Question

PLEASE SHOW your work I have the question and my answers in picture I just want to make sure I'm correct question number 3... I got x=16 and question number 4.... I got they are parallel

Answer 1

#3 you are correct.

#4 you are correct.

Explanation:

#3) Similar triangles have common ratio for all 3 sides.

AD=24 DB=27 EB=18

DB/AB = EB/CB

DB CB = EB AB

DB (CE+EB) = EB (AD+DB)

27(CE+18)=18(24+27)

CE=18(24+27)/27 - 18 = 16

#4) If the triangles are similar then their third sides are parallel

AD=15 DB=12 so AB=27

AE=10 EC=8 so AC=18

AC/EC = 18/10 = 9/4

AB/DB = 27/12 = 9/4

The triangles are similar, so BC || DE