Question

Help!!!!!!!!!!!!!!!!!!!!

Answer 1

well... the segment FG = 4x + 3, the segment GH = 7x - 12, now, the

segment FH = FG + GH, those two fellows added up, and we know that FG and GH are both equal halves because G is the midpoint.

thus, FG = GH
or


`\bf 4x+3=7x-12\implies 3+12=7x-4x\implies 15=3x \\\\\\ \cfrac{15}{3}=x\implies \boxed{5=x}\\\\ -------------------------------\\\\ thus\qquad \begin{cases} \overline{FG}=4x+3\\ 4(5)+3\\ 23\\ ------\\ \overline{GH}=7x-12\\ 7(5)-12\\ 23 \end{cases}\impliedby equal\ halves \\\\\\ \overline{FH}=23+23\implies \overline{FH}=46\implies 6y-2=46 \\\\\\ 6y=46+2\implies y=\cfrac{48}{6}`

and fairly sure, you know how much that is.