Question

Please help on a timed assignment

Given Isosceles Trapezoid DUCK with mid-segment PQ, what is the value of X?
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Answer 1

x = 6

Explanation:

From the picture attached,

DUCK is an isosceles trapezoid.

Segment PQ is the mid-segment.

By mid-segment theorem,

"If a line connecting the midpoints of the two legs is parallel to the base, length of the mid-segment will be equal to half of the sum of parallel bases.

(4x - 8) =
`(1)/(2)(20+12)`

4x - 8 = 16

4x = 16 + 8

4x = 24

x = 6

Therefore, the value of x is 6.