The figures are similar. Find the missing length. Round to the nearest thousandth

The missing x = 0.675 m

Step-by-step explanation:

In similar triangles, the corresponding sides are proportion (means their ratios are equal)

In the given figure

∵ The two triangles are similar

∴ Their corresponding sides are proportion

∵ The sides of lengths 1.8 m and x are corresponding sides

∵ The sides of lengths 8.0 m and 3.0 are corresponding sides

∴ =

→ By using cross multiplication

∴ x × 8.0 = 1.8 × 3.0

∴ 8x = 5.4

→ Divide both sides by 8

∵ =

∴ x = 0.675

→ No rounding because there is no digit after the thousandth digit

∴ x = 0.675 m

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step-by-step explanation: