What properties or characteristics of similar triangles could be used to prove the pythagorean theorem?

Asystem of equations has 1 solution. if 4x-y=5 is one of the equations , which could be the other equation ?

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?

Given: jk ||lm prove: _2 = 27 statement justification 1. jk ||lm 1. given 2.26 = 27 3.22 = 26 2. 3. 4. _2 = 27 4. corresponding angles theorem transitive property of equality vertical angles theorem substitution property of equality