Answer:
d
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
 =
 =  =
 =  ( cross-  multiply )
 ( cross-  multiply )
5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )
10x + 5 = 8x + 32 ( subtract 8x from both sides )
2x + 5 = 32 ( subtract 5 from both sides )
2x = 27 ( divide both sides by 2 )
x = 13.5 → d
 
        
             
        
        
        
Answer:
11. A. 
12. D. 
Step-by-step explanation:
11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle
Opposite of A = 36
Hypotenuse of the triangle = 39
36/39 = 
12. Tan is the side opposite of the angle divided by the side adjacent to the angle
Opposite of C = 35
Adjacent to C = 12
35/12 = 
Hope this helps!
 
        
             
        
        
        
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
6x + 2y = 28 ( subtract 6x from both sides )
2y = - 6x + 28 ( divide the terms by 2 )
y = - 3x + 14 ← in slope- intercept form
 
        
                    
             
        
        
        
Answer:
The base is decreasing at 2 cm/min. 
Step-by-step explanation:
The area (A) of a triangle is given by:
 (1)
   (1)
Where:
b: is the base 
h: is the altitude = 10 cm 
If we take the derivative of equation (1) as a function of time we have: 

We can find the base by solving equation (1) for b: 

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

 
     
           
Therefore, the base is decreasing at 2 cm/min. 
                
I hope it helps you!