Which of the following is a common use of algebra in engineering technology?

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In engineering technology, algebra is fundamental for solving equations that relate various variables within a system or problem. When engineers encounter real-world situations, they often need to determine unknown values based on known quantities. This involves creating algebraic equations that express these relationships.

For instance, in electrical engineering, one might use algebra to calculate the current flowing through a circuit based on voltage and resistance, adhering to Ohm's Law (V = IR). By rearranging this formula to solve for the unknown current (I), engineers leverage algebraic techniques to analyze and design systems effectively.

In contrast, while performing statistical analysis, understanding geometric shapes, and calculating probabilities are all important in their own right, they do not primarily rely on algebraic manipulation of equations in the same direct manner as solving for unknowns. The nature of those tasks may involve other mathematical concepts and methods, such as statistics or geometry, rather than the straightforward application of algebraic principles to find unknown values.

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