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lord [1]
2 years ago
9

The perimeter of an equilateral triangle is 83 inches. If the length of each side is (2x -3), find the value of x.

Mathematics
1 answer:
Minchanka [31]2 years ago
6 0

Answer:

x = 15 \frac{1}{3}

Step-by-step explanation:

Equilateral triangles have 3 equal sides.

Thus, perimeter of triangle

= 3(2x -3)

= 3(2x) +3(-3) <em>(</em><em>expand</em><em>)</em>

= (6x -9) inches

Given that the perimeter is 83 inches,

6x -9= 83

6x= 83 +9 <em>(</em><em>+</em><em>9</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

6x= 92

x = 15 \frac{1}{3}

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<h3>What is a fraction?</h3>

Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.

<h3>Calculation:</h3>

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Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.

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Since it is given that the result is 0.4 i.e., 4/10, we can write

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