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To find the value of x, we first need to remember that for any regular polygon, the measure of each exterior angle can be calculated using the formula: Exterior Angle = 360° / n where n is the number of sides of the polygon. In our case, since we are dealing with a regular decagon, … Read more

To find the coordinates of the point that is equidistant from points A (2, 3) and C (5, 6), we can utilize the geometric concept of the midpoint of the line segment connecting these two points. The coordinates of the midpoint (M) can be calculated using the following formula: M = ((x1 + x2) / … Read more

To solve the system of equations 2x + 5y = 3 and x + 3y = 1, we can use either the substitution method or the elimination method. Here, we’ll use the elimination method for clarity. Step 1: Align the equations We start with the given equations: Equation 1: 2x + 5y = 3 Equation … Read more

To find the radius of the circle represented by the equation x² + y² – 8x – 6y – 21 = 0, we first need to rewrite this equation in standard form. The standard form of a circle’s equation is: (x – h)² + (y – k)² = r² where (h, k) is the center … Read more

Understanding Number Names in Different Numbering Systems When you come across the numbers 236749 and 48670002, it’s interesting to see how they are represented in both the Indian and international numbering systems. 1. Number: 236749 Indian Numbering System: Two Lakh Thirty Six Thousand Seven Hundred Forty Nine International Numbering System: Two Hundred Thirty Six Thousand … Read more

Converting a mixed number into an improper fraction is a straightforward process, and once you understand the steps, you’ll find it easy to do! A mixed number consists of a whole number and a proper fraction. For example, in the mixed number 2 1/3, the whole number is 2, and the proper fraction is 1/3. … Read more

To find the coefficient of x in the division of the polynomial expression, we first need to clarify the operation. It appears that you are interested in dividing the polynomial expression 18×3 by the polynomial 12×2 + 3x + 6×2. 1. **Combine like terms** in the denominator: 12×2 and 6×2 combine to give 18×2. So … Read more

To calculate the percentage increase from 60 to 75, you can use the following formula: Percentage Increase = ((New Value – Old Value) / Old Value) × 100 In this case, the old value is 60 and the new value is 75. Plugging these numbers into the formula gives us: Percentage Increase = ((75 – … Read more

Let’s break down the scenario: a man who is 6 feet tall is walking away from a light located 15 feet high above the ground at a speed of 5 feet per second. To understand the relationship between the distance he walks and the light’s height, we can use some basic geometry and trigonometry. 1. … Read more