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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: Q15. (page 247)

Find the value of x.
$\frac{x + 2}{x + 3} = \frac{4}{5}$

Short Answer

Expert verified

The value of x is2 .

Step by step solution

01

Step 1. Given information.

The ratio here given is,

$\frac{x + 2}{x + 3} = \frac{4}{5}$

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 $\frac{x + 2}{x + 3} = \frac{4}{5}$ ,

03

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

Then,

$\begin{array}{l} 5 (x + 2) = 4 (x + 3) \\ 5 x + 10 = 4 x + 12 (Usingdistributiveproperty) \\ 5 x 鈭� 4 x = 12 鈭� 10 \\ x = 2 \end{array}$

Therefore, the value of x is 2.

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Most popular questions from this chapter

What can you conclude from the given information

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