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Chapter 1: Q37. (page 16)

For the following figure, Eis the midpoint of DF炉. Find the value y, where GE=y, EH=y鈭�1andGH=11

Short Answer

Expert verified

The value ofx is 6.

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 GHis the sum of GE andEH

03

Step 3. Find the value of y.

SinceGH=GE+EH

Equate the values as follows:

11=y+y鈭�111=2y鈭�1

04

Step 4. Simplify the equation.

Simplify the equation as follows:

11=2y鈭�111+1=2y12=2yy=6

Therefore, the value ofyis 6.

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