SOLUTION: We have trapezoid ABCD with AB ∥ DC also, M and N are midpoints of AD and BC, respectively. Given:AB = 4x + 5 and DC = 6x − 3 Find: MN in terms of x

Algebra ->  Formulas -> SOLUTION: We have trapezoid ABCD with AB ∥ DC also, M and N are midpoints of AD and BC, respectively. Given:AB = 4x + 5 and DC = 6x − 3 Find: MN in terms of x      Log On


   



Question 1193332: We have trapezoid ABCD with AB ∥ DC also, M and N are midpoints of AD and BC, respectively.
Given:AB = 4x + 5 and DC = 6x − 3
Find: MN in terms of x

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
 

The midline of a trapezoid is the average of the two parallel sides:

MN%22%22=%22%22%28AB%2BDC%29%2F2

MN%22%22=%22%22%28%284x%2B5%29%2B%286x-3%29%29%2F2 

MN%22%22=%22%22%284x%2B5%2B6x-3%29%2F2

MN%22%22=%22%22%2810x%2B2%29%2F2  

MN%22%22=%22%22%282%285x%2B1%29%29%2F2  

MN%22%22=%22%22%28cross%282%29%285x%2B1%29%29%2Fcross%282%29 

MN%22%22=%22%225x%2B1 

Edwin