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3241004551 [841]
3 years ago
7

Please help me with this question

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

9514 1404 393

Answer:

  x = 7 1/3

Step-by-step 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.

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Ana: \dfrac{1}{10}\ \text{job per hour}\\\\Nina: \dfrac{1}{x}\ \text{job per hour}\\\\Together: \dfrac{1}{3}\ \text{job per hour}\\\\\\Ana + Nina = Together\\\dfrac{1}{10}\quad +\dfrac{1}{x}\quad =\quad \dfrac{1}{3}\\\\\\\dfrac{1}{10}(30x)+\dfrac{1}{x}(30x) =\dfrac{1}{3}(30x)\\\\\\\rightarrow\quad 3x+30=10x\\\\.\quad 3x+30=10x\\\underline{-3x\qquad \quad -3x\quad}\\.\qquad \quad 30=7x\\\\.\qquad \quad \dfrac{30}{7}=\dfrac{7x}{7}\\\\\\.\qquad \quad \dfrac{30}{7}=x

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