You will notice that 48°, x, and x lie upon a straight line. The sum of those angles must then be equal to 180°. Which means:
48+x+x=180
48+2x=180
2x=132
x=66°
Answer:

Step-by-step explanation:
The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:

where
r is the radius of the base of the cylinder
h is the height of the cylinder
In this problem we have:
h = 96 mm is the height of the can
d = 66 mm is the diameter of the can
So the radius of its base is

And therefore, the volume of the can is:

For this case we have that the point-slope equation of a line is given by:

Where:
m: It is the slope of the line
It is a point through which the line passes
In this case we have to:

Substituting in the equation we have:

Answer:

We just need to replace the value of the slope
Try this way:
S=S₁-S₂, where S - area of the figure, S₁ - area of the triangle, S₂ - area of the quadrangle.
S=0.5*(5+2)*(5+4)-2*4=31.5-8=23.5 in.²
Answer: 23.5 in.²