Question

Find EG (Line) Please Help :)


I know the answer is 18, but I don’t know how it’s 18

Answer 1

Answer:

The value of EG is 18.

Step-by-step explanation:

The provided information are:

$EH = 26 + x\\EG = x + 23\\FG = 14+ x\\FH = 12$

Step 1:

Compute the value of EF as follows:

$EF = EG - FG\\= x + 23 - 14 - x\\= 9$

So, EF = 9.

Step 2:

Compute the value of GH as follows:

$EH=EG+GH\\GH=EH-EG\\=26+x-x-23\\=3$

So, GH = 3.

Step 3:

Compute the value of FG as follows:

$FG+GH=FH\\FG=FH-GH\\=12-3\\=9$

Step 4:

Use the results from step 1 and 3 to compute the value of EG as follows:

$EG=EF+FG\\=9+9\\=18$

Thus, the value of EG in the line segment EH is 18.