FAST PLZ Given segment GH is bisected by line RS at S SG= (4x+3) units, and SH= (10x – 18) units find the length of segment G

Question

FAST PLZ
Given segment GH is bisected by line RS at S
SG= (4x+3) units, and SH= (10x – 18) units
find the length of segment GH

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Amity 1 year 2021-09-03T15:46:00+00:00 1 Answers 9 views 0

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    2021-09-03T15:47:09+00:00

    Answer:

    34 units

    Step-by-step explanation:

    Given segment GH is bisected by line RS at S

    SG= (4x+3) units, and SH= (10x – 18) units

    This means the length of segment GH is divided into two equal parts

    SG and SH

    SG = SH

    We solve for x

    (4x+3) units = (10x – 18) units

    4x + 3 = 10x – 18

    3 + 18 = 10x – 4x

    21 = 6x

    x = 21/6

    x = 3.5

    From the question,

    SG = (4x + 3) units

    SH = (10x – 18) units

    GH = SG + SH

    GH = (4x + 3)units + (10x – 18)units

    GH = 4x + 3 + 10x – 18

    GH = 4x + 10x + 3 – 18

    = 14x – 15 units

    Substituting 3.5 for x

    GH = 14 × 3.5 – 15

    = 49 – 15

    = 34 units

    Therefore, the length of segment GH = 34 units

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