Complete each statement. a) Given that the length and the width of a rectangle are measured in inches, its area is measured in ___. b) If two closed plane figures are congruent, then their areas are _.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Ministry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5

3. Construct a triangle in the Poincare plane with all sides equal to ln(2). (Hint: Use the fact that, the circle with center (0,a) and radius ln(r), r>1 in the Poincaré plane is equal to the point set { (x,y) : x^2+(y-1/2(r+1/r)a)^2=1/4(r-1/r)^2a^2 }

n. g. = neutral geometry <ABC = angle ABC \leq = less or equal than sqrt{x} = square root of x cLr = the line in the Poincaré plane defined by the equation (x-c)^2+y^2=r^2 1. Find the bisector of the angle <ABC in the Poincaré plane, where A=(0,5), B=(0,3) and C=(2,\sqrt{21})

Answer 2

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Answer 8

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer 13

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Answer 14

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Answer 15

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

b.

To complete:

The given sentence.

Answer 20

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Answer 21

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Answer 22

Ch. 8.1 - Suppose that two triangles have equal areas. Are...Ch. 8.1 - The area of the square is 12, and the area of the...Ch. 8.1 - Consider the information in Exercise 2, but...Ch. 8.1 - If MNPQ is a rhombus, which formula from this...Ch. 8.1 - In rhombus MNPQ, how does the length of the...Ch. 8.1 - When the diagonals of rhombus MNPQ are drawn, how...Ch. 8.1 - Prob. 7E Ch. 8.1 - Are ABC and DEF congruent? Exercises 7, 8 Ch. 8.1 - Prob. 9E Ch. 8.1 - In Exercises 9 to 18, find the areas of the...

Complete each statement. a) Given that the length and the width of a rectangle are measured in inches, its area is measured in ___. b) If two closed plane figures are congruent, then their areas are _.

Videos

Answer to Problem 1CT

Explanation of Solution

Answer to Problem 1CT

Explanation of Solution

Want to see more full solutions like this?

Chapter 8 Solutions

Additional Math Textbook Solutions