Question

I need the answer to this please

Answer 1

Answer: x = 10

Explanation:

Since L is the midpoint of HK (because HL ≅ KL)

and M is the midpoint of IJ (because IM ≅ JM)

then LM is the "average" of the bases HI and KJ.

`(HI+KJ)/(2)=LM\\\\\\((4x-3)+(x+11))/(2)=3x-1\\\\\\4x -3 + x + 11 = 2(3x-1)\quad \rightarrow \quad \text{multiplied both sides by 2}\\\\5x+8=6x-2\quad \rightarrow \quad \text{added like terms and distributed right side}\\\\.\qquad 8=x-2\quad \rightarrow \quad \text{subtracted 5x from both sides}\\\\.\qquad 10=x\quad \rightarrow \quad \text{added 2 to both sides}`