Answer:
B. 30
Step-by-step explanation:
3x + 2x + x = 180 (angle sum of a triangle is 180)
6x = 180
x = 30
Answer:
The volume of the ball with the drilled hole is:

Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

Then we set the integral for the volume by using shell method:

That can be solved by substitution:

The limits of integration also change:
For x=5: 
For x=15: 
So the integral becomes:

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

Then applying the basic rule we get:

Since that is just half of the solid, we multiply by 2 to get the complete volume:


Answer:
...Which is the required Equation.
Step-by-step explanation:
Question is
Translate this sentence into an equation
28 is the product of Julie score and two.
Solution:
Let the Julie score denoted by 'x'
According to the given condition,
28 is the product of Julie score and two
i.e 28 = 'x' × 2

...Which is the required Equation.
Answer:
7x65 is 455
Step-by-step explanation:
I need more info if this does not workout...
Answer:
See explanation
Step-by-step explanation:
a) To prove that DEFG is a rhombus, it is sufficient to prove that:
- All the sides of the rhombus are congruent:

- The diagonals are perpendicular
Using the distance formula; 








Using the slope formula; 
The slope of EG is 

The slope of EG is undefined hence it is a vertical line.
The slope of DF is 

The slope of DF is zero, hence it is a horizontal line.
A horizontal line meets a vertical line at 90 degrees.
Conclusion:
Since
and
, DEFG is a rhombus
b) Using the slope formula:
The slope of DE is 

The slope of FG is 
