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Chapter 12: Q18. (page 695)

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

Short Answer

Expert verified

The value of x is x=623.

Step by step solution

01

Step 1. Given Information.

The provided figure is

Two angles are provided having measures 58掳 and 3x-4掳.

02

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.

03

Step 3. Calculation.

From the given diagram, angle 58掳 and 3x-4掳 are corresponding angles. So, both the angles must be equal, that is, 3x-4=鈭�58掳.

The value of x is,

3x鈭�4掳=58掳3x=58+43x=62x=623

04

Step 4. Conclusion.

The valuex of is x=623.

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Most popular questions from this chapter

Find the measures of the numbered angles in the diagram.

Given:m鈭�1=43掳

Two 25.0-N weights are suspended at opposite ends of a rope that passes over a light, frictionless pulley. The pulley is attached to a chain from the ceiling.

(a) What is the tension in the rope?

(b) What is the tension in the chain?

Solve the equation by first clearing the fractions.

710x-15=38

Find the value of xin the figure. Then find the unknown angle measures.

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

m鈭�3=146掳m鈭�4=44掳
See all solutions

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