Question

X and U are the midpoints of the legs, WY and TV, of trapezoid TVWY. If TY=p+50, UX=–p+90, and VW=2p+75, what is the value of p?

Answer 1

Explanation:

since they are the midpoints, then the connecting line UX is also right in the middle of the lengths of TY and VW.

so,

UX = (TY + VW)/2

-p + 90 = (p + 50 + 2p + 75)/2

-2p + 180 = 3p + 125

55 = 5p

p = 55/5 = 11