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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: Q8. (page 247)

complete each statement.
If $\frac{a}{b} = \frac{5 鈭� x}{x}$ then $\frac{a + b}{b} = ?$

Short Answer

Expert verified

The final answer is, $\frac{a}{b} = \frac{5 鈭� x}{x} 鈬� \frac{a + b}{b} = \frac{5}{x}$

Step by step solution

01

Step 1. Given information.

The given proportion is,

$\frac{a}{b} = \frac{5 鈭� x}{x}$

It is given that, $\frac{a}{b} = \frac{5 鈭� x}{x}$

02

Step 2. Add 1 both sides.

$\frac{a}{b} + 1 = \frac{5 鈭� x}{x} + 1$

03

Step 3. The given proportion will be equivalent to.

$\frac{a + b}{b} = \frac{5 鈭� x + x}{x} = \frac{5}{x}$

So,

$\frac{a}{b} = \frac{5 鈭� x}{x} 鈬� \frac{a + b}{b} = \frac{5}{x}$

Therefore, the final answer is $\frac{a}{b} = \frac{5 鈭� x}{x} 鈬� \frac{a + b}{b} = \frac{5}{x}$ ,

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Most popular questions from this chapter

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.

Find the value of x.

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

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

and $B D = 66$ .

Show that the proportions $\frac{a + b}{b} = \frac{c + d}{d}$ and $\frac{a}{b} = \frac{c}{d}$ are equivalent.

Write the algebraic ratio in simplest form.

$\frac{2 c d}{5 c^{2}}$

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