/*! 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} Q. 101 Translate to a system of equatio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 101 (page 405)

Translate to a system of equation and solve.

The difference of two supplementary angles is88 degrees. Find the measures of the angles.

Short Answer

Expert verified

The measure of the angles are46and134

Step by step solution

01

Step 1. Given information

Suppose xrepresents the measure of the first angle.

and similarly, yrepresents the measure of the second angle

Now, both the angles are supplementary

Therefore,

x+y=180

02

Step 2. Creating the equation  

The difference of two angles is 88.

Therefore,x-y=88

03

Step 3. Finding the value x 

Solve for x:

x+y=180x-y=88

localid="1658856459175" 2x=268

localid="1658856465563" x=2682

localid="1658856471082" =134

04

Step 4. Finding the value y

Substitute x=134, in the equation

Therefore,


y=180-134

=46

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

Determine whether the ordered pair is a solution to the system x-3y=-8-3x-y=4

  1. (2,-2)
  2. (-2,2)

A river cruise boat sailed 80miles down the Mississippi River for four hours. It took five hours to return. Find the rate of the cruise boat in still water and the rate of the current.

To decide whether it would be more convenient to solve the system of equations by substitution or

elimination.

(a)14x-15y=-307x+2y=10(b)x=9y-112x-7y=-27

A motor boat travels60miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in still water and the rate of the current.

A commercial jet can fly 868miles in 2hours with a tailwind but only 792miles in 2hours into a headwind. Find the speed of the jet in still air and the speed of the wind.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

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.