Answer:
The answer to your question is y = -5x + 32 point-slope form
5x + y - 32 = 0 general form
Step-by-step explanation:
Data
(8, -8)
⊥ x - 5y - 6 = 0
Process
1.- Get the slope of the line given
x - 5y - 6 = 0
-5y = -x + 6
y = -x/-5 + 6/-5
y = x/5 - 6/5
slope = 1/5
slope of the new line -5, because the lines are perpendicular
2.- Get the equation of the new line
y - y1 = m(x - x1)
y + 8 = -5(x - 8)
y + 8 = -5x + 40
y = -5x + 40 - 8
y = -5x + 32 point-slope form
Equal to zero to find the general form
5x + y - 32 = 0 general form
Angle TQS is equal to 74 degrees
Answer: The measure of AC is 32.
Explanation:
It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.
The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
So by midpoint theorem length of AC is twice of DF.



Therefore, the length of AC is 32.
Since the side which measures 10 is a vertical projection of the hipotenuse x on a 20 degree angle:
10 = x*sin(20°)
x = 29.238044
Since we have to round to the nearest hundreth:
x = 29.24 m
Heres a trick i learned look at the digit your rounding look to your right is it 5 or higher? yeas add 1 more to the one you are rounding if not then you drop the numbers after the one you are rounding so 8.54 is now just 8.5