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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: Q9. (page 246)

$(a)$ 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

Short Answer

Expert verified

a.The result is, $f g$ .

b.The result is, $5 e and g f$ .

c.They are equivalent.

Step by step solution

01

Step 1. Given information.

Proportion is given as,

$\frac{e}{f} = \frac{g}{5}$

02

Step 2. Apply means-extreme property.

End value is extremes,

and middle are means.

03

Step 3. There is called extreme property as shown below.

$\begin{array}{l} \frac{e}{f} = \frac{g}{5} \\ e 脳 5 = g 脳 f \\ 5 e = f g \end{array}$

Therefore, the result is, $f g$ .

04

Step 1. Given information.

Proportion is given as,

$\frac{5}{f} = \frac{g}{e}$

05

Step 2. Cross multiply each value.

$\begin{array}{l} \frac{5}{f} = \frac{g}{e} \\ 5 脳 e = g 脳 f \\ 5 e = g f \end{array}$

Therefore, the result is $5 e and g f$ .

06

Step 1. Given information.

Proportions are given as,

$\frac{e}{f} = \frac{g}{5} and \frac{5}{f} = \frac{g}{e}$

07

Step 2. Cross multiply each value.

$\begin{array}{l} \frac{e}{f} = \frac{g}{5} and \frac{5}{f} = \frac{g}{e} \\ e 脳 5 = g 脳 f and 5 脳 e = g 脳 f \\ e 5 = g f and 5 e = g f \end{array}$

Yes, they are equal.

Therefore, the answer is, they are equivalent.

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Most popular questions from this chapter

Express the ratio in simplest form.

$D I : I T$

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

Express the ratio in simplest form.

Barbara is making oatmeal for breakfast. The instructions say to use3 cups of water with2 cups of oatmeal.

What is the ratio of water to oatmeal?

If Barbara uses6 cups of water, how much oatmeal does she need?

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