BuyFindarrow_forward

Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580
Textbook Problem

Exercises 41–44 refer to Illustration 16. A B

and A C

are secants; C D ¯

and B F ¯

are chords.

images

ILLUSTRATION 16

Suppose B C = 100 ° and D F = 40 ° . Find the measure of B A C .

To determine

To calculate: The measure of BAC given that BC=100° and DF=40°, where AB and AC are secants; CD¯ and BF¯ are chords.

images

Explanation

Given Information:

A circle in which BC=100° and DF=40°, AB and AC are secants; CD¯ and BF¯ are chords.

Formula used:

The measure of an inscribed angle in a circle is equal to one-half the measure of its intercepted arc.

The exterior angle of a triangle is equal to the sum of interior opposite angles.

Calculation:

Consider the figure,

Here, BC is the intercepted arc of BDC and BDC is an inscribed angle.

Similarly, DF is the intercepted arc of DCF and DCF is an inscribed angle.

Further, the measure of an inscribed angle in a circle is equal to one-half the measure of its intercepted arc.

So, the measure of BDC is equal to one-half the measure of BC and the measure of DCF is equal to one-half the measure of the arc given by DF

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 12 Solutions

Show all chapter solutions add
Sect-12.1 P-11ESect-12.1 P-12ESect-12.1 P-13ESect-12.1 P-14ESect-12.1 P-15ESect-12.1 P-16ESect-12.1 P-17ESect-12.1 P-18ESect-12.1 P-19ESect-12.1 P-20ESect-12.1 P-21ESect-12.1 P-22ESect-12.1 P-23ESect-12.1 P-24ESect-12.1 P-25ESect-12.1 P-26ESect-12.1 P-27ESect-12.1 P-28ESect-12.1 P-29ESect-12.1 P-30ESect-12.1 P-31ESect-12.1 P-32ESect-12.1 P-33ESect-12.1 P-34ESect-12.1 P-35ESect-12.1 P-36ESect-12.2 P-1ESect-12.2 P-2ESect-12.2 P-3ESect-12.2 P-4ESect-12.2 P-5ESect-12.2 P-6ESect-12.2 P-7ESect-12.2 P-8ESect-12.2 P-9ESect-12.2 P-10ESect-12.2 P-11ESect-12.2 P-12ESect-12.2 P-13ESect-12.2 P-14ESect-12.2 P-15ESect-12.2 P-16ESect-12.2 P-17ESect-12.2 P-18ESect-12.2 P-19ESect-12.2 P-20ESect-12.2 P-21ESect-12.2 P-22ESect-12.2 P-23ESect-12.2 P-24ESect-12.2 P-25ESect-12.2 P-26ESect-12.2 P-27ESect-12.2 P-28ESect-12.2 P-29ESect-12.2 P-30ESect-12.2 P-31ESect-12.2 P-32ESect-12.2 P-33ESect-12.2 P-34ESect-12.2 P-35ESect-12.2 P-36ESect-12.2 P-37ESect-12.2 P-38ESect-12.2 P-39ESect-12.2 P-40ESect-12.2 P-41ESect-12.2 P-42ESect-12.2 P-43ESect-12.2 P-44ESect-12.2 P-45ESect-12.3 P-1ESect-12.3 P-2ESect-12.3 P-3ESect-12.3 P-4ESect-12.3 P-5ESect-12.3 P-6ESect-12.3 P-7ESect-12.3 P-8ESect-12.3 P-9ESect-12.3 P-10ESect-12.3 P-11ESect-12.3 P-12ESect-12.3 P-13ESect-12.3 P-14ESect-12.3 P-15ESect-12.3 P-16ESect-12.3 P-17ESect-12.3 P-18ESect-12.3 P-19ESect-12.3 