LCD (1/7, 14/7, 12/13, 5/6)
LCM = (7, 7, 13, 6)
=  2 * 3 * 7 * 13
=  546
1/7  = 78/546
14/7  = 1092/546
12/13  = 504/546
5/6  = 455/546
Calculation:
1/7 + 14/7 
= 1 + 14/7
=  15/7
The common denominator you can calculate as the least common multiple of the both denominators:   LCM (7, 7) = 7
Add:
15/7 + 12/13 
= 15 . 13/7. 13  + 12 . 7/13 . 7
= 195/91 + 84/91
=  195 + 84/91 
=  279/91
The common denominator you can calculate as the least common multiple of the both denominators:  LCM (7, 13) = 91
Add:
279/91 + 5/6
= 279 . 6/91 . 6 + 5 . 91/6. 91
= 1674/546 + 455/546
= 1674 + 455/546 
= 2129/546
The common denominator you can calculate as the least common multiple of the both denominators:  LCM (91, 6) = 546
Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).
Hope that helps!!!!!!
        
             
        
        
        
Answer:
Step-by-step explanation:
abc = 1
We have to prove that,

We take left hand side of the given equation and solve it,

Since, abc = 1, 
 and c =
 and c = 
By substituting these values in the expression,

                                        
                                        
                                        
Which equal to the right hand side of the equation.
Hence, 
 
        
             
        
        
        
Answer:
Option C.
Step-by-step explanation:
In △ONM and △SRQ,
 
 
 
 
 
We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.
According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.
It is given that  . So, both triangles are similar by SAS if
. So, both triangles are similar by SAS if
 
Substitute the given values.
 
 
 
Divide both sides by 8.
 
 
Therefore, the correct option is C.
 
        
                    
             
        
        
        
The answer to that is y = -6