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.
Exercises 8 - 10
Given: | AB = 2x + 7 and BC = 3x + 4, and CD = 3x + 2 | |
Find: | x and DA |
To find:
x and DA of the given rectangle.
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
Elementary Geometry For College Students, 7e
Calculus: Early Transcendental Functions
Essentials Of Statistics
Finite Mathematics and Applied Calculus (MindTap Course List)
Mathematical Applications for the Management, Life, and Social Sciences
Calculus: An Applied Approach (MindTap Course List)
Mathematical Excursions (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Single Variable Calculus
Probability and Statistics for Engineering and the Sciences
Contemporary Mathematics for Business & Consumers
Statistics for The Behavioral Sciences (MindTap Course List)
Elements Of Modern Algebra
Single Variable Calculus: Early Transcendentals, Volume I
Calculus of a Single Variable
Finite Mathematics for the Managerial, Life, and Social Sciences
Elementary Technical Mathematics
Multivariable Calculus
Applied Calculus
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Calculus: Early Transcendentals
Trigonometry (MindTap Course List)
Understanding Basic Statistics
Intermediate Algebra
Finite Mathematics
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Calculus: Early Transcendental Functions (MindTap Course List)
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Introduction To Statistics And Data Analysis
Multivariable Calculus
Calculus (MindTap Course List)
College Algebra (MindTap Course List)
Mathematics: A Practical Odyssey
Research Methods for the Behavioral Sciences (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Statistics for Business & Economics, Revised (MindTap Course List)
Mathematics For Machine Technology
STATISTICS F/BUSINESS+ECONOMICS-TEXT