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.
![### Solve for \( x \)
The diagram presented is a circle with two line segments intersecting inside it.
#### Diagram Description:
- The circle contains two intersecting chords.
- The first chord is divided into two segments by the intersection point, with one segment measuring 9 units, and the other, labeled as \( x \), is unknown.
- The second chord is similarly divided into two segments, with one segment measuring 9 units and the other segment measuring 27 units.
#### Solution Explanation:
To solve for \( x \), we use the Intersecting Chords Theorem, which states that if two chords intersect inside a circle, the products of the lengths of their segments are equal.
Mathematically, the theorem can be expressed as:
\[ (segment_1 \times segment_2)_{chord1} = (segment_1 \times segment_2)_{chord2} \]
From the diagram:
- For the first chord, the segments are 9 and \( x \).
- For the second chord, the segments are 9 and 27.
Applying the theorem:
\[ 9 \times x = 9 \times 27 \]
Simplifying the equation:
\[ x = 27 \]
Thus, \( x \) is 27 units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccc6c07f-901f-4b9b-9990-bf05e0ed87d5%2Fa67e167e-5ffd-415d-8101-a8116ac4aa73%2Fl01nb5m_processed.png&w=3840&q=75)
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