Answer:
Option D is correct.
Length of PQ is 36 unit.
Explanation:
If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.
Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.
Also it is given that  Angle A is congruent to angle P and angle C is congruent to angle R.
To find the length of QR:
It is given that ΔABC and ΔPQR are Similar triangle
then, by the definition of similar triangle:

Substitute the value of AB, QR and BC to solve for PQ;
 or
 or

On simplify:

Therefore, the length of side PQ is 36 units.
 
 
 
        
                    
             
        
        
        
Answer:
The new coordinates would be (-4, 11)
(-10, 11) (-9, 7) Hope this helps!
 
        
             
        
        
        
Answer:
4x2+5x2-2x+8x=9x2+6x
Step-by-step explanation:
 
        
                    
             
        
        
        
It would be A=18 because of the equation a^2+b^2=c^2.
        
             
        
        
        
Answer:
56 7/10
Step-by-step explanation:
convert 40 1/2 to a fraction 40 1/2 = 81/2
multiply both sides by  7/5
this gets w by itself on the left
81/2 x 7/5 = 567/10 = 56 7/10