Answer:
CE= 18
Step-by-step explanation:
A, B, C, D, and E are collinear points
[tex]AE=AB +BC+CD+DE[/tex]
BD = 16, and AB = BC =CD
BD=BC+CD, BC =CD
So [tex]BD= BC+BC[/tex]
[tex]16=2BC[/tex]
BC= 8
[tex]AB = BC =CD[/tex]
AB= 8, BC=8, CD= 8, E= 34
[tex]AE=AB +BC+CD+DE[/tex]
[tex]34=8+8+8+DE[/tex]
[tex]34=24+DE[/tex], subtract 24 from both sides
DE= 10
[tex]CE= CD+DE[/tex]
[tex]CE= 8+10[/tex]
CE= 18
