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Geometry

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

$Math Studyset Vaia Explanations$ Math

Student Edition · 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

Gegeben ist die Ebene $E : 2 x_{1} + 2 x_{2} + x_{3} = 3 .$

6.1

Gib diejenige Zahl $a$ an, für die der Punkt $A (a | 0 | - 1)$ in der Ebene $E$ liegt.

6.2

Der Punkt $S$ ist der Schnittpunkt der Ebene $E$ mit der Geraden $g$ , die senkrecht auf $E$ steht und durch den Punkt $B (1 | 3 | 4)$ verläuft.

Bestimmen Sie die Koordinaten von $S$ .

Points Band C lies on $\bar{A D}$ . Find AC if $\frac{A B}{B D} = \frac{3}{4}, \frac{A C}{C D} = \frac{5}{6},$

and $B D = 66$ .

What can you conclude from the given information.

Explain why $\frac{a}{b} = \frac{c}{d}$ and $\frac{b}{a} = \frac{d}{c}$ are equivalent.

Express the ratio in simplest form.

$S T : D I$

The perimeter of a triangle is $132 c m$ and the lengths of its sides are in the ratio $8 : 11 : 14$ . Find the length of each side.

See all solutions

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