Respuesta :
Answer:
8.5
Step-by-step explanation:
x+3+x+2=4x-2
2x+5=4x-6
2x-4x=-6-5
-2x=-11
x=5.5
GH=(5.5)+3
=8.5
The measure of GH is 7/4.
What is a line segment?
A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.
For the given situation,
The lengths of HI = x+2, GI = 4x-6, GH = x+3.
Thus the measure of GH is
[tex]x+3=(x+2)+(4x-6)[/tex]
⇒ [tex]x+3=x+2+4x-6[/tex]
⇒ [tex]x+3=5x-4[/tex]
⇒ [tex]5x-4-x-3=0[/tex]
⇒ [tex]4x-7=0[/tex]
⇒ [tex]4x=7[/tex]
⇒ [tex]x=\frac{7}{4}[/tex]
Hence we can conclude that the measure of GH is 7/4.
Learn more about line segment here
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