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HELP NEED ASAP PLS HELP

HELP NEED ASAP PLS HELP-example-1
User Daryl Teo
by
8.0k points

1 Answer

4 votes

Answer:

MN = 56

Explanation:

This can only be solved if we know the relation of MN to other dimensions of the trapezoid. If we assume MN is a midline (AM=MD, BN=NC), then MN is the average of the base lengths:

MN = (AB +CD)/2

2MN = AB +CD . . . . . multiply by 2

2(12x -4) = 8x +72 . . . fill in the given values for the segment lengths

24x -8 = 8x +72 . . . . . eliminate parentheses

16x = 80 . . . . . . . . . . . add 8-8x

x = 5 . . . . . . . . . . . . . . divide by 16

MN = 12(5) -4 = 56 . . . find the length of MN using its formula

User Saleh Omar
by
8.3k points

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