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.
![### Educational Content: Solving for \( z \) in a Geometric Diagram
**Problem Statement:**
What is the value of \( z \)?
**Diagram Explanation:**
The diagram features a triangle \( \triangle MJK \), with a smaller right triangle \( \triangle JBK \) inside it. The key elements of the diagram are:
- **Vertices**: The vertices of the triangle are labeled as \( J \), \( B \), \( K \), and \( M \).
- **Sides**:
- \( MJ = 3z - 20 \)
- \( MK = 4z \)
- **Triangle \( \triangle JBK \)**: There is a right angle at point \( B \).
**Objective:**
Using the given expressions for the sides \( MJ \) and \( MK \), find the value of \( z \).
**Solution Approach:**
1. **Identify Right Triangles**: Use the relationships of sides in right triangles and the properties shared by angles.
2. **Apply Geometric or Arithmetic Techniques**: Depending on additional information or assumptions (e.g., \( MJK \) being an isosceles triangle), you might use the properties such as the Pythagorean theorem or algebraic equations to solve for \( z \).
**Input Box:**
The equation to find \( z \) is expressed as:
\[ z = [\text{Enter calculated value}] \]
Students should calculate \( z \) using the expressions given for the sides and input the value in the box provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ac53539-56b0-4674-a388-2c7dbe7363c4%2F14827399-f6e3-4ebc-8a42-751c36507d40%2Fia8gknq_processed.png&w=3840&q=75)
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