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san4es73 [151]
2 years ago
8

Solve for x Please help me with this

Mathematics
2 answers:
Maru [420]2 years ago
7 0

Answer:

hope this helps you look it once.

AfilCa [17]2 years ago
6 0

Answer:

x = 16, x = 17

Step-by-step explanation:

Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is

\frac{x+8}{20} = \frac{2x-5}{22.5} ( cross- multiply )

20(2x - 5) = 22.5(x + 8)

40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )

17.5x - 100 = 180 ( add 100 to both sides )

17.5x = 280 ( divide both sides by 17.5 )

x = 16

----------------------------------------------------------------

\frac{2x+8}{28} = \frac{5x-4}{82-28} = \frac{5x-4}{54} ( cross- multiply )

28(5x - 4) = 54(2x + 8)

140x - 112 = 108x + 432 ( subtract 108x from both sides )

32x - 112 = 432 ( add 112 to both sides )

32x = 544 ( divide both sides by 32 )

x = 17

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