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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 7: Q11. (page 247)

Find the value of x.
$\frac{2}{5} = \frac{3 x}{7}$

Short Answer

Expert verified

The value of X is $\frac{14}{15}$ .

Step by step solution

01

Step 1. Given information.

The ratio here given is,

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

02

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

03

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

Then,

$14 = 15 x$

04

Step 4. Divide both sides by 15.

$\begin{array}{l} \frac{15 x}{15} = \frac{14}{15} \\ x = \frac{14}{15} \end{array}$

Therefore, the value of x is $\frac{14}{15}$ .

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