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Answer :
Sure, let's solve the problem step-by-step.
We are given:
- An isosceles triangle with a perimeter of 7.5 meters.
- The shortest side of the triangle, [tex]\( y \)[/tex], measures 2.1 meters.
In an isosceles triangle, the two longer sides are equal. Let's denote the length of each of these sides by [tex]\( x \)[/tex].
Since we know the perimeter of the triangle is the sum of all its sides, we can write the following equation:
[tex]\[ y + x + x = 7.5 \][/tex]
Given [tex]\( y = 2.1 \)[/tex], we substitute it into the equation:
[tex]\[ 2.1 + x + x = 7.5 \][/tex]
This simplifies to:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Looking at the given options:
1. [tex]\( 2x - 2.1 = 7.5 \)[/tex]
2. [tex]\( 4.2 + y = 7.5 \)[/tex]
3. [tex]\( y - 4.2 = 7.5 \)[/tex]
4. [tex]\( 2.1 + 2x = 7.5 \)[/tex]
We see that the correct equation that matches our simplified equation is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Thus, the answer is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
We are given:
- An isosceles triangle with a perimeter of 7.5 meters.
- The shortest side of the triangle, [tex]\( y \)[/tex], measures 2.1 meters.
In an isosceles triangle, the two longer sides are equal. Let's denote the length of each of these sides by [tex]\( x \)[/tex].
Since we know the perimeter of the triangle is the sum of all its sides, we can write the following equation:
[tex]\[ y + x + x = 7.5 \][/tex]
Given [tex]\( y = 2.1 \)[/tex], we substitute it into the equation:
[tex]\[ 2.1 + x + x = 7.5 \][/tex]
This simplifies to:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Looking at the given options:
1. [tex]\( 2x - 2.1 = 7.5 \)[/tex]
2. [tex]\( 4.2 + y = 7.5 \)[/tex]
3. [tex]\( y - 4.2 = 7.5 \)[/tex]
4. [tex]\( 2.1 + 2x = 7.5 \)[/tex]
We see that the correct equation that matches our simplified equation is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Thus, the answer is:
[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!
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Rewritten by : Jeany
