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)
 
        
             
        
        
        
x = 30
The distributive property says that we need to multiply what's in the brackets by 1/2 (so 1/2*x and 1/2*6) to get the equation 1/2x + 3 = 18.
Then we need to subtract our constant, 3, from boths sides to get 1/2x = 15.
Multiply both sides by two to isolate x and you get x = 30.
Hope this helps! :)
 
        
             
        
        
        
Answer:
1,004
Step-by-step explanation:
 
        
             
        
        
        
3/x = 4/3
4x = 9
x = 9/4
5/y = 4/3
4y = 15
y = 15/4 (B)
        
             
        
        
        
Answer:
a°=45°
Step-by-step explanation:
SOLUTION,
→a°=45°[ Being alternate angles]
→Hence,a°=45°