Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Q23 (page 170)

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

Short Answer

Expert verified

The value of x and y is 5 and 4 respectively.

Step by step solution

01

Step 1. Apply property of parallelogram.

Diagonals of a parallelogram bisect each other, that is, two segments of each diagonal are equal to one another.

In a given figure, by the property of a parallelogram,

2x+2y=18

02

Step 2. Apply property of parallelogram.

The opposite sides of a parallelogram are congruent.

In a given figure, by the property of a parallelogram,

2x+5y=30

03

Step 3. Description of step.

Subtract the equation in step 1 from the equation in step 2.

2x+5y−2x+2y=30−182x+5y−2x−2y=123y=12y=4

04

Step 4. Description of step.

Substitute 4 for y into 2x+2y=18 to find the value of x.

2x+2×4=182x+8=182x=10x=5

Therefore, the value of x and y is 5 and 4 respectively.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

In the exercise 3 quad.ABCD is a parallelogram. Find the values of x, y, and z.

▱DECKis a parallelogram. Complete.

Ifm∠1=3x,m∠2=4x and m∠3=x2-70then x=?andm∠CED=? (numerical answers).

For exercises, 14-18 write paragraph proofs.

Given: parallelogram ABCD, AN¯bisects ∠DAB; CM¯bisects ∠BCD.

Prove: AMCN is a parallelogram.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.

Sign-up for free