Respuesta :
Answer:
the value of line ST is 6 centimeters long
Step-by-step explanation:
The attached image in conjunction with the question is shown in the file below.
We can see from the RT segment that the equation given can be expressed as:
[tex]\mathbf{2x+3x = 10}[/tex]
so; if we solve for x ; we have ;
[tex]\mathbf{5x= 10}[/tex]
divide both sides by 5 ; we have:
[tex]\mathbf{\dfrac{5x}{5}= \dfrac{10}{5}}[/tex]
[tex]\mathbf{x=2}[/tex]
However ; the value of ST is represent by the information:
[tex]\mathbf{ ST = 3x}[/tex]
replcaing the value for x; we have :
[tex]\mathbf{ ST = 3*2}[/tex]
[tex]\mathbf{ ST = 6}[/tex]
Thus, the value of line ST is 6 centimeters long
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