Answer:
Step-by-step explanation:
The formula for determining the slope of a ramp is expressed as
Slope = rise/run
The first ramp has the rise of 5 feet and run of 12 feet. This means that the slope of the first ramp is
Slope = 5/12 = 0.417
The second has the rise of 6 feet and the run of 3 feet. This means that the slope of the second ramp is
Slope = 6/3 = 2
The lower the run, the steeper the slope. This means that the second ramp is steeper than the first ramp.
This can be confirmed by calculating the angle formed by each ramp. To determine the angle formed by the ramp with the horizontal, we would apply we would apply
the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Considering the first ramp,
Tan θ = 5/12 = 0.417
θ = Tan^-1(0.417)
θ = 22.6°
Considering the second ramp,
Tan θ = 6/3 = 2
θ = Tan^-1(2)
θ = 63.4°
The second ramp forms a greater angle. Thus, it is steeper.
30/78 simplified is 15/39
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Answer:
slope=1/4
y-intercept=3
y=.25x+3
Step-by-step explanation:
slope=rise over run so
slope=1/4
y-intercept is the value of y where the line crosses the y axis..
y-intercept=3
In y=mx+b form m is slope and b is y-intercept so...
y=.25x+3
The answer is a. to be a function there can’t be an x value that is the same to a different y value. so as an example (6,7) (3,2) (5,6) (6,3) is not a function because 6 appears 2 times as an x value but with different y values. but you can have the same y value.
