Answer:
b.) Transitive Property
Step-by-step explanation:
Transitive property states that:
If 
and 
then 
Similarly here:
∠1≅∠5
∠3≅∠1
∴∠3≅∠5 By Transitive Property.
Answer:
y = (1/2)x + 3
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
The line rises 1 in y for every run of 2 in x
m = slope = rise/run = 1/2
b, The y-intercept is 3
The equation is
y = (1/2)x + 3
30 x 60
Step-by-step explanation:
the length of the perimeter would be 180, subtract 60ft for the fencing replaced by the wall and you meet the maximum 120ft
30X60 gives you the largest area with 1800ft^2
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.
