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Let's go through each question visible in the image:

1. **Q7:** "What is each angle size in a triple junction?"  
   Answer: 120°.  
   A triple junction occurs when three angles meet at a point. Since the sum of angles around a point is 360°, dividing that by 3 gives 120° per angle.

2. **Q8:** "6 - 5/8 = 5.375"  
   This is a subtraction of a fraction from a whole number. The result, 5.375, is correct. Converting 5/8 to decimal gives 0.625, and subtracting from 6 results in 5.375.

3. **Q9:** "Find 400% of $40."  
   Answer: $160.  
   400% of a number is 4 times the original number. So, $40 \times 4 = 160$.

4. **Q10:** "A quadrilateral with two pairs of congruent adjacent sides is called a kite."  
   Answer: Kite.  
   A kite is defined as a quadrilateral with two distinct pairs of adjacent sides that are congruent.

5. **Q11:** "The volume of a coffee tin 10 cm deep and 20 cm in diameter is ______ cm³."  
   To calculate the volume of a cylindrical object:  
   Volume = π × r² × h, where r is the radius and h is the height.  
   Here, the diameter is 20 cm, so the radius is 10 cm. The height (depth) is 10 cm.  
   Volume = $ \pi \times 10^2 \times 10 \approx 3141.59 $ cm³.

6. **Q12:** "Is a triangle with sides of 3, 4, and 5 a Pythagorean triple?"  
   Answer: Yes.  
   A Pythagorean triple consists of three positive integers that satisfy the equation $a^2 + b^2 = c^2$. For sides 3, 4, and 5:  
   $3^2 + 4^2 = 9 + 16 = 25 = 5^2$, so the triangle is a Pythagorean triple.

7. **Q13:** "Two sisters share an inheritance of $1 million dollars by a ratio of 2:3. How much does each sister inherit?"  
   The total ratio parts are $2 + 3 = 5$.  
   The first sister receives $ \frac{2}{5} \times 1,000,000 = 400,000 $, and the second sister receives $ \frac{3}{5} \times 1,000,000 = 600,000 $.

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Would you like further details or explanations on any of these answers?

Here are 5 related questions to expand your knowledge:

1. How do you calculate the interior angles of polygons based on the number of sides?
2. What is the relationship between percentages and fractions in real-world applications?
3. What are the properties of different types of quadrilaterals, such as rectangles, rhombuses, and kites?
4. How can the Pythagorean theorem be applied in three-dimensional geometry?
5. How can ratios be used to solve real-world problems involving sharing or dividing quantities?

**Tip:** When calculating volumes of 3D shapes like cylinders, always double-check your units to ensure consistency (e.g., cm for both height and radius).

A series of math problems including: calculating the volume of a coffee tin, checking for a Pythagorean triple, and dividing an inheritance according to a ratio.

Solve a variety of math problems, including calculating the volume of a coffee tin, verifying a Pythagorean triple, and dividing a $1 million inheritance based on a 2:3 ratio. These problems cover concepts in geometry, percentages, and algebra, suitable for Grades 7-9.

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