Answer:
(4/5) = n
Step-by-step explanation:
12 = 15n
divide both sides by 15
(12/15) = n
simplify
(4/5) = n
 
        
                    
             
        
        
        
Answer:
 value of sides YZ is 36 cm
Step-by-step explanation:
Similar triangles states that the length of the corresponding sides are in proportion.
Given that: ΔABC is similar to ΔXYZ
then;
Corresponding sides are in proportion i.e 
 .....[1]
    .....[1]
As per the statement:
side AB = 6 cm, side BC =18 cm and side XY = 12 cm.
Substitute these in [1] to solve for side YZ;

or

By cross multiply we have;
 cm
 cm
Therefore, the value of sides YZ is 36 cm
 
        
                    
             
        
        
        
Answer:
29
Step-by-step explanation:
As it is a list of prime number, the sequence continues with 29 being the next prime number after 23.