Question

Look at picture. Question 1

Answer 1

x = 18

Explanation:

Look at the picture.

ΔABC and ΔDBE are similar.Therefore the corresponding sides are in proportion:

`(DE)/(AC)=(DB)/(AB)`

We have

`DE=x,\ AC=36,\ DB=y,\ AB=y+y=2y`

Substitute:

`(x)/(36)=(y)/(2y)` cancel y

`(x)/(36)=(1)/(2)` cross multiply

`2x=36` divide both sides by 2

`x=18`