Answer: 45
Step-by-step explanation:
The total degrees in a circle is 360.
The perpendicular angle that you see is 90 degrees, added to angles of x and 3x, you get the total degrees.
so 90 + x + 3x = 90 + 4x = total
90 + 4x = 360
4x = 180
x = 45 degrees
Well if you write the statement as an equation then that will get you
3*x^2 = 12x
Now we just solve. You can divide both sides by 3x and that gives you x = 4
The area of a parallelogram is equal to the base times the height.
In terms of algebra
A = b*h
We know the base is b = 8.2,the area is A = 65.6, though we don't know the height h. We can use algebra to solve
A = b*h
65.6 = 8.2*h
8.2*h = 65.6
8.2*h/8.2 = 65.6/8.2 <--- divide both sides by 8.2
h = 8
The height of the parallelogram is 8 inches
Answer:

Step-by-step explanation:
Given

Perpendicular to 
Required
Determine the line equation
An equation has the form

Where

By comparison with 

Because the line is perpendicular to
, the following relationship exists
i.e. the condition for perpendicularity
Where m1 is the slope of the equation that passes through 
So, we have:


The line equation is then calculated using:

Where


So, we have:


Add 11 to both sides



<em>The B, C and D parts of your question are not clear.</em>
<em>Apply the same steps used in (a) above and you'll get your answers</em>
38 x 1 = 1
38 x 0.1 = 3.8
38 x 0.01 = 0.38