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Chapter 1: Q33 (page 16)

For the following figure, E is the midpoint DF炉. Find the value x, where DE=5x+3and EF=33.

Short Answer

Expert verified

The value of x is 6.

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 E is the midpoint of DF炉.

Therefore DE=EF.

03

Step 3. Find the value of x.

Since DE=EF.

Equate the values as follows:

33=5x+333鈭�3=5x30=5xx=6

Therefore, the value of x is 6.

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