Answer:
The Proof is given below.
Step-by-step explanation:
Given: 
LN⊥KM,
KL≅ML 
To Prove: 
ΔKLN≅ΔMLN
Proof:
In  Δ KLN and Δ MLN
KL ≅ ML     ....……….{Given i.e Hypotenuse }
LN ≅ LN     …………..{Reflexive Property}
∠ LNK ≅ ∠ LNM  ……….{ LN ⊥ KM i.e Measure of each angle is 90° given}
Δ KLN ≅ Δ MLN     ….{By Hypotenuse Leg Theorem}
....Proved
 
        
             
        
        
        
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
 
        
             
        
        
        
Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula

On substituting the values from the point, we will get

Now we will use slope intercept form, which is

Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get


b =0
Substituting the values of m and b in the slope intercept form, we will get

 
        
                    
             
        
        
        
Answer:
For x there is no distance since they are both for. For y, they are -6 apart.
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
588
Step-by-step explanation:
((16 - (4/2))^2) × 3      Simplify the inner parentheses
((16 - 2)^2) x 3     Solve inner parentheses again
((14)^2) x 3        Solve exponents
196 x 3      Multiply
588