What is the value of x? enter your answer in the box. x =

Hello from MrBillDoesMath!

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

english, cause i can’t you