Question

which of the equations solves to find x?
\\( \frac { 10 } { 6 } = \frac { x } { 25 } \\)
\\( \frac { 6 } { 10 } = \frac { x } { 25 } \\)
\\( \frac { 6 } { 10 } = \frac { 25 } { x } \\)

Explanation:

Step1: Use the property of similar triangles

Since the two triangles are similar, the ratios of their corresponding sides are equal.
For the left - hand side triangle with sides \(6\) and \(10\), and the right - hand side triangle with sides \(x\) and \(25\).
The ratio of the shorter sides to the longer sides should be the same. So we have \(\frac{6}{10}=\frac{x}{25}\)

Answer:

The equation \(\frac{6}{10}=\frac{x}{25}\) solves to find \(x\)