Find the exact length of the midsegment of the trapezoid with the vertices A(2,0), B(8,-4), C(12, 2), D(0, 10) The length of the midsegment is

Step-by-step explanation:

Midsegment = 3√13

Step-by-step explanation:

The length of the mid segment of trapezoid is half the sum of the lengths of the two parallel sides, AB and CD

Length of sides AB and CD

length = √(x2-x1)² + (y2-y1)²

AB =√(8-2)²+(-4-0)²

AB = 2√13

length = √(x2-x1)² + (y2-y1)²

CD = √(0-12)²+(10-2)²

CD = 4√13

Formula to use

midSegment = (AB+CD) / 2

                      = (4√13 + 2√13) / 2

                      = 3√13

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2