https://file.aiquickdraw.com/mathbot/file/17274358750035igvxort.jpg

Let's analyze and solve each of the questions from the image one by one.

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**Question 7:**
The figure shows a triangle $ \triangle ABC $, where $ BCDE $ is a square. You're asked to find the measure of angle $ A $.

- Given that $ BCDE $ is a square and one of the angles is $ 25^\circ $, we can use geometry to deduce that angle $ A $ is $ 45^\circ $.
- This is because the triangle formed by the square and the right-angle geometry suggests that the triangle is isosceles with the remaining angle $ A $.

**Answer**: $ C. 45^\circ $

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**Question 8:**
The graph displays the profit made from selling necklaces. The key observation is that once 4 necklaces have been sold, the graph shows a linear increase in profit.

- The slope of the line represents the profit per additional necklace sold. From the graph, we can calculate this by observing the change in profit for each necklace.
- From the graph, for every 1 additional necklace, the profit increases by $ \$5.00 $.

**Answer**: $ D. 5.00 $

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**Question 9:**
The standard fare for the cruise is $ \$1200 $, and it is reduced by 30%. You are asked to calculate how much each person will pay after the reduction.

- A 30% discount on $ \$1200 $ means the ticket price is reduced by $ 0.30 \times 1200 = 360 $.
- Therefore, the reduced price is $ 1200 - 360 = 840 $.

**Answer**: $ D. 840 $

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**Question 10:**
The question asks which type of graph **could not** be used to represent the given data about students’ favorite colors.

- A stem-and-leaf plot is typically used for numerical data, and since the data here is categorical (colors), a stem-and-leaf plot would not be appropriate.

**Answer**: $ D. stem-and-leaf plot $

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Do you need further explanation on any of these?  
Here are five related questions to consider:

1. How do you calculate the slope of a line from a graph?
2. What are the properties of an isosceles triangle that might apply in Question 7?
3. How do you find the percentage of a given value (as in the cruise discount)?
4. Why is a stem-and-leaf plot unsuitable for categorical data?
5. Can you identify other types of plots suited for displaying categorical data?

**Tip**: When analyzing word problems, carefully extract numerical relationships from graphs or descriptions before applying formulas.

In the figure, BCDE is a square. What is the measure of angle A? What amount of profit does Julianne earn for each additional necklace after selling four necklaces? What is the new fare price after a 30% reduction? Which graph cannot represent favorite colors?

This page covers key math problems involving geometry, calculating profits from a graph, and applying a percentage reduction. Includes a step-by-step explanation of how to measure angles, calculate the slope from a linear graph, and apply percentage discounts. Suitable for students in Grades 6-8.

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