Question

Triangle ABC is similar to Triangle XYZ. AB=5x+25, BC=7x+44, YZ=29, XZ=45, XY=14 Find x

Answer 1

Answer: The fraction -109/47 (see note below)

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Step-by-step explanation:

Triangle ABC is similar to Triangle XYZ. This means that
AB/BC = XY/YZ
is one proportion we can form

Plug in the given expressions and then isolate x
AB/BC = XY/YZ
(5x+25)/(7x+44) = 14/29
29(5x+25) = 14(7x+44)
29(5x)+29(25) = 14(7x)+14(44)
145x+725 = 98x+616
145x-98x = 616-725
47x = -109
x = -109/47

note: its possible your teacher made a typo since we got a negative fraction here. I would ask your teacher to double check.