   Chapter 4.4, Problem 14E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 11 to 16, the drawing shows trapezoid ABCD with A B ¯ | | D C ¯ ; also, M and N are midpoints of A D ¯ and B C ¯ , respectively. Exercises 11-16Given: A B = 7 x + 5 , D C = 4 x − 2 and M N = 5 x + 3 Find: x .

To determine

To Find:

The value of x.

Explanation

Consider the following trapezoid ABCD.

Given:

AB=7x+5, DC=4x2 and MN=5x+3.

Also in the given trapezoid, AB¯||DC¯.

M is the midpoint of the side AD¯ and N is the midpoint of the side BC¯.

MN is the median of the trapezoid ABCD.

We know that the length of the median (m) of a trapezoid is the average of the lengths of the bases

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