Question

Need help ASAP. MUST be correct. 10 points. Thanks

Answer 1

ΔABC and ΔDBE are similar. Therefore the side are in proportion:

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

DE = 3x - 5

DB = a

AC = 20

AB = a + a = 2a

Substitute:

`(3x-5)/(a)=(20)/(2a)` cross multiply

`2a(3x-5)=20a` divide both sides by 2a ≠ 0

`3x-5=10` add 5 to both sides

`3x=25` divide both sides by 3

`x=(25)/(3)`

`\boxed{x=8.\overline{3}}`