madelinegirl12
madelinegirl12 madelinegirl12
  • 03-10-2019
  • Mathematics
contestada

Points A,B,C,and D are collinear and positioned in that order. Solve for x. AB=2x + 30, AD= x + 32, CD= 8, and BC= 5

Respuesta :

calculista
calculista calculista
  • 10-10-2019

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

we know that

Points A,B,C,and D are collinear and positioned in that order

so

AD=AB+BC+CD -----> by addition segment postulate

we have

[tex]AB=2x+30\\AD=x+32\\CD=8\\BC=5[/tex]

substitute the given values and solve for x

[tex]x+32=(2x+30)+5+8[/tex]

Combine like terms right side

[tex]x+32=(2x+43)[/tex]

Group terms that contain the same variable

[tex]2x-x=32-43[/tex]

[tex]x=-11[/tex]

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