Question

what is the missing length in the scaled copy? units original scaled copy

Explanation:

Step1: Find the scale factor

The scale factor \(k\) is found by comparing the corresponding sides of the original and scaled - copy. For the known sides, the original side is \(90\) and the scaled - copy side is \(30\). So, \(k=\frac{30}{90}=\frac{1}{3}\).

Step2: Calculate the missing length

Let the missing length be \(x\). The corresponding side in the original is \(45\). Using the scale factor formula \(x = 45\times k\). Substitute \(k=\frac{1}{3}\) into the formula: \(x = 45\times\frac{1}{3}=15\).

Answer:

\(15\)