Question

Geometry question?

Thanks to anyone who answers

Answer 1

`x = 75`

Explanation:

The diagram shows proportional triangles, indicated by the parallel FS and DY lines. Thus, the ratios of the sides are equal.

`50/42 = (x + 50)/(63 + 42)`

`(25/21) xx 105 = (x + 50)`

`x = (25/21) xx 105 - 50`

`x = 75`

Answer 2

`x=75` units

Explanation:

Given that `FS` // `DY`,
`=> DeltaFSJ and DeltaDYJ` are similar.
In two similar triangles, the ratios of the lengths of their corresponding sides are equal,
`=> (FJ)/(SJ)=(DJ)/(YJ)`,
`=> (x+50)/(63+42)=(50)/(42)`
`=> x+50=105xx(50)/(42)=125`
`=> x=75` units