Answer:
A. 3/2
Step-by-step explanation:
To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :
sin(30) x 3 = ?
0,5 x 3 = ?
1,5 = ?
1,5 = 3/2
 
        
             
        
        
        
Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC;           in triangle ΔFGH;
              in triangle ΔFGH; 
Segment  = 14
 = 14          Segment
               Segment  = 14
 = 14
Segment  = 27
 = 27          Segment
              Segment  = 19
 = 19
Segment  = 19
 = 19          Segment
               Segment  = 2·y + 5
 = 2·y + 5
∡A = 32°                        ∡G = 32°
                ∡G = 32°
∡A = ∠BAC which is the angle formed by segments  = 14 and
 = 14 and  = 19
 = 19 
Therefore, segment  = 27, is the segment opposite to ∡A = 32°
 = 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments  = 14 and
 = 14 and  = 19
 = 19
Therefore, segment  = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
 = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
 ≅
 ≅  by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
 by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴  =
 =  = 27° y definition of congruency
 = 27° y definition of congruency
 = 2·y + 5 = 27° by transitive property
 = 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27° 
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
 
        
             
        
        
        
Answer:
2y=52
Step-by-step explanation:
1st equation *(-3) and 2nd *(2)
-6x-10y=34
6x+12y=18
eliminate -6x and 6x 
add both equations 
2y=52
 
        
                    
             
        
        
        
Answer:
c^2=a^2+b^2
c^2=6^2+8^2
c^2=36+64
c=10
but still do not understand why peoples are asking that basic
 
        
                    
             
        
        
        
Answer:  The required value is

Step-by-step explanation:  The given functions are:

We are given to find the value of 
We know that, if s(x) and t(x) are any two functions of a variable x, then we have

Therefore, we have

Thus, the required value is
