Question

What is the value of x? Enter your answer, as a decimal, in the box.

Answer 1

• 
  `\tt x=54.6`

Explanation:

By applying Similarity rule:-

`\tt 80.5-35`

`\tt 45.5`

`\tt \cfrac{x}{96.6} =\cfrac{45.5}{80.5}`

We can multiply both sides by 96.6:-

`\tt \cfrac{96.6x}{96.6}=\cfrac{45.5* \:96.6}{80.5}`

`\tt \cfrac{96.6x}{96.6}=\cfrac{4395.3}{80.5}`

Now, multiply both sides by 9331.56:-

`\tt \cfrac{9331.56*\:96.6x}{96.6}=\cfrac{4395.3*\:9331.56}{80.5}`

Simplify:-

`\tt 9331.56x=509503.176`

Divide both sides by 9331.56:-

`\tt \cfrac{9331.56x}{9331.56}=\cfrac{509503.176}{9331.56}`

Simplify:-

`\tt x=54.6`

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Hope this helps!

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