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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: Q14. (page 246)

What can you conclude from the given information
$\frac{2}{5} = \frac{y}{k}$ and $\frac{2}{z} = \frac{5}{k}$

Short Answer

Expert verified

This conclude that,the value of $y 鈥� a n d 鈥夆赌� z$ are equal.

Step by step solution

01

Step 1. Given information.

The given proportions are,

$\frac{2}{5} = \frac{y}{k} 鈥夆赌� a n d 鈥夆赌� \frac{2}{z} = \frac{5}{k}$

02

Step 2. For the proportion 2z=5k we can also write as.

It is given $\frac{2}{5} = \frac{y}{k} 鈥夆赌� a n d 鈥夆赌� \frac{2}{z} = \frac{5}{k}$ ,

So,

$\frac{2}{z} = \frac{5}{k} 鈬� \frac{2}{5} = \frac{z}{k}$

03

Step 3. Now, comparing.

$\frac{2}{5} = \frac{y}{k} 鈥夆赌�$ and $\frac{2}{5} = \frac{z}{k}$

$\frac{y}{k} = \frac{z}{k}$

This conclude that, the value of $y 鈥� a n d 鈥夆赌� z$ are equal.

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Most popular questions from this chapter

Apply the means-extremes property to $\frac{x}{10} = \frac{4}{5}$ and you get $5 x = ?$ and $x = ?$

Find the value of x.

$\frac{x + 5}{4} = \frac{1}{2}$

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

$(a)$ 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

Write the algebraic ratio in simplest form.

$\frac{3 a}{4 a b}$

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