Answer: The correct option is (B) 55.
Step-by-step explanation: We are given two similar triangles ABC and DEF.
We are to find the value of x.
From the figure, we note that
DE = 6 units, DF = 11 units, AB = 30 units and AC = x units.
We know that the corresponding sides of two similar triangles are proportional.
So, from ΔDEF and ΔABC, we get
[tex]\dfrac{DE}{AB}=\dfrac{DF}{AC}\\\\\\\Rightarrow \dfrac{6}{30}=\dfrac{11}{x}\\\\\\\Rightarrow \dfrac{1}{5}=\dfrac{11}{x}\\\\\Rightarrow x=11\times 5\\\\\Rightarrow x=55.[/tex]
Thus, the value of x is 55 units.
Option (B) is CORRECT.
