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## 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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Mathematics
3 years
2021-09-03T15:46:00+00:00
2021-09-03T15:46:00+00:00 1 Answers
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## Answers ( )

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