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# Geometry quiz help?

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640
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What is the value of x?

https://prnt.sc/hxqapg

What is the value of x?

https://prnt.sc/hxqb2o

What is the value of x?

https://prnt.sc/hxqbjh

What is the value of x?

https://prnt.sc/hxqbz5

Jan 8, 2018

#1
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First one :

VY  / VT   =  KY  / KT

VY / 57  =  68 / 129.2         Multiply both sides by 57

VY  =   57 * 68  / 129.2  =   30

So.....

x =  KY + VY  =  68  +  30  =   98 units

Second one :

Note that   MA  =  MN - AN  =  67.2  - 32   =    35.2

So

MA / MN   =  MB / MP

35.2  /  67.2   =   MB  / 81.9       mutiply both sides by 81.9

81.9 * 35.2 / 67.2  = MB  =  x   =  42.9

Third one :

62 / 99.2   = [ x + 2 ] / 112    cross-multiply

112 * 62   =   99.2  [ x + 2]      simplify

6944  =  99.2x  +  198.4          subtract 198.4 from both sides

6745.6  =    99.2x          divide both sides by 99.2

68  =  x

Last one :

[3x - 20 ]  / 56   =  9 / 72

[ 3x  - 20] / 56    =   1  / 8        cross-multiply

8 [ 3x - 20 ]     =   56

24x -  160   =  56       add 160 to both sides

24x  =  216           divide both sides by 24

x  = 9   Jan 8, 2018