dmdalton071 dmdalton071
  • 10-04-2022
  • Mathematics
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Solve for x. Please help and please show work, thanks!

Solve for x Please help and please show work thanks class=

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Heather
Heather Heather
  • 10-04-2022

Answer: 5

Step-by-step explanation:

      We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).

[tex]\frac{10}{10+12} =\frac{4x-5}{33}[/tex]

[tex]\frac{10}{22} =\frac{4x-5}{33}[/tex]

      Now I am going to cross multiply:

10 * 33 = 22(4x - 5)

330 = 88x - 110

440 = 88x

5  = x

x = 5

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