Which pair of inequalities would overlap if they were graphed?
x > 0, x < -5
x ≤ 5, x > 5
x ≤ 10, x > 4
x ≥ 10, x ≤ 4

x ≤ 10, x > 4

Step-by-step explanation:

If x is less than or equal to 10, the line starts on 10 and includes all the numbers to the left . . . .-2-1 0 1 2 3 4 5 6 7 8 9 10,11,12,. . .

If x is greater than 4 it's  . -1,0,1 2 3 4,5 6 7 8 9 10 11 12 13 . . .

So there is an overlap of the numbers between 4 and 10 (not including 4, just a little more. . )

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