P-20ESect-12.3 P-21ESect-12.3 P-22ESect-12.3 P-23ESect-12.3 P-24ESect-12.3 P-25ESect-12.3 P-26ESect-12.3 P-27ESect-12.3 P-28ESect-12.3 P-29ESect-12.3 P-30ESect-12.3 P-31ESect-12.3 P-32ESect-12.3 P-33ESect-12.3 P-34ESect-12.3 P-35ESect-12.3 P-36ESect-12.3 P-37ESect-12.3 P-38ESect-12.3 P-39ESect-12.3 P-40ESect-12.3 P-41ESect-12.3 P-42ESect-12.3 P-43ESect-12.3 P-44ESect-12.3 P-45ESect-12.3 P-46ESect-12.3 P-47ESect-12.3 P-48ESect-12.3 P-49ESect-12.3 P-50ESect-12.3 P-51ESect-12.3 P-52ESect-12.3 P-53ESect-12.3 P-54ESect-12.4 P-1ESect-12.4 P-2ESect-12.4 P-3ESect-12.4 P-4ESect-12.4 P-5ESect-12.4 P-6ESect-12.4 P-7ESect-12.4 P-8ESect-12.4 P-9ESect-12.4 P-10ESect-12.4 P-11ESect-12.4 P-12ESect-12.4 P-13ESect-12.4 P-14ESect-12.4 P-15ESect-12.4 P-16ESect-12.4 P-17ESect-12.4 P-18ESect-12.4 P-19ESect-12.4 P-20ESect-12.4 P-21ESect-12.4 P-22ESect-12.4 P-23ESect-12.5 P-1ESect-12.5 P-2ESect-12.5 P-3ESect-12.5 P-4ESect-12.5 P-5ESect-12.5 P-6ESect-12.5 P-7ESect-12.5 P-8ESect-12.5 P-9ESect-12.5 P-10ESect-12.5 P-11ESect-12.5 P-12ESect-12.5 P-13ESect-12.5 P-14ESect-12.5 P-15ESect-12.5 P-16ESect-12.5 P-17ESect-12.5 P-18ESect-12.5 P-19ESect-12.5 P-20ESect-12.5 P-21ESect-12.5 P-22ESect-12.5 P-23ESect-12.5 P-24ESect-12.5 P-25ESect-12.5 P-26ESect-12.5 P-27ESect-12.5 P-28ESect-12.5 P-29ESect-12.5 P-30ESect-12.5 P-31ESect-12.5 P-32ESect-12.5 P-33ESect-12.5 P-34ESect-12.5 P-35ESect-12.5 P-36ESect-12.5 P-37ESect-12.5 P-38ESect-12.5 P-39ESect-12.5 P-40ESect-12.5 P-41ESect-12.5 P-42ESect-12.5 P-43ESect-12.5 P-44ESect-12.5 P-45ESect-12.5 P-46ESect-12.5 P-47ESect-12.5 P-48ESect-12.5 P-50ESect-12.5 P-51ESect-12.5 P-52ESect-12.5 P-53ESect-12.5 P-54ESect-12.5 P-55ESect-12.6 P-1ESect-12.6 P-2ESect-12.6 P-3ESect-12.6 P-4ESect-12.6 P-5ESect-12.6 P-6ESect-12.6 P-7ESect-12.6 P-8ESect-12.6 P-9ESect-12.6 P-10ESect-12.6 P-11ESect-12.6 P-12ESect-12.6 P-13ESect-12.6 P-14ESect-12.6 P-15ESect-12.6 P-16ESect-12.6 P-17ESect-12.6 P-18ESect-12.6 P-19ESect-12.6 P-20ESect-12.6 P-21ESect-12.6 P-22ESect-12.6 P-23ESect-12.6 P-24ESect-12.6 P-25ESect-12.6 P-26ESect-12.6 P-27ESect-12.6 P-28ESect-12.6 P-29ESect-12.6 P-30ESect-12.6 P-31ESect-12.6 P-32ESect-12.6 P-33ESect-12.7 P-1ESect-12.7 P-2ESect-12.7 P-3ESect-12.7 P-4ESect-12.7 P-5ESect-12.7 P-6ESect-12.7 P-7ESect-12.7 P-8ESect-12.7 P-9ESect-12.7 P-10ESect-12.7 P-11ESect-12.7 P-12ESect-12.7 P-13ESect-12.7 P-14ESect-12.7 P-15ESect-12.7 P-16ESect-12.7 P-17ESect-12.7 P-18ESect-12.7 P-19ESect-12.7 P-20ESect-12.7 P-21ESect-12.7 P-22ESect-12.7 P-23ESect-12.8 P-1ESect-12.8 P-2ESect-12.8 P-3ESect-12.8 P-4ESect-12.8 P-5ESect-12.8 P-6ESect-12.8 P-7ESect-12.8 P-8ESect-12.8 P-9ESect-12.8 P-10ESect-12.8 P-11ESect-12.8 