Mathematics

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
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..

1 Answer

  • Answer:

    #3 you are correct.

    #4 you are correct.


    Step-by-step 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


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