Answer: First option.
Step-by-step explanation:
You can use the inverse tangent function to find the value of the angle T:

You can identify in the figure that:

Then, knowing these values, you can substitute them into
.
Therefore, you get that the value of the angle T rounded to the nearest degree is:

This matches with the first option.
Answer:
3000
Step-by-step explanation:
from the question, (-2,2) and (1,2) have the same y value so you can use that as your base and easily find the perpendicular height using the y axis since it's parallel to the x axis.
the third point, (0,-6), to the base is your height
use the sum of the positive of the y values to find your height (because height can't be negative): 6+2 = 8
area of a triangle = 1/2 bh = 1/2 x 3 x 8 = 12
Note: 1/2 bh only works because (-2,2) and (1,2) form a line parallel to the x axis
Answer:
Step-by-step explanation:
The two angles must add to 180
(4x-2)+(3x+14)=180
7x+12=180
7x=168
x=24
Answer: - 17/3
Step-by-step explanation: