Answer:
--- Slope intercept
--- Point slope
Step-by-step explanation:
Given
Perpendicular to 
Required
Determine its equation
The general form of an equation is:

Where

By comparison:

Next, we calculate the slope of L.
Because L is perpendicular to
, the relationship between their slopes is:

Substitute 4 for m

The equation of L in slope intercept form is: 
Substitute -1/4 for m

In point slope form, we have:

Substitute -1/4 for m

A----------D----------C
AD = 2x + 6
DC = 4x - 7
the midpoint D splits AC into 2 equal parts....therefore, AD = DC
2x + 6 = 4x - 7
2x - 4x = -7 - 6
-2x = - 13
x = -13/-2
x = 6.5
DC = 4x - 7......4(6.5) - 7 = 19 <===
AD = 2x + 6.....2(6.5) + 6 = 19
Remember,
sin = op/hyp
cos = adj/hyp
tan = op/adj
For question 3 it would be B and C, because the adjacent side of angle x is 12, the hypotenuse is 37, and cos = adj/hyp. Also, the opposite side of angle z is 12, and the hypotenuse is 37, and sin = op/hyp. So both answers would be 12/37. You would do the same with question 4.
For 5, you would do the same thing. It would be D because you can only take the sin of angle 24, and x is a side. the opposite of 24 is x and the hypotenuse is 11, so sin 24 would be x/11. It is the same for problem 6.
First, You Do 10 and 12 in the parentheses, then subtract 8 and multiply 7. Then This Equals 146. Hope this helps :)
A reasonable estimate would be an estimate of 2.5 feet.