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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 23 to 28, find the equation (realtionship) requested. Then eliminate fractions and square root radicals from the equation.

For quadrilateral R S T V , suppose that R V - S T - . State an equation that relates m ,   n ,   p ,   q and r .

Chapter 10.3, Problem 26E, In Exercises 23 to 28, find the equation realtionship requested. Then eliminate fractions and square

To determine

To state:

An equation that relates m,n, p, q and r for the given figure.

Explanation

The given figure is shown below.

It is given that RVST.

If RV is parallel to ST, then their slopes are equal.

That is mRV=mST

Finding the slope of RV.

x1,y1=R0, 0

x2,y2=Vq, r

Formula for slope of the line containing two points.

Slope is denoted by m.

m=y2-y1x2-x1

Here x1x2

Substituting the x and y co-ordinates.

mRV=r-0q-0

Simplifying,

mRV=rq

Finding the slope of ST

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