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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: Q2. (page 247)

complete each statement.
If $\frac{4}{x} = \frac{2}{7},$ then $2 x = ?$

Short Answer

Expert verified

The final answer is, $2 x = 28$ .

Step by step solution

01

Step 1. Given information.

The given proportion is,

$\frac{4}{x} = \frac{2}{7}$

02

Step 2. Solve it by cross-multiplication method.

It is given that, $\frac{4}{x} = \frac{2}{7}$

03

Step 3. The product of means is equal to product of extremes.

So,

$28 = 2 x$

Therefore, the final answer is, $2 x = 28$ .

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Most popular questions from this chapter

The ratio of the lengths of two segments is $4 : 3$ when they are measured in centimeters. What is their ratio when they are measured in inches?

Refer to a triangle. Express the ratio of the height to the base in simplest form.

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

$(a)$ Apply the means-extremes property of proportions to the proportion.

$\frac{e}{f} = \frac{g}{5}$ and you get $5 e = ?$

$(b)$ Apply the property to the proportion $\frac{5}{f} = \frac{g}{e}$ and you get $? = ?$

$(c)$ Are the proportions $\frac{e}{f} = \frac{g}{5}$ and $\frac{5}{f} = \frac{g}{e}$ equivalent Why

What can you conclude from the given information.

Apply the means-extremes property to $\frac{a}{b} = \frac{c}{d}$ and also to $\frac{a}{c} = \frac{b}{d}$

See all solutions

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