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°.
In the first bag, picking a black marble would be impossible.
The second bag would be likely.
The third bag would be unlikely.
hope this helps!
Answer:
A. Law of detachment
Step-by-step explanation:
The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.
This condition is made the conclusion.
The Acute and Obtuse are detached of each other.
The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.
Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.
The conclusion of the given statement is valid based on the law of detachment as the condition has been made a conclusion.
Answer:
i think ur right or letter b butu not c
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
Median is defined as the middle value- order the number from least to greatest ; if there is an even number of values, like in this case, order them from smallest to largest..... Add the two middle values and divide by 2..... The result is ur median
- 4,9<u>,10,11,</u>12,14
- 10+11=21
- 21÷2=10.5