Question

Question #55843

Answer 1

`j` is parallel to `k` if (and only if) `x=9`

Explanation:

For the lines to be parallel (assuming Euclidean space) corresponding angles must be equal.

`45^@ = (6x-9)^@`

`6x-9=45`

`6x=54color(white)("XXX")`(after adding `9` to both sides)

`x=9color(white)("XXXX")`(after dividing both sides by `6`)