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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