Question

What is the answer to this image

Answer 1

Answer:

EA = $\frac{50}{3}$

Step-by-step explanation:

Δ CEA and Δ CDB are similar by the AA postulate. Then the ratios of corresponding sides are in proportion , that is

$\frac{EA}{DB}$ = $\frac{CE}{CD}$ ( substitute values )

$\frac{EA}{10}$ = $\frac{9+6}{9}$ = $\frac{15}{9}$ ( cross- multiply )

9 EA = 150 ( divide both sides by 9 )

EA = $\frac{150}{9}$ = $\frac{50}{3}$