Question

Solve for x
Please help me with this

Answer 1

x = 16, x = 17

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

`(x+8)/(20)` =
`(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

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`(2x+8)/(28)` =
`(5x-4)/(82-28)` =
`(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

Answer 2

hope this helps you look it once.