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Yuki888 [10]
3 years ago
15

PLEASE HELP,, MARKING BRAINLIEST!!! Solve for x

Mathematics
1 answer:
Trava [24]3 years ago
4 0

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The marked sides are proportional, so we have ...

  x/8 = (x +5)/12

  3x = 2(x +5) . . . . . multiply by 24 to clear fractions

  3x = 2x + 10 . . . . . eliminate parentheses

  x = 10 . . . . . . . . . . subtract 2x

_____

<em>Alternate solution</em>

We observe that the difference between the upper segment lengths is ...

  (x +5) -(x) = 5

and the difference between the lower segment lengths is ...

  12 -8 = 4

This means the upper segment lengths are 5/4 times as long as the lower segments. Then ...

  x = (5/4)(8) = 10

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