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Please help me with this question

Please help me with this question-example-1
User Diwyansh
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9514 1404 393

Answer:

x = 7 1/3

Explanation:

The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...

(x -2) = (2/3)(8)

3(x -2) = 16 . . . . . multiply by 3 to clear fractions

3x -6 = 16 . . . . . . eliminate parentheses

3x = 22 . . . . . . . . add 6; next divide by 3*

x = 22/3 = 7 1/3 . . . . . feet

_____

* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.

User Anton Danylov
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