Answer:
x=-4.5
Step-by-step explanation:
In the given triangle, Two sides are divided into equal part.
It means D and E is mid point of AB and AC.
Mid-point theorem: The line joining the mid points of sides of a triangle then line (DE) parallel to BC and DE is half of BC.
In the given figure, (Attachment)
DE = 3x+4
BC = 4x-1
[tex]DE=\dfrac{1}{2}BC[/tex] [mid-point theorem]
[tex]3x+4=\dfrac{1}{2}(4x-1)[/tex]
[tex]2(3x+4)=4x-1[/tex]
[tex]6x+8=4x-1[/tex]
[tex]6x-4x=-9[/tex]
[tex]2x=-9[/tex]
[tex]x=-4.5[/tex]
Hence, The value of x is -4.5
