Question

Need some help!
help giving 10 points ​

Answer 1

The remaining lenghts are
`x = 20.364\,cm` and
`y = 12.925\,cm`.

Explanation:

Given that there are two triangles opposite to each other and between two parallel lines, then both are similar, meaning than following relationships exist:

`(AC)/(CD) = (BC)/(CE) = (AB)/(DE)` (1)

If we know that
`AC = 11\,cm`,
`CD = 28\,cm`,
`BC = 8\,cm` and
`DE = 32.9\,cm`, then the missing lengths are, respectively:

`(11\,cm)/(28\,cm) = (8\,cm)/(x)`

`x = ((28\,cm)\cdot (8\,cm))/(11\,cm)`

`x = 20.364\,cm`

`(11\,cm)/(28\,cm) = (y)/(32.9\,cm)`

`y = ((11\,cm)\cdot (32.9\,cm))/(28\,cm)`

`y = 12.925\,cm`

The remaining lenghts are
`x = 20.364\,cm` and
`y = 12.925\,cm`.