A Sailboat's Sail Has Three Sides That Are All The Same Length. Each Side Measures X − 10 X - 10 X − 10 Units. The Sail's Perimeter Is 63 Units.What Is The Value Of X X X ?Enter Your Answer In The Box. X = X = X = { \square$}$

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Solving for the Value of x in a Sailboat's Sail

In this problem, we are given a sailboat's sail with three sides of equal length, each measuring x−10x - 10 units. The sail's perimeter is 63 units, and we need to find the value of xx. To solve this problem, we will use basic algebraic concepts and formulas.

The sailboat's sail has three sides of equal length, each measuring x−10x - 10 units. This means that the length of each side is the same, and we can represent it as x−10x - 10. The sail's perimeter is the total distance around the sail, which is given as 63 units.

Since the sail has three sides of equal length, we can represent the perimeter as the sum of the lengths of the three sides. We can write this as:

3(x−10)=633(x - 10) = 63

This equation represents the perimeter of the sail, which is equal to 63 units.

To solve for xx, we need to isolate the variable xx on one side of the equation. We can start by expanding the left-hand side of the equation:

3x−30=633x - 30 = 63

Next, we can add 30 to both sides of the equation to get:

3x=933x = 93

Now, we can divide both sides of the equation by 3 to solve for xx:

x=31x = 31

Therefore, the value of xx is 31.

In this problem, we were given a sailboat's sail with three sides of equal length, each measuring x−10x - 10 units. The sail's perimeter is 63 units, and we needed to find the value of xx. By using basic algebraic concepts and formulas, we were able to solve for xx and find its value.

This problem has real-world applications in various fields, such as engineering and architecture. When designing a sailboat's sail, it is essential to consider the perimeter and the length of each side to ensure that the sail is stable and efficient. By using algebraic concepts and formulas, engineers and architects can design sails that meet specific requirements and specifications.

When solving problems like this, it is essential to read the problem carefully and understand what is being asked. In this problem, we were given a sailboat's sail with three sides of equal length, and we needed to find the value of xx. By using basic algebraic concepts and formulas, we were able to solve for xx and find its value.

When solving problems like this, it is essential to avoid common mistakes. One common mistake is to forget to isolate the variable xx on one side of the equation. Another common mistake is to divide both sides of the equation by a number that is not a factor of the equation. By avoiding these common mistakes, we can ensure that we solve the problem correctly and find the value of xx.

For more information on algebraic concepts and formulas, we recommend checking out the following resources:

  • Khan Academy: Algebra
  • Mathway: Algebra Solver
  • Wolfram Alpha: Algebra Calculator

By using these resources, we can learn more about algebraic concepts and formulas and improve our problem-solving skills.

The final answer is: 31\boxed{31}
Solving for the Value of x in a Sailboat's Sail: Q&A

In our previous article, we solved for the value of x in a sailboat's sail with three sides of equal length, each measuring x - 10 units. The sail's perimeter is 63 units, and we found that the value of x is 31. In this article, we will answer some frequently asked questions related to this problem.

A: The perimeter of a sailboat's sail is the total distance around the sail. In this problem, the perimeter is given as 63 units.

A: To find the value of x in a sailboat's sail, you need to use the formula for the perimeter of a sailboat's sail, which is 3(x - 10) = 63. You can then solve for x by isolating the variable x on one side of the equation.

A: The length of each side of a sailboat's sail is x - 10 units. In this problem, we found that the value of x is 31, so the length of each side is 31 - 10 = 21 units.

A: To determine if the sailboat's sail is stable and efficient, you need to consider the perimeter and the length of each side. In this problem, we found that the perimeter is 63 units and the length of each side is 21 units. This means that the sailboat's sail is stable and efficient.

A: This problem has real-world applications in various fields, such as engineering and architecture. When designing a sailboat's sail, it is essential to consider the perimeter and the length of each side to ensure that the sail is stable and efficient.

A: Some common mistakes to avoid when solving this problem include forgetting to isolate the variable x on one side of the equation and dividing both sides of the equation by a number that is not a factor of the equation.

A: You can find more information on algebraic concepts and formulas at the following resources:

  • Khan Academy: Algebra
  • Mathway: Algebra Solver
  • Wolfram Alpha: Algebra Calculator

In this article, we answered some frequently asked questions related to the problem of solving for the value of x in a sailboat's sail. We hope that this article has been helpful in providing more information and clarification on this problem.

For more information on algebraic concepts and formulas, we recommend checking out the following resources:

  • Khan Academy: Algebra
  • Mathway: Algebra Solver
  • Wolfram Alpha: Algebra Calculator

By using these resources, we can learn more about algebraic concepts and formulas and improve our problem-solving skills.

The final answer is: 31\boxed{31}