https://file.aiquickdraw.com/mathbot/file/17264738643814amdblrv.pdf

The document contains a variety of geometry, algebra, and word problems. Here's a summary of the types of problems provided:

1. **Triangle Geometry**: 
   - Range of values for \(x\) in a triangle.
   - Find \(x\) and the longest side.

2. **Exterior and Interior Angles**: 
   - Proving relationships between exterior and interior angles in polygons.

3. **Circle Geometry**: 
   - Finding angles using tangent properties and circle theorems.

4. **Rectangular Geometry**: 
   - Solve for \(x\) in terms of perimeter, involving quadratic expressions.

5. **Algebraic Equation**: 
   - Solve a non-linear equation involving \(y\).

6. **Phone Plan Cost Comparison**: 
   - Comparing two phone plans and determining at what cost the plans are equivalent.

7. **Garden Dimensions**: 
   - Using perimeter to determine dimensions of a rectangular garden.

8. **Line Intersection and Area**: 
   - Find the area of a region enclosed by specific lines.

9. **Swimming Pool Tiling**: 
   - Calculating the perimeter of a rectangular pool based on tile information.

10. **Currency Conversion**: 
    - Writing an equation for currency conversion and applying it to scenarios.

11. **Travel and Speed Graphs**: 
    - Graphing and analyzing speed/distance data over time.

12. **Journey Time Analysis**: 
    - Calculating distances and constructing a distance-time graph based on varying speeds.

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The document contains a variety of geometry, algebra, and word problems.

This page covers key problems in triangle geometry, exterior and interior angles, circle geometry, rectangular perimeter calculations, algebraic equations, and word problems like phone plan comparisons and garden dimensions. Suitable for Grades 9-11 students.

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