Question

HELP ME PLEASE!!

i need to find the j and k values and if you could explain that would be amazing!! Please and thank youu!! :))

Answer 1

`j = (9)/(2) = 4,5 \\\\\\k = 2`

Explanation:

I am working on the assumption that the figure shown is a parallelogram, otherwise my answer will not be valid

The diagonals of a parallelogram bisect each other

In the above figure, the top left-bottom right diagonal is bisected by the top right - bottom-left diagonal

This means

`3j = 5j - 9`

Subtract 5j from both sides:

`3j - 5j = -9`

`-2j = -9`

`j = (-9)/(-2) = (9)/(2) = 4,5 \\`
I am not sure if you want it in fraction or decimal

Similarly

`k + 10 = 6k\\\\`

Subtract k from both sides:

`10 = 6k-k\\\\\\10 = 5k\\\\\\\textrm{Switching sides,}\\5k = 10\\\\k = (10)/(5) = 2\\\\`