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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°.
Hi!
We can see the river is a straight line.
This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.
Therefore:

Combine like terms:

Subtract 21 from both sides:

Divide both sides by 3:

Therefore, the value of x is 53 degrees.
Answer:
5
Step-by-step explanation:
2v equal to 10
1v equal to 10 divide 2 equal to 5
Answer:
3 1/2 almonds 1 1/2 raisins
Step-by-step explanation: