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.
![### Understanding Interior and Exterior Angles in Triangles
Given a triangle, ΔCOE:
- Let the measure of angle C (m∠C) be expressed as (3x+2) degrees.
- Let the measure of the exterior angle D (m∠D) be expressed as (6x+18) degrees.
- Let the measure of angle E (m∠E) be expressed as (2x+16) degrees.
**Problem: Find m∠D**
To solve for m∠D, we use the property of exterior angles in a triangle, which states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.
Mathematically, this can be set up as:
\[ m∠D = m∠C + m∠E \]
Substitute the given expressions for the angles:
\[ 6x + 18 = (3x + 2) + (2x + 16) \]
Now, simplify and solve for x:
\[ 6x + 18 = 3x + 2 + 2x + 16 \]
\[ 6x + 18 = 5x + 18 \]
\[ 6x - 5x = 18 - 18 \]
\[ x = 0 \]
Next, substitute x back into the expressions to find each angle's measure:
- For m∠C: \( 3(0) + 2 = 2 \) degrees
- For m∠E: \( 2(0) + 16 = 16 \) degrees
- Verify m∠D: \( 6(0) + 18 = 18 \) degrees
Thus, the measure of angle D (m∠D) is **18 degrees**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90b09e42-7c9f-478b-83f0-998cebfd2878%2F113fde66-11bb-4542-a92b-e81e3957ab8a%2Foxbtq4f_processed.jpeg&w=3840&q=75)
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