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point T is on line segment SU GIVEN SU =4× + 1, TU = 3× and ST =3×-1, determine the numerical length of SU

Sagot :

We have a line segment like this:

We can write:

[tex]\begin{gathered} SU=ST+TU \\ 4x+1=(3x-1)+(3x) \\ 4x+1=6x-1 \\ 4x-6x=-1-1 \\ -2x=-2 \\ x=\frac{-2}{-2} \\ x=1 \end{gathered}[/tex]

Then, we can find SU as:

[tex]SU=4x+1=4\cdot1+1=4+1=5[/tex]

Answer: SU = 5

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