Let's go through each problem from the image step by step.

Problem 6:

The circle represents the global aluminum production. The production of a country constitutes $\frac{4}{15}$ of the global production, and this is represented by the shaded sector. We are asked to determine the angle of the shaded sector at the center.

Solution:

• The total angle of the circle is $360^\circ$.
• The fraction of the circle representing the production is $\frac{4}{15}$.

To find the angle, we multiply the total angle by this fraction: $\theta = \frac{4}{15} \times 360^\circ = \frac{1440^\circ}{15} = 96^\circ$

Answer for Problem 6: The angle is $96^\circ$.

Problem 7:

We are given three negative integers $x$, $y$, and $z$, such that: $\frac{x}{0.3} = \frac{y}{0.5} = \frac{z}{0.45}$ We need to determine the order of $x$, $y$, and $z$ in