Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![### Mathematics Worksheet
#### Problem 8:
**Question:**
Use the diagram of circle H to find JK if DG = 24 and FH = HK.
**Diagram:**
The diagram represents a circle labeled H (the center of the circle). Points D, F, G, J, K, and L are located around the circle. Line segments DG, JK, and FH=HK are drawn within the circle.
**Given:**
- DG = 24
- FH = HK
**Find:**
- JK = ______
#### Problem 9:
**Question:**
Find the arc length of the sector if the radius of the circle is 10 and the central angle is 72°. Show work.
**Given:**
- Radius (r) = 10
- Central angle (θ) = 72°
**Solution:**
To find the arc length (L), use the formula:
\[ L = \frac{\theta}{360^\circ} \times 2\pi r \]
Where:
- \( \theta \) = Central angle
- \( r \) = Radius of the circle
#### Problem 10:
**Question:**
Solve for x. Show work.
---
### Detailed Diagram Explanation for Problem 8
In the provided diagram, a circle H is depicted with several interior line segments and points:
1. **Circle H**: The circle with center H.
2. **Points**: D, F, G, J, K, and L are marked on the perimeter and inside the circle.
3. **Line Segments**:
- DG: A chord passing through the circle with a given length of 24.
- FH and HK: Both line segments are equal, denoted FH=HK.
- JK: The line segment whose length is to be determined.
Students are required to apply their understanding of the properties and theorems related to circles and line segments to find the unknown length JK.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6756c5c2-608f-4015-b13f-deb910f8c3e1%2Fc1a10e59-c4a7-4e75-a76e-008428a1080a%2Fmg1lltq_processed.jpeg&w=3840&q=75)
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