Question

A, B, C, D, and E are collinear points. AE = 34, BD = 16, and AB = BC =CD. What is the length of CE?

Answer 1

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

Answer 2

18. Drawn out we know that bc and cd are equal. Bd is 16 so bc and cd are both 8.