Answer:
AD = 230
Step-by-step explanation:
here, we want to find the measure it AD
To do this, we need the value of x firstly
To get this, we are going to use the trapezoid midpoint theorem
The theorem is that the sum of the two parallel sides of a trapezoid when divided by 2 will give the middle point length of the trapezoid
Applying this:
1/2{30x-10+ 30x + 28} = 31x + 1
2(31x + 1) = 60x+ 18
divide both sides by 2
31x + 1 = 30x + 9
31x -30x = 9-1
x = 8
But;
AD = 30x-10
AD = 30(8)-10
AD = 240-10
AD = 230
