF AB = 3, BC = 12. DE = x+ 2. and ef=18 find the value of x.

Answer 1

`\begin{gathered} (3)/(12)=((x+2))/(18) \\ 3\cdot18=12(x+2) \\ 54=12x+24 \\ 54-24=12x \\ 30=12x \\ (30)/(12)=(12x)/(12) \\ 2.5=x \\ x=2.5 \end{gathered}`

Answer: x = 2.5