Respuesta :

Answer:

x = 5

Step-by-step explanation:

Since BD bisects AC and CE then it is a midline segment

As a consequence BD = [tex]\frac{1}{2}[/tex] AE, thus

3x + 5 = [tex]\frac{1}{2}[/tex](4x + 20) ← distribute

3x + 5 = 2x + 10 ( subtract 2x from both sides )

x + 5 = 10 ( subtract 5 from both sides )

x = 5


choixongdong

Answer:

x = 5

Step-by-step explanation:

B is midpoint of AC and D is midpoint of CE

so DB = 1/2 AE

Plug in

3x + 5 = 1/2(4x+20)

Multiply both sides by 2

2(3x+5) = 4x + 20

Distributive property

6x + 10 = 4x + 20

2x = 10

x = 5

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