Answer:
D.Transitive property of equality
Step-by-step explanation:
We are given that segment JK is parallel to segment LM
We have to prove 
We have to find which option correctly justifies the statement 4 of the two - column proof.
1.Statement : JK is parallel to segment LM
Reason: Given
2.
Reason: Vertical angles theorem
3.
Reason:Corresponding angles theorem
4.
Reason: Transitive property of equality.
If a=b and b=c then a=c
Hence, option D is true.
Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
Divide 22.2 by 4 since the perimeter is the outside and there are 4 edges