Thank you for visiting The isosceles triangle has a perimeter of 7 5 m Which equation can be used to find the value of tex x tex if the. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve this problem, we need to determine which equation can be used to find the value of [tex]\( x \)[/tex] in an isosceles triangle given:
- The perimeter of the triangle is 7.5 meters.
- The shortest side [tex]\( y \)[/tex] is 2.1 meters.
In an isosceles triangle, two sides are of equal length, and the third side is different. For this problem, we'll assume the third side is the shortest side, [tex]\( y = 2.1 \)[/tex] meters.
Given these values, the perimeter of the triangle is calculated as:
[tex]\[ \text{Perimeter} = \text{side}_1 + \text{side}_2 + \text{side}_3 \][/tex]
Since two sides are equal in an isosceles triangle, we can say:
[tex]\[ \text{Perimeter} = 2x + y \][/tex]
We know:
- The perimeter is 7.5 meters.
- [tex]\( y = 2.1 \)[/tex] meters.
Plug these values into the equation:
[tex]\[ 7.5 = 2x + 2.1 \][/tex]
We need to isolate [tex]\( x \)[/tex] to find the correct equation:
1. Start by setting up the equation for the perimeter:
[tex]\[ 7.5 = 2x + 2.1 \][/tex]
2. Subtract 2.1 from both sides to isolate the terms involving [tex]\( x \)[/tex]:
[tex]\[ 7.5 - 2.1 = 2x \][/tex]
3. Simplify the left side:
[tex]\[ 5.4 = 2x \][/tex]
4. This equation can be rewritten as:
[tex]\[ 2x - 5.4 = 0 \][/tex]
Based on the given options, the equation [tex]\( 2x - 7.5 = 0 \)[/tex] with sides [tex]\( 2.1 + 2x = 7.5 \)[/tex] simplifies correctly to [tex]\( 2x - 5.4 = 0 \)[/tex], which effectively describes finding [tex]\( x \)[/tex] in the isosceles triangle.
Thus, the correct option indicating how to find [tex]\( x \)[/tex] is related to these simplified values, which was:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
- The perimeter of the triangle is 7.5 meters.
- The shortest side [tex]\( y \)[/tex] is 2.1 meters.
In an isosceles triangle, two sides are of equal length, and the third side is different. For this problem, we'll assume the third side is the shortest side, [tex]\( y = 2.1 \)[/tex] meters.
Given these values, the perimeter of the triangle is calculated as:
[tex]\[ \text{Perimeter} = \text{side}_1 + \text{side}_2 + \text{side}_3 \][/tex]
Since two sides are equal in an isosceles triangle, we can say:
[tex]\[ \text{Perimeter} = 2x + y \][/tex]
We know:
- The perimeter is 7.5 meters.
- [tex]\( y = 2.1 \)[/tex] meters.
Plug these values into the equation:
[tex]\[ 7.5 = 2x + 2.1 \][/tex]
We need to isolate [tex]\( x \)[/tex] to find the correct equation:
1. Start by setting up the equation for the perimeter:
[tex]\[ 7.5 = 2x + 2.1 \][/tex]
2. Subtract 2.1 from both sides to isolate the terms involving [tex]\( x \)[/tex]:
[tex]\[ 7.5 - 2.1 = 2x \][/tex]
3. Simplify the left side:
[tex]\[ 5.4 = 2x \][/tex]
4. This equation can be rewritten as:
[tex]\[ 2x - 5.4 = 0 \][/tex]
Based on the given options, the equation [tex]\( 2x - 7.5 = 0 \)[/tex] with sides [tex]\( 2.1 + 2x = 7.5 \)[/tex] simplifies correctly to [tex]\( 2x - 5.4 = 0 \)[/tex], which effectively describes finding [tex]\( x \)[/tex] in the isosceles triangle.
Thus, the correct option indicating how to find [tex]\( x \)[/tex] is related to these simplified values, which was:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Thank you for reading the article The isosceles triangle has a perimeter of 7 5 m Which equation can be used to find the value of tex x tex if the. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
