Answer:in first part of equation add 10x and 3x (like terms)
13x-4.5=12x-1.1
move all terms containing x to left side of equation
13x-4.5-12x= -1.1
x-4.5= -1.1
Subtract 4.5 from both sides
x=3.4 
Step-by-step explanation:
 
        
                    
             
        
        
        
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:
The perimeter (to the nearest integer) is 9.
Step-by-step explanation:
The upper half of this figure is a triangle with height 3 and base 6.  If we divide this vertically we get two congruent triangles of height 3 and base 3.  Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles:  (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.
Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.
The lower half of the figure has the shape of a trapezoid.  Its base is 4.  Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle.  Using the Pythagorean Theorem, we get
(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10.  Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.
Then the perimeter consists of the sum 2√10 + 4 + 6√2.
which, when done on a calculator, comes to 9.48.  We must round this off to the nearest whole number, obtaining the final result 9. 
 
        
             
        
        
        
58 - 47 = 11
(written out in spoken words)
fifty-eight minus forty-seven equals eleven
Hope this helps!
        
             
        
        
        
I was to tired to write it down