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Need help with this thanks! The first equation is 4x-3

Need Help With This Thanks The First Equation Is 4x3 class=

Sagot :

EXPLANATION

We can affirm by the triangle midsegment theorem that the segment DF is half of the segment BC, therefore:

[tex]DF=\frac{1}{2}BC[/tex]

Plugging in the terms into the expression:

[tex](4x-3)=\frac{1}{2}(6(x+1))[/tex]

Applying the distributive property and removing the parentheses:

[tex]4x-3=3x+3[/tex]

Subtracting -3x to both sides:

[tex]4x-3x-3=3[/tex]

Subtracting terms:

[tex]x-3=3[/tex]

Adding +3 to both sides:

[tex]x=3+3[/tex]

Adding numbers:

[tex]x=6[/tex]

In conclusion, the value of x is 6