P-12ESect-12.8 P-13ESect-12.8 P-14ESect-12.8 P-15ESect-12.8 P-16ESect-12.8 P-17ESect-12.8 P-18ESect-12.8 P-19ESect-12.8 P-20ESect-12.8 P-21ESect-12.8 P-22ESect-12.8 P-23ESect-12.8 P-24ESect-12.8 P-25ESect-12.8 P-26ESect-12.8 P-27ESect-12.8 P-28ESect-12.8 P-29ESect-12.8 P-30ESect-12.8 P-31ESect-12.8 P-32ESect-12.8 P-33ESect-12.8 P-34ESect-12.8 P-35ESect-12.9 P-1ESect-12.9 P-2ESect-12.9 P-3ESect-12.9 P-4ESect-12.9 P-5ESect-12.9 P-6ESect-12.9 P-7ESect-12.9 P-8ESect-12.9 P-9ESect-12.9 P-10ESect-12.9 P-11ESect-12.9 P-12ESect-12.9 P-13ESect-12.9 P-14ESect-12.9 P-15ESect-12.9 P-16ESect-12.9 P-17ESect-12.9 P-18ESect-12.9 P-19ESect-12.9 P-20ESect-12.9 P-21ESect-12.9 P-22ESect-12.9 P-23ESect-12.9 P-24ESect-12.9 P-25ESect-12.9 P-26ESect-12.9 P-27ESect-12.9 P-28ESect-12.9 P-29ESect-12.10 P-1ESect-12.10 P-2ESect-12.10 P-3ESect-12.10 P-4ESect-12.10 P-5ESect-12.10 P-6ESect-12.10 P-7ESect-12.10 P-8ESect-12.10 P-9ESect-12.10 P-10ESect-12.10 P-11ESect-12.10 P-12ESect-12.10 P-13ESect-12.10 P-14ESect-12.10 P-15ESect-12.10 P-16ESect-12.10 P-17ESect-12.10 P-18ECh-12 P-1RCh-12 P-2RCh-12 P-3RCh-12 P-4RCh-12 P-5RCh-12 P-6RCh-12 P-7RCh-12 P-8RCh-12 P-9RCh-12 P-10RCh-12 P-11RCh-12 P-12RCh-12 P-13RCh-12 P-14RCh-12 P-15RCh-12 P-16RCh-12 P-17RCh-12 P-18RCh-12 P-19RCh-12 P-20RCh-12 P-21RCh-12 P-22RCh-12 P-23RCh-12 P-24RCh-12 P-25RCh-12 P-26RCh-12 P-27RCh-12 P-28RCh-12 P-29RCh-12 P-30RCh-12 P-31RCh-12 P-32RCh-12 P-33RCh-12 P-34RCh-12 P-35RCh-12 P-36RCh-12 P-1TCh-12 P-2TCh-12 P-3TCh-12 P-4TCh-12 P-5TCh-12 P-6TCh-12 P-7TCh-12 P-8TCh-12 P-9TCh-12 P-10TCh-12 P-11TCh-12 P-12TCh-12 P-13TCh-12 P-14TCh-12 P-15TCh-12 P-1CRCh-12 P-2CRCh-12 P-3CRCh-12 P-4CRCh-12 P-5CRCh-12 P-6CRCh-12 P-7CRCh-12 P-8CRCh-12 P-9CRCh-12 P-10CRCh-12 P-11CRCh-12 P-12CRCh-12 P-13CRCh-12 P-14CRCh-12 P-15CRCh-12 P-16CRCh-12 P-17CRCh-12 P-18CRCh-12 P-19CRCh-12 P-20CRCh-12 P-21CRCh-12 P-22CRCh-12 P-23CRCh-12 P-24CRCh-12 P-25CRCh-12 P-26CRCh-12 P-27CRCh-12 P-28CRCh-12 P-29CRCh-12 P-30CR

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Insert the proper sign to replacein problems 7-14. 10.

Mathematical Applications for the Management, Life, and Social Sciences

[1, 4)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Find all possible real solutions of each equation in Exercises 3144. x36x2+12x8=0

Finite Mathematics and Applied Calculus (MindTap Course List)

Add or Subtract Perform the addition or subtraction and simplify. 49. 1x2+1x2+x

Precalculus: Mathematics for Calculus (Standalone Book)

Find each or the followin.tt values for the distribution shown in the following polygon. a. n b. X c. X2

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)