Question

Given lines l, m,and n are parallel and cut by two transversal lines, find the value of

X. Round your answer to the nearest tenth if necessary

Answer 1

18.75 units

Explanation:

The segments between
`l` and
`m` and between
`m` and
`n` are proportional. Therefore, we can say the following:

`(24)/(32) =(x)/(25)`

Now, if we multiply both sides of the equation by 25 we can find
`x`:

`(24)/(32) =(x)/(25)\\\\25((24)/(32))=x\\\\(75)/(4)=x\\\\ 18.75=x`

Therefore,
`x` equals 18.75. This is reasonable, as it looks to be a little shorter than the line segment marked as 24 units in length.