Rectangles hijk and wxyz are similar. all of the following proportions can be used to solve for m except a) 2/m = 3/5 b) 2/3 = m/5 c) 5/m = 3/2 d) m/3 = 2/5

d

Step-by-step explanation:

The similar sides always have to be paired up or with the number that's on the same rectangle.

a is good because 2 and m are on the same rectangle just like 3 and 5

b is good because m corresponds to 5 just as 2 does to 3

c is good for the same reason as b

d doesn't fit the criteria

also if you solve for m using every proportion, a, b, and c all end as m=10/3 but d had m=6/5

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