Question

ASAP help me with this PLEASE

Answer 1

Answer:

16

Step-by-step explanation:

By the trapezoid midsegment theorem,

$\frac{ST+6}{2}=11 \\ \\ ST+6=22 \\ \\ ST=16$

Answer 2

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

• ST = 16 units

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

We can use Trapezoid midsegment property:

$\qquad❖ \: \sf \: \dfrac{ST + QR}{2} = LM$

$\qquad❖ \: \sf \: \dfrac{ST + 6}{2} = 11$

$\qquad❖ \: \sf \: {ST + 6} =2 \times 11$

$\qquad❖ \: \sf \: {ST + 6} =22$

$\qquad❖ \: \sf \: {ST } =22 - 6$

$\qquad❖ \: \sf \: {ST } =16$

$\qquad \large \sf {Conclusion} :$

• Length of segment 16