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Chapter 1: Q38. (page 16)

For the following figure, Eis the midpoint of DF炉. Find the value y, where GE=3y, GH=7y鈭�4and EH=24

Short Answer

Expert verified

The value ofy is 7.

Step by step solution

01

Step 1. Apply the concept of the length of the line.

The total length of the line is the sum of the length of all parts of a line.

02

Step 2. Check the figure.

Consider the figure.

Here the length of GH is the sum ofGE and EH

03

Step 3. Find the value of  y.

Since GH=GE+EH

Equate the values as follows:

7y鈭�4=3y+24

04

Step 4. Simplify the equation.

Simplify the equation as follows:

7y鈭�4=3y+247y鈭�3y=24+44y=28

Divide the equation both sides by 4.

4y4=284y=7

Therefore, the value ofy is 7.

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