The measure of each exterior angle of a regular polygon is 360/n. For a dodecagon (n=12), it is 360/12 = 30 degrees.

The measure of each interior angle in a regular hexagon can be calculated using the formula (n-2) * 180/n, which gives (6-2) * 180/6 = 120 degrees.

In a regular hexagon, the radius of the circumscribed circle is equal to the length of a side.

The measure of each exterior angle in a regular polygon is 360/n. For a pentagon (n=5), it is 360/5 = 72 degrees.

The measure of each interior angle in a regular pentagon can be calculated using the formula (n-2) * 180 / n, which results in (5-2) * 180 / 5 = 108 degrees.

In a regular pentagon, the number of diagonals is given by n(n-3)/2. For n=5, it results in 5(5-3)/2 = 5, which is equal to the number of sides.

The measure of each exterior angle of a regular polygon is given by 360/n. Setting 360/n = 30 gives n = 12.

Total distance = distance per runner * number of runners = 200 m * 4 = 800 meters.

Total distance = Number of runners × Distance per runner = 4 × 200 m = 800 m.

Total distance = number of runners × distance per runner = 4 × 400 m = 1600 m.

The total distance is 4 runners * 200 meters = 800 meters.

Total distance = Distance per runner * Number of runners = 400 m * 4 = 1600 meters.

Total distance = 4 runners * 400 meters = 1600 meters.

Since Team A finished in a shorter time than Team B, Team A won the race.

The total time for the first two legs is simply the sum of the individual times: 12 + 15 = 27 seconds.

If marginal cost exceeds marginal benefit, the firm should reduce production to avoid losses, making option 1 the correct answer.

This decision reflects budget reallocation, as funds are being shifted from one area to another, making option 0 correct.

Scarcity refers to the limited nature of resources in relation to human wants, making option 1 the correct answer.

While geographical location can be a factor, it is often less influential than cost-benefit analysis, stakeholder interests, and personal biases, making option 3 the least likely.

In a reversible process, the change in entropy of the universe is zero, as the system and surroundings are in equilibrium.

In a reversible process, the change in Gibbs free energy (ΔG) is zero at equilibrium.

In a reversible process at equilibrium, the change in Gibbs free energy is zero.

In a reversible process, the work done is always maximum compared to irreversible processes.

According to Le Chatelier's principle, increasing the concentration of reactants will shift the equilibrium position to the right, favoring the formation of products.

For an exothermic reaction, increasing the temperature shifts the equilibrium position to the left, favoring the reactants, as the system tries to absorb the added heat.

According to Le Chatelier's principle, increasing the concentration of a reactant will shift the equilibrium to the right to produce more products.

Increasing the temperature of an exothermic reaction shifts the equilibrium to the left (towards the reactants), while for an endothermic reaction, it shifts to the right (towards the products).

At equilibrium, the rate of the forward reaction equals the rate of the reverse reaction, which means the concentrations of reactants and products remain constant over time.

According to Le Chatelier's principle, if the concentration of products increases, the equilibrium will shift to the left to counteract the change.

According to Le Chatelier's principle, if the concentration of products increases, the equilibrium will shift to the left to counteract the change.