Answer:
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)
A. ratio of areas = 2^2 /5^2 = 4/25
B 14^2 : 1 = 196:1
C. ratio of perimeters would be sqrt81 = 9 times
Answer:
52
Step-by-step explanation:
If u=(a1i+b1j)=(a1,b1) and v=(a2i+b2j)=(a2,b2), then the dot (scalar) product is:
u.v=(a1,b1).(a2,b2)
a1b1+a2b2
u.v=(8,-7).(3,−4)
(8)(3)+(-7)(−4)
24+28=52