Find x and TU
Show all the work

x = 10

TU = 24

Step-by-step explanation:

To find the value of x, we use the trapezoid mid-segment theorem

The sum of the lengths of the two parallel sides is equal to twice the length of the mid segment

Mathematically, we have this as;

2(2x+ 4) = 2x-4 + 3x + 2

4x + 8 = 5x - 2

5x -4x = 8 + 2

x = 10

TU = 2x + 4 ; = 2(10) + 4 = 20 + 4 = 24

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3