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12. find ab. ab =

Question

  1. find ab.

ab =

Explanation:

Step1: Recall trapezoid midsegment theorem

The midsegment of a trapezoid is the average of the two bases, so $MN = \frac{AB + DC}{2}$

Step2: Substitute known values

$22 = \frac{AB + 29}{2}$

Step3: Solve for $AB$

Multiply both sides by 2: $22 \times 2 = AB + 29$
$44 = AB + 29$
Subtract 29 from both sides: $AB = 44 - 29$

Answer:

15