Answer:x = 5Step-by-step explanation:I already answer this on another question you actually made, but here it is again:To do this, you need to use the Thales theorem.You can actually apply this theorem and choose two sides of the figure to do it.In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:LM/MN = DE/EFThis theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FNTherefore, it's time to replace the values of those segments and solve for X:LM/MN = DE/EF14/16 = 6x -9 / 4x + 47/8 = 6x - 9 / 4x + 47(4x+4) = 8(6x-9)28x + 28 = 48x - 7272 + 28 = 48x - 28x100 = 20xx = 100/20x = 5Read more on Brainly.com -