Answer
1) Option D is correct.
x = 12
2) Option D is correct.
x = 5
3) Option C is correct.
x = 8
4) Option C is correct.
x = 6
6) Option A is correct.
x = -11
Step-by-step explanation
1) From the image, we can see that
GJ = GH + HI + IJ
3x - 7 = 9 + 12 + x - 4
3x - 7 = x + 17
3x - x = 17 + 7
2x = 24
Divide both sides by 2
(2x/2) = (24/2)
x = 12
2) From the image, we can see that
BE = BC + CD + DE
BE = 2x + 4
BC = BD - CD
BC = 12 - 5 = 7
CD = 5
DE = CE - CD
DE = 2 + x - 5
DE = x - 3
BE = BC + CD + DE
2x + 4 = 7 + 5 + x - 3
2x + 4 = x + 9
2x - x = 9 - 4
x = 5
3) From the image, we can see that
HE = HG + GF + FE
3x + 6 = 9 + 11 + x + 2
3x + 6 = x + 22
3x - x = 22 - 6
2x = 16
Divide both sides by 2
(2x/2) = (16/2)
x = 8
4) From the image, we can see that
EB = ED + DC + CB
3x + 7 = 2x - 2 + 6 + 9
3x + 7 = 2x + 13
3x - 2x = 13 - 7
x = 6
6) We can see that
JI = x + 14
IH = JH - JI = 5 - (x + 14) = 5 - x - 14 = -x - 9
HG = 2x + 32
IH = IG - HG = 12 - (2x + 32) = 12 - 2x - 32 = -2x - 20
IH = IH
-x - 9 = -2x - 20
-x + 2x = 9 - 20
x = -11
Hope this Helps!!!