Give two or more solutions to x< 29. Show why each value is a solution.

x = 10

x = -10

Step-by-step explanation:

x = 10

We can start by comparing the tens digit, as each number has two digits.

29 vs 10

2 vs 1

2 is greater than 1; therefore, as the biggest digit is larger and each number has the same amount of digits, 29 > 10 and x= 10 < 29

x = -10

29 is positive, and -10 is negative. Any negative number is smaller than any positive number, so x = -10 < 29

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