Question

Find X and if it's a decimal round to the nearest tenth. 50 points

Answer 1

x = 40

Explanation:

given a line DE parallel to a side AC of the triangle and intersecting the other two sides, it intersects those sides proportionally , that is

`(CE)/(BE)` =
`(AD)/(BD)` ( substitute values )

`(25)/(x-25)` =
`(15)/(24-15)`

`(25)/(x-25)` =
`(15)/(9)` ( cross- multiply )

15(x - 25) = 9 × 25 = 225 ( divide both sides by 15 )

x - 25 = 15 ( add 25 to both sides )

x = 40