Answer:
9) x = 89°
10) x = 118°
11) x = 145°
12) x = 40°
Step-by-step explanation:
9) 180-91 = 89
10) x = 118° because it is alternate interior to 118
11) x-30 = 115, x = 145
12) 4x-15 = 145, 4x = 160, x = 40
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt

Substituting the values we get

Also Slope of line when angle ' θ ' is given as

Substituting Slope = 1 we get


We Know That for angle 45°,
tan 45 = 1
Therefore

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
The total would be $4.68. It is $0.78 for 0.4 of a pound, and you multiply $1.95 two times aqnd add that to the $0.78
Answer:
40 degrees
Step-by-step explanation:
180-140=40