Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
number 9
![## Transcription for Educational Website
### Geometry Problem and Solution
**Problem Description:**
In the given diagram, \( QU = 120 \), \( SU = 50 \), and \( RS = ST \). Your task is to find the indicated values.
- \( RS = 3x - 16 \)
- \( ST = 4x - 8 \)
- \( RT = 60 \)
**Steps to Solve:**
1. **Equation Setup:**
- Identify that point \( S \) is between points \( R \) and \( T \) on the line segment \( RT \). Utilize this information to write equations in terms of \( x \).
- Given:
\[
RS = 3x - 16
\]
\[
ST = 4x - 8
\]
- Note that \( RS + ST = RT \).
2. **Equation Solution:**
- Write the equation:
\[
(3x - 16) + (4x - 8) = 60
\]
- Combine like terms:
\[
7x - 24 = 60
\]
- Add 24 to both sides:
\[
7x = 84
\]
- Divide by 7:
\[
x = 12
\]
- Substitute back to find \( RS \) and \( ST \):
\[
RS = 3(12) - 16 = 36 - 16 = 20
\]
\[
ST = 4(12) - 8 = 48 - 8 = 40
\]
**Graph Explanation:**
- There is a simple line diagram with points marked as \( R \), \( S \), and \( T \).
- \( R \) is on the leftmost end, followed by \( S \), and \( T \) on the right, showing a linear arrangement.
**Map Image:**
- The assignment also includes a small black and white map depicting a geographical region with labeled borders but no additional context or captions relevant to the geometry problem.
### Conclusion
Through these steps, you determined the measures of \( RS \) and \( ST \) as 20 and 40 units, respectively, given the constraints of the problem and the equation \( x =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6eb26ca5-ffa9-40db-8518-69eced0f70d6%2F3fa6b049-2074-4db2-b907-02815cf70b61%2Fgipzmhc.jpeg&w=3840&q=75)
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