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Chapter 1: Q36. (page 16)

For the following figure, Eis the midpoint of DF¯. Find the value x, where DE=2x−3and EF=5x−24

Short Answer

Expert verified

The value ofx is 7.

Step by step solution

01

Step 1. Apply the concept of midpoint.

The midpoint of a line divides the line into two equal parts.

02

Step 2. Check the figure.

Consider the figure.

Here Eis the midpoint of DF¯.

Therefore DE=EF.

03

Step 3. Find the value of x.

Since DE=EF.

Equate the values as follows:

2x−3=5x−24

04

Step 4. Simplify the equation.

Simplify the equation as follows:

2x−3=5x−242x−5x=−24+3−3x=−21x=7

Therefore, the value ofx is 7.

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