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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 8 to 10, use the properties of rectangles to solve each problem. Rectangle ABCD is shown in the figure.

In Exercise 9 and 10, see the figure for Exercise 8.

Chapter 4.3, Problem 9E, In Exercises 8 to 10, use the properties of rectangles to solve each problem. Rectangle ABCD is

Exercises 8 - 10

Given: AB = 2x + 7 and BC = 3x + 4, and CD = 3x + 2
Find: x and DA

To determine

To find:

x and DA of the given rectangle.

Explanation

The basic property of rectangle:

1) All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

2) All angles are right angles by definition.

3) The diagonals are congruent.

Calculation:

Given: AB = 2x + 7 and BC = 3x + 4, and CD = 3x + 2

Consider the rectangle.

Now we have to find x and DA of the given rectangle.

To find x:

From the property, opposite sides are congruent in rectangle.

So, AB = CD

2x+7=3x+23x

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