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912x - 4JG -НІ3х - 7

User Nad
by
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1 Answer

1 vote

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!!!

User Pumpkin
by
8.4k points

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