holasoyficharoja123
holasoyficharoja123 holasoyficharoja123
  • 28-01-2021
  • Mathematics
contestada

what is the answer to this?

what is the answer to this class=

Respuesta :

jimrgrant1 jimrgrant1
  • 28-01-2021

Answer:

y = 3, TU = 6

Step-by-step explanation:

SU is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{SV}{ST}[/tex] = [tex]\frac{VU}{TU}[/tex] , substitute values

[tex]\frac{24}{4y-2}[/tex] = [tex]\frac{14.4}{2y}[/tex] ( cross- multiply )

14.4(4y - 2) = 48y

57.6y - 28.8 = 48y ( subtract 48y from both sides )

9.6y - 28.8 = 0 ( add 28.8 to both sides )

9.6y = 28.8 ( divide both sides by 9.6 )

y = 3

Then

TU = 2y = 2 × 3 = 6

Answer Link

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