Math Problem Statement
Solution
Let's go over the problems you've worked on based on the image.
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Problem 13 (Solving for x):
- Equations:
- Your steps show combining like terms on the left-hand side: .
- By adding to both sides and solving for , you found .
That looks correct!
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Problem 14 (Solving for ):
- Equation: with .
- Your approach is unclear from the image, but you'll need to substitute the given values and solve accordingly.
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Problem 15 (Solving for x):
- Equation: .
- You simplified this to , which is correct!
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Problem 16 (Solving for x):
- Equation: .
- You simplified to , which is correct!
-
Problem 17 (Finding missing values):
- The given angles involve perpendicular lines (indicating 90° relationships).
- Your setup looks correct, but there is more space to solve for the missing values.
Would you like detailed steps for any of these problems? Here are some questions for further practice:
- Can you confirm how to calculate from problem 14?
- How would you approach solving for the missing values in problem 17?
- Why is correct in problem 15?
- How do perpendicular lines help with finding missing angles in problem 17?
- What are other methods to check solutions for linear equations?
Tip: Always double-check your final equations for any arithmetic mistakes.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Geometric Angle Relationships
Formulas
Linear equation: ax + b = cx + d
Angle sum: Supplementary angles sum to 180°
Vertical angles are equal
Adjacent angles form a linear pair
Theorems
Supplementary Angle Theorem
Vertical Angles Theorem
Suitable Grade Level
Grades 8-10
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