aubreejean1120
aubreejean1120 aubreejean1120
  • 02-11-2020
  • Mathematics
contestada

please help on a timed assignment

Given Isosceles Trapezoid DUCK with mid-segment PQ, what is the value of X?
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please help on a timed assignment Given Isosceles Trapezoid DUCK with midsegment PQ what is the value of X class=

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eudora eudora
  • 07-11-2020

Answer:

x = 6

Step-by-step 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) = [tex]\frac{1}{2}(20+12)[/tex]

4x - 8 = 16

4x = 16 + 8

4x = 24

x = 6  

Therefore, the value of x is 6.

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