Segment AB is on the line y-4=-5(x-1), and segment CD is on the line y-4=1/5(x-5). Which statement proves the relationships of segment AB and CD? They are perpendicular because they have slopes that are opposite reciprocals of 5 and -1/5 They are perpendicular because they have slopes that are opposite reciprocals of-5 and 1/5 They are parallel because they have the same slope of 5 They are parallel because they have the same slope of -1/5

answer: hey there,

the answer you are looking for is a..

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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