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Answer :
To find the value of [tex]\( x \)[/tex] for the isosceles triangle with a perimeter of 7.5 meters and a shortest side measure of 2.1 meters, we need to set up an equation for the perimeter.
An isosceles triangle typically has two sides that are equal in length and a base which is the shortest side, in this case, [tex]\( y = 2.1 \)[/tex] meters.
The perimeter of the triangle is calculated as the sum of all its sides:
[tex]\[ \text{Perimeter} = x + x + y = 7.5 \][/tex]
Given that the shortest side [tex]\( y \)[/tex] is 2.1 meters, substitute this value into the equation:
[tex]\[ x + x + 2.1 = 7.5 \][/tex]
This simplifies to:
[tex]\[ 2x + 2.1 = 7.5 \][/tex]
Now, we have an equation that can be used to find [tex]\( x \)[/tex]. Based on the given options, the correct equation that represents this situation is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Therefore, using this equation, you can proceed to solve for [tex]\( x \)[/tex] if needed, but the correct form of the equation has been identified.
An isosceles triangle typically has two sides that are equal in length and a base which is the shortest side, in this case, [tex]\( y = 2.1 \)[/tex] meters.
The perimeter of the triangle is calculated as the sum of all its sides:
[tex]\[ \text{Perimeter} = x + x + y = 7.5 \][/tex]
Given that the shortest side [tex]\( y \)[/tex] is 2.1 meters, substitute this value into the equation:
[tex]\[ x + x + 2.1 = 7.5 \][/tex]
This simplifies to:
[tex]\[ 2x + 2.1 = 7.5 \][/tex]
Now, we have an equation that can be used to find [tex]\( x \)[/tex]. Based on the given options, the correct equation that represents this situation is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
Therefore, using this equation, you can proceed to solve for [tex]\( x \)[/tex] if needed, but the correct form of the equation has been identified.
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