Point g is between f and h. fh= 102, fg=5x+9, and hg=9x-5 a) what is the value of x? b) what is the length of fg? c) what is hg?

a)

FH = 102, FG = 5x + 9. HG = 9x - 5     Given

  FG    +   HG   =    FH                        Segment addition postulate

5x + 9 + 9x - 5 =  102                         Substitution

            14x + 4 = 102                        Simplify (added like terms)

                  14x = 98                          Subtraction property of equality

                     x = 7                             Division property of equality

b)   FG = 5x + 9  = 5(7) + 9   = 35 + 9   = 44

c)   HG = 9x - 5   = 9(7) - 5   = 63 - 5   = 58

Answers: a = 7, b = 44, c = 58

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles

move it to the other side

step-by-step explanation: