Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
![## Problem 13: Find the Value of \( x \)
### Diagram Description:
The diagram provided is an irregular polygon with eight sides. Each interior angle is labeled with its measure in degrees. The angles provided in the diagram from one side to the other in clockwise order are as follows:
- 136°
- 124°
- 141°
- 158°
- 116°
- \( x \)° (unknown angle to be found)
- 129°
- 132°
### Explanation:
To find the value of \( x \), you need to use the formula for the sum of interior angles of a polygon. The sum of the interior angles \( S \) of a polygon with \( n \) sides is given by the formula:
\[ S = 180° \cdot (n - 2) \]
For our octagon (a polygon with 8 sides):
\[ S = 180° \cdot (8 - 2) \]
\[ S = 180° \cdot 6 \]
\[ S = 1080° \]
Now, sum the given angles and set that sum plus the unknown angle \( x \) equal to 1080°:
\[ 136° + 124° + 141° + 158° + 116° + 129° + 132° + x = 1080° \]
Adding the known angle measures:
\[ 136 + 124 + 141 + 158 + 116 + 129 + 132 = 936 \]
Now substitute and solve for \( x \):
\[ 936° + x = 1080° \]
\[ x = 1080° - 936° \]
\[ x = 144° \]
Therefore, the value of \( x \) is \( 144° \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32dd14b8-b2bd-44f5-a3e5-80254b1ec7f4%2F052b75a7-60ca-4849-a70b-5b7198ea1485%2F64wf9f_processed.jpeg&w=3840&q=75)
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