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x = 39.

Step-by-step explanation:

The sum of the two opposite interior angles is equal to the exterior angle, so 2x-8 = x+31. Subtract x from both sides to get x-8 = 31. Add 8 to both sides to get a final answer of x=39.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

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