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I see you've uploaded an image containing a set of math problems. I'll help you by addressing the solutions to these questions.

1. **Question 4**: The decimal representation of \(5 + \sqrt{2}\) is a **non-terminating non-recurring** decimal.  
   **Answer**: (c)

2. **Question 5**: The coefficient of \(x^2\) in \((x^2 + 2)^3\).  
   Expanding \((x^2 + 2)^3\) gives terms where the coefficient of \(x^2\) is **12**.  
   **Answer**: (c)

3. **Question 6**: The zero of the polynomial \(7 + 3x\) is found by solving \(7 + 3x = 0\).  
   Solving gives \(x = -\frac{7}{3}\).  
   **Answer**: (b)

4. **Question 7**: Solving \(x - 15 = 25\) gives \(x = 40\). Which of Euclid's axioms is used to solve it?  
   This uses the axiom: **If equals are subtracted from equals, the remainders are equal**.  
   **Answer**: (d)

5. **Question 8**: The point that lies on the line representing \(y = 3x\).  
   Substituting each option in \(y = 3x\), only (2, 6) satisfies the equation.  
   **Answer**: (a)

6. **Question 9**: The distance between points A (4, 0) and B (0, 3) is given by the distance formula:  
   \[
   d = \sqrt{(4-0)^2 + (0-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5
   \]  
   **Answer**: (a)

7. **Question 10**: "A terminated line can be produced indefinitely" is a **postulate**.  
   **Answer**: (d)

8. **Question 11**: If the measure of an angle is 5 times its complement, let the angle be \(x\) and its complement be \(90^\circ - x\).  
   \[
   x = 5(90^\circ - x)
   \]  
   Solving this gives \(x = 75^\circ\).  
   **Answer**: (d)

9. **Question 12**: In the given figure, if \(AB \parallel DE\), the angle \(x\) can be found using the parallel line properties. The answer is **75°**.  
   **Answer**: (d)

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Would you like more detailed solutions or explanations? Here are 5 questions for further practice:

1. How do you expand and simplify binomial expressions?
2. What is the method for solving polynomials for their zeros?
3. How do you determine the distance between two points in a coordinate plane?
4. What are Euclid's five axioms in geometry?
5. How do complementary angles work in geometry?

**Tip**: Always verify results by substituting your solution back into the original equation, especially when solving polynomials or algebraic equations!

Various math questions on topics such as decimal representation, coefficients, polynomials, Euclidean axioms, distance between points, and complementary angles.

Solve math problems related to decimal representation, algebraic equations, Euclidean geometry, and more. Topics include distance formula, complementary angles, and properties of polynomials. Suitable for Grades 8-10.

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