Question

T and W are the midpoints of the legs,

SU
and
VX
, of trapezoid SUVX.
If TW=30 and UV=40, what is SX?

Answer 1

SX = 20

Explanation:

the midsegment of a trapezoid is half the sum of the parallel bases, then

`(UV+SX)/(2)` = TW , that is

`(40+SX)/(2)` = 30 ( multiply both sides by 2 to clear the fraction )

40 + SX = 60 ( subtract 40 from both sides )

SX = 20