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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: Q2. (page 246)

Which proportions are equivalent to $\frac{x}{12} = \frac{3}{4} ?$
$(a .) \frac{x}{3} = \frac{12}{4}$ $(b .) \frac{x}{4} = \frac{12}{3}$ $(c .) \frac{12}{x} = \frac{4}{3}$ $(d .) \frac{x + 12}{12} = \frac{7}{4}$

Short Answer

Expert verified

The given proportion is equivalent to,

$\frac{x + 3}{3} = \frac{7}{4}$

Step by step solution

01

Step 1. Given information.

The given proportion is,

$\frac{x}{3} = \frac{3}{4}$

02

Step 2. Concept used.

For the proportion $\frac{a}{b} = \frac{c}{d}$ ,

it is equivalent to, $\frac{a + b}{b} = \frac{c + d}{d}$

03

Step 3. Apply this concept on given proportion.

It is given that, $\frac{x}{3} = \frac{3}{4}$

So, $\frac{x + 3}{3} = \frac{3 + 4}{4} = \frac{7}{4}$

Therefore, the given proportion is equivalent to,

$\frac{x + 3}{3} = \frac{3 + 4}{4} = \frac{7}{4}$

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Most popular questions from this chapter

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.

For the figure shown, it is given that $\frac{K R}{R T} = \frac{K S}{S U}$ . Copy and complete the table.

complete each statement.

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

Find the value of x.

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

For the figure shown, it is given that $\frac{K R}{R T} = \frac{K S}{S U}$ . Copy and complete the table.

See all solutions

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