If NML ~ SRL find the value of x.

Answer:
x = 5
Step-by-step explanation:
Since the triangles are similar, corrresponding sides are in proportion.
[tex]\frac{NM}{SR} = \frac{ML}{RL} = \frac{NL}{SL}[/tex]
Using the equation formed by the second and third fraction above we get
[tex]\frac{28}{24} = \frac{3x - 1}{x + 7}[/tex]
28(x + 7) = 24(3x - 1)
28x + 196 = 72x - 24
44x = 220
x = 5