Answer:
The required answer is  
 
Therefore the number in green box should be 7.
Step-by-step explanation:
Given:
AB = 7√2 
AD = a , BD = b , DC = c , AC = d
∠B = 45°, ∠C = 30°
To Find:
c = ?
Solution:
In Right Angle Triangle ABD Sine identity we have

Substituting the values we get


Now in Triangle ADC Tangent identity we have

Substituting the values we get

The required answer is  
 
 
        
             
        
        
        
The answer is n^4. This is calculated by just subtracting the exponents. Hope this was what you were asking.
        
             
        
        
        
Answer:
-12.8x - 20y + 8.4
Step-by-step explanation:
To do this you just multiply everything by negative 4
so we have 3.2x*-4 + 5y*-4 - 2.1*-4
This gives us 
-12.8x - 20y + 8.4
The last term is positive because we multplied a negative by another negative
 
        
             
        
        
        
Answer:
m = -13/10
Step-by-step explanation:
Madison, imagine that you're moving from (-6, 6) to (4, -7) with interest in knowing how much x (the run) and y (the rise) change.
In the first instance, x increases by 10 from -6 and +4.  Simultaneously, y decreases by 13 from 6 to -7.
Thus the slope is m = rise / run = m = -13/10