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Chapter 1: Q34. (page 16)

For the following figure, Eis the midpoint of DF¯. Find the value x, where DE=45andEF=5x−10

Short Answer

Expert verified

The value ofx is 11.

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:

45=5x−1045+10=5x55=5xx=11

Therefore, the value ofx is 11.

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