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NikAS [45]
3 years ago
13

FAST PLZ

Mathematics
1 answer:
KiRa [710]3 years ago
3 0

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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