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Q18.

Expert-verified

Pre-algebra

Found in: Page 695

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the value of $x$ that makes lines $m$ and $v$ parallel.

The value of $x$ is $x = \frac{62}{3}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The provided figure is

Two angles are provided having measures $58 °$ and $(3 x - 4) °$ .

Step 2. Definition of corresponding angles.

When two lines are crossed by another line, it is known as transversal.

Corresponding angles are angles that are at the same relative position at each intersection. The measure of two corresponding angles is equal.

Step 3. Calculation.

From the given diagram, angle $58 °$ and $(3 x - 4) °$ are corresponding angles. So, both the angles must be equal, that is, $(3 x - 4) {}^{\circ}= 58 °$ .

The value of $x$ is,

$\begin{matrix} (3 x - 4) ° = 58 ° \\ 3 x = 58 + 4 \\ 3 x = 62 \\ x = \frac{62}{3} \end{matrix}$

Step 4. Conclusion.

The value $x$ of is $x = \frac{62}{3}$ .

Most popular questions for Math Textbooks

Tell whether the angles are complementary, supplementary, or neither.

$\begin{matrix} m ∠ 5 = 24 ° \\ m ∠ 6 = 66 ° \end{matrix}$

Tell whether the angles are complementary, supplementary, or neither.

$\begin{matrix} m ∠ 5 = 58 ° \\ m ∠ 6 = 32 ° \end{matrix}$

In Exercise 3-6, match the description with correct value.

Measures of interior angles of a regular hexagon.

Tell whether the angles are complementary, supplementary, or neither.

$\begin{matrix} m ∠ 5 = 37 ° \\ m ∠ 6 = 53 ° \end{matrix}$

Tell whether the angles are complementary, supplementary, or neither.

$\begin{matrix} m ∠ 1 = 63 ° \\ m ∠ 2 = 27 ° \end{matrix}$

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