Find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) =

By using expression for the length of a segment between two points,

Length of a segment =

Distance between two points A(-5, -6) and D(3, 2),

AD =

AD =

AD =

AD =

Distance between B(-6, -2) and C(-4, 0)

BC =

BC =

BC =

Therefore, m(YZ) =

                             =

                             =

Option C will be the answer.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt