Answer:
Remember that the slope of perpendicular lines are negative reciprocals of each other.Step-by-step explanation:y = 1 - 2x the slope is -2 the value of the x term.So the slope of the new line using point (- 1, 2) is 1/2.Now use y = mx + b where y = -1, x = 2, and m = 1/2 .y = mx + b-1 = 1/2(2) + b solve for "b", the y-intersect-1 = 1 + b-2 = bThe line that is perpendicular to y = 1 - 2x is y = 1/2x - 2
Step-by-step explanation:
Arrange data set in ascending order:
State A: 21, 22, 22, 23, 23, 23, 24, 24, 25
State B: 20, 20, 21, 22, 23, 23, 24, 46, 50
State A State B
minimum 21 20
1st Quartile 22 20.5
median 23 23
3rd Quartile 24 46
maximum 25 50
IQR 2 25.5
1)81° due to the fact that 99° and (1) are supplementary angles
2)99° due to the fact that (5) and (2) are adjacent angles that sum up to equal 180°
3)81° due to the fact that it is the corresponding angle to (5)
4)99° due to the fact that (4) and (2) are alternate interior angles which equal the same
5)81° due to the fact that (5) and (6) are adjacent angles which means they are supplementary angles that add to equal 180°
6)99° due to the fact that (6) and (2) are corresponding angles which equal the same value
7)81° due to the fact that (7) and (3) are corresponding angles with equal the same degree
Answer:
Looking at the graphic, if a 45-45-90 triangle has a hypotenuse of 1, then each of the side lengths equal 1 / square root (2)
Source: https://www.1728.org/trig2.htm
Step-by-step explanation: