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The answers to the geometry questions attached are :

  • UV = 67
  • x = 67
  • BD = 88
  • BC = 26
  • CD = 61

5.)

UW = 6x - 35

UW = UV + VW (total length of a line segment)

UV = 19

VW = 4x - 20

6x - 35 = 19 + 4x - 20

6x - 4x = 19 - 20 + 35

2x = 34

x = 34 / 2

x = 17

UW = 6x - 35 = 6(17) - 35 = 67

6.)

HJ = 7x - 27

HJ = HI + IJ (total length of a line segment)

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = - 5 - 1 + 27

3x = 21

x = 21 /3

x = 7

7.)

BD = 7x - 10

BC = 4x - 29

CD = 5x - 9

BD = BC + CD (total length of a line segment)

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = - 29 - 9 + 10

-2x = - 28

x = 14

BD = 7(14) - 10 = 88

BC = 4(14) - 29 = 27

CD = 5(14) - 9 = 61

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