I have opened the image you uploaded. To better assist you, I'll extract the mathematical content from it and guide you through the solution.

Looking at the questions:

1. Question 7 asks for the length of $x$.

   • $x$ seems to be the missing side of the trapezoid $T$.
   • The scale factor is provided as 4, and trapezoid $S$ has corresponding sides given as 2.2 cm and 4.5 cm.

2. Question 8 asks for the length of $y$, which seems to refer to another part of the trapezoid or a corresponding figure.

3. Question 9 asks for the scale factor from $S$ to $T$, but it seems to repeat the earlier information (scale factor = 4).

To calculate $x$, you can use the scale factor of 4. Let's assume that trapezoid $T$ is 4 times larger than trapezoid $S$.

Given side lengths for $S$:

• One side = 2.2 cm.

For trapezoid $T$:

• Corresponding side $x$ can be calculated by multiplying the side of $S$ by 4.

Let me calculate this for you.The length of $x$ (the corresponding side in trapezoid $T$) is 8.8 cm.

Would you like help with other questions, such as the length of $y$, or further clarification on the scale factor calculations?

Here are 5 related questions you might explore:

1. How do we apply scale factors to non-linear dimensions like area or volume?
2. If the area of trapezoid $S$ is known, how can we find the area of trapezoid $T$?
3. What is the effect of the scale factor on the perimeter of similar figures?
4. How do you find unknown dimensions if the scale factor is a fraction instead of a whole number?
5. What would the reverse scale factor be from trapezoid $T$ to trapezoid $S$?

Tip: Always check whether the scale factor is applied uniformly to all corresponding dimensions (sides, areas, or volumes), as they scale differently.