Compare the quantity in column a with the quantity in column b. choose

The quantity in column A is greater ⇒ first answer

Step-by-step explanation:

* lets talk about how to compare between two quantity

- If the two quantity are positive, the greatest is which has

 the biggest value

Ex : 5 > 3

- If the two quantity are negative, the greatest is which has

 the smallest absolute value

Ex : -2 > -3

- If one of the negative and the other is positive, then the

 positive is the greatest one

Ex: 7 > -4

* In the problem we have in column A tan(30°) and in

 column B tan(120°)

- Lets check the position of each angle in the quadrant system

∵ Angle 30 is acute angle

∴ It lies on the first quadrant

∴ The value of tan(30) is positive

∵ Angle 120 is obtuse angle

∴ It lies on the second quadrant

∴ The value of tan(120) is negative ⇒ According to ASTC rule

* ASTC rule

# All trigonometry functions are positive in the 1st quadrant

# The value of sin and csc only are positive in the 2nd quadrant

# The value of tan and cot only are positive in the 3st quadrant

# The value of cos and sec only are positive in the 4st quadrant

∵ tan(30) is positive and tan(120) is negative

∴ tan(30) > tan(120)

* The quantity in column A is greater

93km/hr

Step-by-step explanation:

Using the formula Speed = Distance/Time. From the formula we can substitute for time as shown;

Time = Distance/Speed

Let the distance and speed  travelled by Mia be Dm ans Ds respectively

Distance travelled by Kirk be Km and and Ks respective.

Time taken be Mia to travel Tm = Dm/Sm

Time taken be Kirk to travel Tk = Dk/Sk

Since it takes the same length of time for both of them to travel, then Tm = Tk. Hence Dm/Sm = Dk/Sk

Given parameters

Dm = 558 kilometers

Dk = 522 kilometres

If Mia’s average driving speed is 6 kilometers per hour faster than Kirk’s, then Mia's driving speed Sm = 6 + Sk

Required

Mia’s average speed (Sm)

Since Dm/Sm = Dk/Sk

Substituting the given values to get Sk first we have;

558/6+Sk = 522/Sk

Cross multiply

558Sk = 522(6+Sk)

open the parenthesis

558Sk = 3132 + 522SK

558Sk-522Sk = 3312

36Sk =3132

Sk = 3132/36

Sk =87km/hr

SInce Sm = 6+Sk

Sm = 6+87

Sm = 93km/hr

Hence Mia's average speed is 93km/hr