Question

Directions: Solve for x.

Answer 1

Answer:

x = 6

Step-by-step explanation:

From the given picture,

ΔABC and ΔADE are the similar triangles.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

$\frac{AB}{AD}=\frac{AC}{AE}$

$\frac{x+18}{x}=\frac{28}{(28-21)}$

7(x + 18) = 28x

7x + 7×18 = 28x

28x - 7x = 126

21x = 126

x = $\frac{126}{21}$

x = 6