Answer/Step-by-step explanation:
Given: 
m<MNQ = 132°
m<Q = 54°
m<P = 3x
1. m<MNQ = m<P + m<Q 
Reason: exterior angle theorem of a triangle
Plug in the values 
2. 132° = 3x + 54° 
Reason: Substitution
3. x = 26
Reason: Algebra
132 - 54 = 3x (substraction property of equality)
78 = 3x
78/3 = x (division property of equality)
26 = x
x = 26
 
        
             
        
        
        
Answer:
the volume of the sphere is 

Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v =   64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
 


![l= \sqrt[3]{64}](https://tex.z-dn.net/?f=l%3D%20%5Csqrt%5B3%5D%7B64%7D)

also diameter d=length l
Diameter d=   
 
Radius r =   =
=  =
= 
Height h=
we know that the volume of a sphere is given by

substituting into the formula we have

 
        
             
        
        
        
X 
216 
1000 
Hope it helps:)
        
             
        
        
        
d(x) = { (x,y): y = sqrt(x) and y >=0 }
since sqrt function requires x to be >=0 so 
<u>x >= 0</u>
 
        
                    
             
        
        
        
The other end point is 0,4