If δuvw is dilated from point u by a scale factor of 2, which of the following equations is true about segment a prime b prime?

triangle uvw is shown with point a lying on side uv and point b lying on side uw. line ab is perpendicular to side uw.
segment a prime b prime = one half segment ab segment a prime b prime = two segment ab segment a prime b prime = segment ab segment a prime b prime = three segment ab

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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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

the absolute value function