Point F is on line segment \overline{EG} EG . Given FG=8,FG=8, EF=2x+4,EF=2x+4, and EG=4x-10,EG=4x−10, determine the numerical length of \ov

Question

Point F is on line segment \overline{EG} EG . Given FG=8,FG=8, EF=2x+4,EF=2x+4, and EG=4x-10,EG=4x−10, determine the numerical length of \overline{EF}. EF .

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Thu Hương 3 years 2021-08-15T23:40:25+00:00 1 Answers 147 views 0

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    2021-08-15T23:42:13+00:00

    Answer:

    26 units

    Step-by-step explanation:

    If point F is on the line segment EG, then EF+FG = EG

    Given

    FG=8,

    EF=2x+4

    EG=4x−10

    Substitute the given values into the formula;

    2x+4+8 = 4x−10

    2x+12 = 4x-10

    collect like terms

    2x-4x = -10-12

    -2x = -22

    x = 22/2

    x =11

    Since EF = 2x+4

    EF = 2(11)+4

    EF = 22+4

    EF = 26

    Hence the numerical length of EF is 26 units

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