Answer:
3
Step-by-step explanation:
A direct variation is of the form
y = kx
We know x and y so we can find k
81 = k *27
Divide each side by 27
81/27 = 27k/27
3=k
The constant of variation is 3
 
        
             
        
        
        
The slope in short is:
4/7
        
                    
             
        
        
        
Answer:
26
Step-by-step explanation:
You can determine the slant height of this cone by forming a right triangle with the radius, and height. Therefore, the slant height is:
sqrt(10^2 + 24^2) = sqrt676 = 26
 
        
                    
             
        
        
        
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.
Statement                             Reason
RS ⊥ TS and RV ⊥ TV           Given
∠S = ∠V are right angles      Definition of perpendicular. Since RS ⊥ TS, 
                                                hence ∠S = 90° and RV ⊥ TV hence ∠V = 90° 
ST ≅ VT                                  Given
RT ≅ RT                                  Reflexive property of congruence
ΔTSR  ≅ ΔTVR                      Hypotenuse leg congruence theorem. For 
                                               two right triangles, if the hypotenuse and leg 
                                               of one triangle is the same as the hypotenuse 
                                               and leg of the second triangle, then the two 
                                                triangles are congruent.
RS ≅ RV                                  Definition of congruency.