Answer:
C) 9.0
Step-by-step explanation:
According to the Triangle Midsegment Theorem, the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
In the given triangle, the line segment labelled 3x - 2 is connecting the midpoints of two of its sides. Therefore, its length is equal to half the length of the third side:
[tex]3x-2=\dfrac{50}{2}[/tex]
Solve for x:
[tex]3x-2=25\\\\\\3x-2+2=25+2\\\\\\3x=27\\\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\\\x=9[/tex]
Therefore, when rounded to the nearest tenth, the value of x is:
[tex]\Large\boxed{\boxed{x=9.0}}[/tex]
