Question

Directions: Solve for x.

Answer 1

x = 6

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.

`(AB)/(AD)=(AC)/(AE)`

`(x+18)/(x)=(28)/((28-21))`

7(x + 18) = 28x

7x + 7×18 = 28x

28x - 7x = 126

21x = 126

x =
`(126)/(21)`

x = 6