romanescobedo romanescobedo
  • 24-02-2021
  • Mathematics
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If NML ~ SRL find the value of x.

If NML SRL find the value of x class=

Respuesta :

reeserl reeserl
  • 24-02-2021

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

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