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