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Sagot :
Answer:
16
Step-by-step explanation:
By the trapezoid midsegment theorem,
[tex]\frac{ST+6}{2}=11 \\ \\ ST+6=22 \\ \\ ST=16[/tex]
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
- ST = 16 units
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
We can use Trapezoid midsegment property:
[tex] \qquad❖ \: \sf \: \dfrac{ST + QR}{2} = LM[/tex]
[tex] \qquad❖ \: \sf \: \dfrac{ST + 6}{2} = 11[/tex]
[tex] \qquad❖ \: \sf \: {ST + 6} =2 \times 11[/tex]
[tex] \qquad❖ \: \sf \: {ST + 6} =22[/tex]
[tex] \qquad❖ \: \sf \: {ST } =22 - 6[/tex]
[tex] \qquad❖ \: \sf \: {ST } =16[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
- Length of segment 16
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