/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q31 Find the value of x that makes t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q31 (page 88)

Find the value of x that makes the lines shown in red parallel.

Short Answer

Expert verified

The obtained conclusion is x=12掳.

Step by step solution

01

Step 1. Observe the provided figure

The provided figure represents that the lines m and n are having a parallel connection between them.

02

Step 2. Fill the second blank of reasons

As the angles 鈭�1and 鈭�3are the vertical angles which are having the same measurement so they are congruent.

03

Step 3. Use the observation

The angles that are positioned inside are having a measurement of if they are added. According to the figure x2掳and 3x掳are representing the interior angles so make an equation by using this.

x2掳+3x掳=180掳

04

Step 4. Determine the value of x

Determine the value of x by factoring the obtained equation.

x2+3x=180

x2+15x鈭�12x鈭�180=0

xx+15鈭�12x+15=0

x鈭�12x+15=0

x=12,鈭�15

05

Step 5. Make the conclusion

The negative value of x cannot be considered because it will result in a negative angle and an angle is always positive so the value of x=12掳.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What do the arrowheads in the diagram tell you?

Classify each pair of angles as alternate interior, same side interior

or corresponding angles

and

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

State the postulate or theorem that justifies each statement.

鈭�6鈮�鈭�7

Complete each statement with the word always, sometimes, or never.

Two planes parallel to the same plane are ?parallel to each other.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.