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.**
This image consists of a circle with two intersecting chords. One of the chords is extended outside the circle and is divided into segments of lengths 3 and 2. The portion of the chord inside the circle is labeled \( x \). The other chord inside the circle is labeled with a length of 19.
Graph Explanation:
1. **Circle:** The image contains a circle with two intersecting chords.
2. **Chords:**
- The first chord extends outside the circle and is segmented into two parts:
- One part outside is labeled as 3.
- The adjacent part outside is labeled as 2.
- The section of this chord inside the circle is labeled as \( x \).
- The second chord that runs only inside the circle is labeled as 19.
By the Power of a Point theorem (also known as the Secant-Secant Theorem or the Intersecting Secants Theorem), the following relationship holds true for the intersecting chords:
\[
\text{(external segment)} \times (\text{whole length of chord}) = (\text{length of internal segment}) \times (\text{length of the other internal segment})
\]
In this case, the equation can be set up as:
\[
(3 + 2) \times 3 = 19 \times x
\]
Simplifying this equation:
\[
5 \times 3 = 19x
\]
\[
15 = 19x
\]
\[
x = \frac{15}{19}
\]
Therefore, the value of \( x \) is \(\frac{15}{19}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccc6c07f-901f-4b9b-9990-bf05e0ed87d5%2Fcf6acbd8-f639-427a-b469-f0b6a07a99fb%2Frnc0hb_processed.png&w=3840&q=75)
Step by step
Solved in 2 steps with 2 images
