Question

Solve for [x]. The polygons in each
2x-20
16
16
8

Answer 1

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\qquad \tt \rightarrow \:x = 16`

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`\large \tt Solution \: :`

If two polygons are similar, their corresponding sides ratios will be equal to each other.

`\qquad \tt \rightarrow \: \cfrac{8}{16} = \cfrac{2x - 20}{24}`

`\qquad \tt \rightarrow \: \cfrac{1}{2} = \cfrac{2x - 20}{24}`

`\qquad \tt \rightarrow \: 2x - 20 = \cfrac{24}{2}`

`\qquad \tt \rightarrow \: 2x = 12 + 20`

`\qquad \tt \rightarrow \: 2x = 32`

`\qquad \tt \rightarrow \: x = 16`

Answered by : ❝ AǫᴜᴀWɪᴢ ❞