5n+8 =-62
subtract 8 from each side
5n = -70
divide by 5
n = -14
 
        
             
        
        
        
Break down the problem into these two equations;
x = -31
-x = -31
Solve for the 1st equation; x = -31
x = -31
Solve for the 2nd equation; -x = -31
x = 31
Collect all solutions
x = ±31
Check the solution
When x = -31, the original equation; |x| = -31 does not hold true. Thus, we will drop x = -31 from the solution set. 
Check the solution again;
When x = 31, the original equation |x| = -31 does not hold true as well. Thus we will drop x = 31 from the solution set.
Therefore,
<u>No solution exists to this equation. </u>
 
        
                    
             
        
        
        
Answer:
1)  (c)∠ G = 34° 
2) (a)  x = 33°
3) (d) The perpendicular segments are  JM, KL, PQ AND NR.
Step-by-step explanation:
Here in the given questions:
1)  p II r
⇒ ∠ G  = 34°  (ALTERNATE EXTERIOR ANGLES)
Hence, the measure of  ∠ G = 34° 
2) In the given triangle:
The measure of exterior angle is always the sum of interior opposite angles.
⇒  Here,  x + 72°  = 105°
or, x = 105° - 72° =   33°   , or x = 33°
3) The given plane in the cube is JKPN
The segments which have J , K , P and N as their one vertex are perpendicular to the given plane.
Hence, the segments are  JM, KL, PQ AND NR.
 
        
             
        
        
        
Answer:
-7
Step-by-step explanation:
Given

Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.

So, we have:




<em>Hence, the first differences are -7 (all through)</em>