Answer:
Step-by-step explanation:
Formula for straight lines:
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
Substitute b into original formula
A) angle 1 = angle 2 - Incorrect
These angles are only on one of the following lines, which means that they do not show that lines C and D are parallel. In addition, angles 1 and 2 are supplementary, so they could not be equal.
B) angle 1 + angle 2 = 180 - Incorrect
Though this is true, this does not prove that lines C and D are parallel because both of these angles are on the same line.
C) angle 2 = angle 3 - Correct
These angles are alternate interior angles and there are angles on both lines, which proves that lines C and D are parallel.
D) angle 2 + angle 3 = 180 - Incorrect
These angles are equivalent, so they cannot add up to 180 degrees unless the intersecting line was perpendicular to both lines C and D.
Hope this helps!! :)
Answer:
3√3
Step-by-step explanation:
If sinx = 4/8, find Cos (6x)
we need to first find cos
but applying trigonometry rule
sin²x+cos²x = 1
sinx = 4/8
sin²x = (4/8)² = 4²/8² = 16/64
from the rule
cos²x= 1 -sin²x = 1-16/64 = 64-16/64 = 48/64 = 3/4
cos²x = 3/4
cos x = √3/4 = √3/2
cos 6x = 6 x √3/2 = 3√3
