Parallelogram JKLM is graphed on a coordinate plane. The lengths of segments JK and ML are equal to each other,
and the lengths of segments KL and JM are equal to each
other. Which of the following would prove that JKLM is a
rectangle?
Select one:
O
The slopes of ML and JM are opposite reciprocals.
The slopes of ML and KL are reciprocals.
The slopes of lk and JM are the same
The slopes of JK and KL are opposites.

x

step-by-step explanation:

32

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west