1/5 (c) since it goes up only one and then over 5
Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle
:

12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle
:

Answer:

Step-by-step explanation:
Angle A and angle E are the same value, therefore you could replace angle E with angle A. So that would make a triangle with angle C, angle D, and angle A. Knowing the sum of all angles in a triangle is 180, we can make an equation representing this.

Now simply silve the equation to find x.

There is your answer.
Answer:
3
Step-by-step explanation:
Intercept theorem
DE // CB ⇒ 
⇒ 
⇒ ? = 3
Answer:
first option: Harulo is correct because the angle is coterminal with 3π / 4 and the reference angle is π / 4.
Explanation:
1) 19 π/4 = 4π + 3 π/4, which is 4 complete turns and 3/4 of turn.
2) 3 π/4 is in the third quadrant, so the reference angle is π - 3 π/4 = π/4
3) sin (π/4) = sin (3π/4) = (√2) / 2
4) csc (π/4) = 1 / [ sin (3π/4) ] = 1 / [ (√2) / 2 ] = 2 / (√2) = √2, which shows the validity of the statement and csc(19π/4) = √2.