Question

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2

Answer 1

The length of x in decimal form to the nearest hundredth is 14.82 in.

Explanation:

Assuming the triangles are similar, their corresponding sides are in the same ratio. Therefore, x : 23.4 = 11.4 : 18.

To find the length of x, solve the ratio:

`\implies x : 23.4 = 11.4 : 18`

`\implies (x)/(23.4)=(11.4)/(18)`

`\implies 23.4 \cdot (x)/(23.4)=23.4 \cdot (11.4)/(18)`

`\implies x=23.4 \cdot (11.4)/(18)`

`\implies x=(266.76)/(18)`

`\implies x=14.82\; \sf in`

Therefore, the length of x in decimal form to the nearest hundredth is 14.82 in.