https://file.aiquickdraw.com/mathbot/file/17225215850090jn0yy2h.png

Let's solve the two questions one by one.

### Question 1:

The line graph shows the percent of cars for sale at a used car lot on a given day by model year. The question asks for the model year when the percent of cars for sale is the smallest.

To solve this, we need to identify the point on the graph where the percent of cars for sale is the lowest.

From the graph:
- 2010: 10%
- 2011: 10%
- 2012: 10%
- 2013: 5%
- 2014: 2%
- 2015: 10%
- 2016: 7%
- 2017: 8%
- 2018: 9%
- 2019: 10%

The smallest percent is in 2014, where the percent of cars for sale is 2%.

**Answer: C) 2014**

### Question 3:

In the figure, line \( m \) is parallel to line \( n \), and line \( t \) intersects both lines. We need to find the value of \( x \).

Given:
- \( \angle \) between \( t \) and \( n \) is \( 33^\circ \).

Since lines \( m \) and \( n \) are parallel, the alternate interior angles formed by the transversal \( t \) are equal. Therefore:

\[ x = 33^\circ \]

**Answer: A) 33**

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Do you have any questions or would you like further details?

### Related Questions:
1. What is the meaning of parallel lines in geometry?
2. How do alternate interior angles relate to parallel lines?
3. How to read a line graph effectively?
4. What are transversal lines?
5. How can you determine the slope of a line from a graph?
6. What are some real-world applications of understanding percentages from graphs?
7. What are the properties of angles when a transversal intersects parallel lines?
8. How can you calculate percent changes over time from a graph?

**Tip:** When working with graphs, always note the axes and units to ensure accurate interpretation.

Learn how to solve two math problems involving graph interpretation and angles in geometry. The first problem analyzes a line graph to find the model year with the smallest percent of cars for sale, while the second problem determines the value of an angle formed by intersecting lines. Suitable for Grades 7-9.

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