Q2 Justify each step.3a2=65聽聽3a=1... [FREE SOLUTION]

91影视

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 2: Q2 (page 41)

Justify each step.
$\begin{matrix} \frac{3 a}{2} = \frac{6}{5} \\ 3 a = \frac{12}{5} \\ a = \frac{4}{5} \end{matrix}$

Short Answer

Expert verified

$\frac{3 a}{2} = \frac{6}{5}$ Given

$3 a = \frac{12}{5}$ Multiplication property of equality

$a = \frac{4}{5}$ Division property of equality

Step by step solution

Step 1. Apply the multiplication property of equality.

If $a = b$ , then $c a = a b$ .

Step 2. Description of step.

Multiply each side of $\frac{3 a}{2} = \frac{6}{5}$ by 2 and simplify.

$\begin{matrix} 2 脳 \frac{3 a}{2} = 2 脳 \frac{6}{5} \\ 3 a = \frac{12}{5} \end{matrix}$

Step 3. Apply division property of equality.

If $a = b$ and $c 鈮� 0$ , then $\frac{a}{c} = \frac{b}{c}$ .

Step 4. Description of step.

Divide each side of the equation obtained in steps 2 by 3 to find the value of a.

$\begin{matrix} \frac{3 a}{3} = \frac{\frac{12}{5}}{3} \\ a = \frac{4}{5} \end{matrix}$

Therefore, the value of a is $\frac{4}{5}$ .

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Statement	Reasons
1. $\overset{鈫�}{B X}$ is the bisector of $鈭� A B C$	1. ?
2. $鈭� A B X 鈮�$ ?, or $m 鈭� A B X =$ ?	2. ?
3. $m 鈭� A B X + m 鈭� X B C = m 鈭� A B C$	3. ?
4. $m 鈭� A B X + m 鈭� A B X = m 鈭� A B C$ , or $2 m 鈭� A B X = m 鈭� A B C$	4. ?
5. $m 鈭� A B X = \frac{1}{2} m 鈭� A B C$	5. ?
6. $m 鈭� X B C = \frac{1}{2} m 鈭� A B C$	6. Substitution Prop. (Steps ? and ?)

91影视

Justify each step.
$\begin{matrix} \frac{3 a}{2} = \frac{6}{5} \\ 3 a = \frac{12}{5} \\ a = \frac{4}{5} \end{matrix}$

Short Answer

Step by step solution

Step 1. Apply the multiplication property of equality.

Step 2. Description of step.

Step 3. Apply division property of equality.

Step 4. Description of step.

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91影视

Justify each step.3a2=653a=125a=45

Short Answer

Step by step solution

Step 1. Apply the multiplication property of equality.

Step 2. Description of step.

Step 3. Apply division property of equality.

Step 4. Description of step.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Justify each step.
$\begin{matrix} \frac{3 a}{2} = \frac{6}{5} \\ 3 a = \frac{12}{5} \\ a = \frac{4}{5} \end{matrix}$