Question

1. the pair of figures is similar. find x. round to the nearest tenth if necessary. 34 cm 21.9 cm 9.8 cm 29.6 cm

Explanation:

Step1: Set up the proportion

Since the figures are similar, the ratios of corresponding sides are equal. So, \(\frac{23}{40}=\frac{x}{17}\).

Step2: Solve for \(x\)

Cross - multiply: \(40x = 23\times17\).
First, calculate \(23\times17 = 391\).
Then, \(x=\frac{391}{40}=9.775\approx9.8\) (rounded to the nearest tenth).

Answer:

9.8 cm