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.
![**Geometry Multiple Choice Question**
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### Question 1
24
○ 24
○ 48
● 48
○ 60
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### Question 2
**Diagram Interpretation and Angle Calculation**
9. In the diagram below of circle O, PAC and PBD are secants. If arc CD = 70 and arc AB = 20, what is the degree measure of ∠ P?
![Circle Geometry Diagram]
- The diagram consists of a circle, labeled as circle O.
- Two secants, PAC and PBD, intersect at point P outside the circle.
- The arcs CD and AB are connected by these secants. Arc CD = 70 degrees and Arc AB = 20 degrees.
- We are required to find the degree measure of ∠P.
**Choices:**
○ 25
○ 35
● 45
○ 50
**Explanation:**
To find the measure of ∠P, we use the formula for the angle formed by two secants intersecting outside a circle:
\[ \text{m}∠P = \frac{1}{2} (\text{m(Arc CD)} - \text{m(Arc AB)}) \]
\[ \text{m}∠P = \frac{1}{2} (70 - 20) \]
\[ \text{m}∠P = \frac{1}{2} (50) \]
\[ \text{m}∠P = 25 \]
Therefore, the degree measure of ∠P is 25 degrees.
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