shainaherx shainaherx
  • 22-06-2022
  • Mathematics
contestada

Which of the following statements must be true about this diagram? Check all that apply.
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Which of the following statements must be true about this diagram Check all that apply class=

Respuesta :

TalShmueli
TalShmueli TalShmueli
  • 22-06-2022

Answer:

b,c,f

Step-by-step explanation:

in a triangle, the sum of all angles is 180°

on a straight line, the sum of all angles is also 180°

so we get:

[tex]x + y + z = 180 \\ w + z = 180[/tex]

and then this (there is a theorem about this, but the proof is simple enough):

[tex]w = x + y[/tex]

since x, y, w are positive values:

[tex]w > y \\ w > x[/tex]

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