What is the value of a?

a–2=3+6a

3

a = 17 / 11

Step-by-step explanation:

or, a - 2 = 3(3 + 6a)

or, a - 2 = 9 + 18a

or, - 2 - 9 = 18a - a

or, -11 = 17a

or, a = 17 / 11

Segment BF = 16 is true.

Step-by-step explanation:

Since, DE is parallel to BC, so DE will divide AB and AC proportionally.

Hence,

⇒  

{Since, given that AE = 12, EC = 18 and AD = 6}

⇒ BD = 9.

Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.

Hence,

⇒  

{Since, given that AE = 12, EC = 18 and FC= 24}

⇒ BF = 16.

Therefore, segment BF = 16 is true. (Answer)