catherine51 catherine51
  • 30-01-2019
  • Mathematics
contestada

What is the value of x?

Enter your answer in the box.
x =

What is the value of x Enter your answer in the box x class=

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 30-01-2019

Hello from MrBillDoesMath!

Answer:

x = 7



Discussion:

The small and large triangles are similar by AAA,  So the ratio of corresponding parts is the same:


(40 + 5) / 5  = (2x +3 + 10) /3        =>  

45/5    = (2x + 13) /3                      => 45/5 = 9; cross multiply by 3

9*3 = 2x + 13                                  => subtract 13 form both sides

9*3 - 13 = 2x      =>

27 - 13 = 2x =>

14        = 2x =>

x = 7

Thank you,

MrB

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