The ratio of the number of tools victor has to the number of tools ilya has is 5: 2. victor has 42 more tools than ilya. how many tools should victor give to ilya so that the ratio of the number of tools victor has to the number of tools ilya has will be 3: 4?

The answer to your question is: 28 tools

Step-by-step explanation:

a)   Victor 5:2 Ilya

                                      5v = 2(v + 42)

                                      5v = 2v + 84

                                      5v - 2v = 84                  

                                      3v = 84

                                      v = 28

Victor has 70 and Ilya has 28

b)

                                              3(28 + v) = 4(70 - v)

                                              84 + 3v = 280 - 4v

                                             3v + 4v = 280 - 84

                                              7v = 196

                                                v = 28

Victor has to give 28 tools to Ilya so the ratio will be 3/4

Victor will have 42 tools and Ilya will have 56 tools

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.