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Q34.

If BE is the bisector of AD then:

2x - 5 = 5x - 20     |+5

2x = 5x - 15    |-5x

-3x = -15    |:(-3)

x = 5

Q35.

If BE is the bisector of AD, then

5x + 4 = 2x + 7     |-4

5x = 2x + 3     |-2x

3x = 3    |:3

x = 1

Bisect means to cut something into two equal halves. This means that the two lengths are the same.

34.) [tex]2x - 5 = 5x - 20[/tex]

First isolate the variable. Add 5 to both sides:

[tex]2x = 5x - 15[/tex]

Now subtract 5x from both sides:

[tex]-3x = -15[/tex]

x = 5

35.) [tex]5x + 4 = 2x + 7[/tex]

--> [tex]5x = 2x + 7 - 4[/tex]

---> [tex]5x = 2x + 3[/tex]

----> [tex]5x - 2x = 3[/tex]

-----> [tex]3x = 3[/tex]

So x = 1

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