Answer:
34 units
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