4x-6
3x+2
x+12
x=?
trapezoid rsvt has median uk. if vt=4x-6 and uk =3x+2 and rs = x+12.find x
Okay well assuming I understand the question correctly....
You have trapezoid RSVT. Your top base of the trapezoid is X+12 and your bottom base of the trapezoid is 4x-6. Your median of the trapezoid is 3x+2.
Label your median as A and B.
The formula to use here is AB = (RS + VT)/2
Therefore you have 3x+2 = ((x+12) + (4x-6))/2
Simplify and you get the following:
3x+2 = (x+4x+12-6)/2
3x+2 = (5x+6)/2
2(3x+2) = 5x+6
6x+4 = 5x+6
6x-5x = 6-4
x = 2
Comments
Okay well assuming I understand the question correctly....
You have trapezoid RSVT. Your top base of the trapezoid is X+12 and your bottom base of the trapezoid is 4x-6. Your median of the trapezoid is 3x+2.
Label your median as A and B.
The formula to use here is AB = (RS + VT)/2
Therefore you have 3x+2 = ((x+12) + (4x-6))/2
Simplify and you get the following:
3x+2 = (x+4x+12-6)/2
3x+2 = (5x+6)/2
2(3x+2) = 5x+6
6x+4 = 5x+6
6x-5x = 6-4
x = 2