Answer:
x = 16
Explanation:
Δ ABC and Δ ADE are similar , thus the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
11x = 8(x + 6)
11x = 8x + 48 ( subtract 8x from both sides )
3x = 48 ( divide both sides by 3 )
x = 16