   Chapter 4.CT, Problem 14CT Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In trapezoid RSTV of Exercise 13, R S ¯ ∥ V T ¯ and M N ¯ is the median, Find x if V T = 2 x + 9 , M N = 6 x − 13 ,  and  R S = 15 . Exercise 13, 14

To determine

To Find:

The value of x.

Explanation

Given:

Trapezoid RSTV, RS¯VT¯ and MN¯ is the median.

VT=2x+9,MN=6x13, and RS=15.

Calculation:

The length of the median of a trapezoid equals one-half the sum of the lengths of two bases

RS¯ and VT¯ are the bases of the trapezoid.

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