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B is the midpoint of AC and D is the midpoint of CE. Solve for x,
given BD - 3x + 3 and AE = 5x + 11.
PLEASE HELP FOR GEOMETRY

B is the midpoint of AC and D is the midpoint of CE Solve for x given BD 3x 3 and AE 5x 11 PLEASE HELP FOR GEOMETRY class=

Respuesta :

Step-by-step explanation:

Required Answer:-

ATQ

[tex]{:}\longrightarrow[/tex][tex]\sf 2BD=AE[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2 (-3x+3)=5x+11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -6x+6=5x+11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -6x-5x=11-6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -11x=5 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{-11}}[/tex]

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Answer:

  x = 5

Step-by-step explanation:

Midline BD is half the length of base AE, so we have ...

  2BD = AE

  2(3x +3) = 5x +11

  6x +6 = 5x +11 . . . eliminate parentheses

  x = 5 . . . . . . . . . subtract 5x+6

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