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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: Q10. (page 247)

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

Short Answer

Expert verified

The value of x is 10.

Step by step solution

01

Step 1. Given information.

The ratio,

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

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

03

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

Then,

$20 = 2 x$

04

Step 4. Divide both sides by 2.

$\begin{array}{l} \frac{2 x}{2} = \frac{20}{2} \\ x = 10 \end{array}$

Therefore, the value of x is 10.

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Most popular questions from this chapter

complete each statement.

If $\frac{x}{3} = \frac{2}{5},$ then $5 x = ?$

complete each statement.

If $\frac{4}{x} = \frac{2}{7},$ then $2 x = ?$

complete each statement.

If $4 : t = 8 : 9$ then $8 t = ?$

. $x = 12, y = 10, a n d z = 24$ Write each ratio in simplest form.

$x : (x + y) : (y + z)$

Express the ratio in simplest form.

$\frac{4 n}{n^{2}}$

See all solutions

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