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Applying the Segment Addition PostulatePoint D is on segment BC. Segment BC measures 8xunits in length.СDBWhat is the length of segment BC?units3x + 84x + 10I dont understand how to do this can you help me? please and thank you!

Applying The Segment Addition PostulatePoint D Is On Segment BC Segment BC Measures 8xunits In LengthСDBWhat Is The Length Of Segment BCunits3x 84x 10I Dont Und class=

Answer :

[tex]\begin{gathered} CD+DB=BC \\ 3x+8+4x+10=8x \\ 7x+18=8x \\ 7x+18-18=8x-18 \\ 7x=8x-18 \\ 7x-8x=8x-18-8x \\ -x=-18 \\ x=18 \end{gathered}[/tex]

therefore the length of segment BC is

[tex]BC=8x=8(18)=144[/tex]

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