Question

What is the value of x?

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x =

Answer 1

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