Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q20.

Expert-verified

Geometry

Found in: Page 247

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Find the value of x.
$\frac{3 x + 5}{3} = \frac{18 x + 5}{7}$

The value of x is $\frac{20}{33}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The ratio here given is,

$\frac{3 x + 5}{3} = \frac{18 x + 5}{7}$

Step 2. Concept and Formula Used.

The properties of proportion,

if $\frac{a}{b} = \frac{c}{d}$ then, $a d = b c$

The given ratio is $\frac{3 x + 5}{3} = \frac{18 x + 5}{7}$ ,

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Then,

$\begin{array}{l} 7 (3 x + 5) = 3 (18 x + 5) \\ 21 x + 35 = 54 x + 15 (Using distributive property) \\ 21 x - 54 x = 15 - 35 \\ - 33 x = - 20 \end{array}$

Step 4. Divide both sides by -33.

$\begin{array}{l} \frac{- 33 x}{- 33} = \frac{- 20}{- 33} \\ x = \frac{20}{33} \end{array}$

Therefore, the value of x is $\frac{20}{33}$ .

Most popular questions for Math Textbooks

Complete the statement.

If $\frac{k}{m} = \frac{2}{3},$ then $\frac{k + m}{m} = \frac{?}{?}$

The measures of the consecutive angles of a quadrilateral are in the ratio $5 : 7 : 11 : 13$ . Find the measure of each angle.

Find the value of x .

$\frac{2}{5} = \frac{3 x}{7}$

Find the value of x.

$\frac{x + 3}{2} = \frac{2 x - 1}{3}$

ABCD is a parallelogram. Find the value of each ratio.

$m ∠ C : m ∠ D$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free