annamccurtis1
annamccurtis1 annamccurtis1
  • 09-07-2021
  • Mathematics
contestada

The two
triangles are similar.

What is the value of x?

Enter your answer in the box:

The two triangles are similar What is the value of x Enter your answer in the box class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 09-07-2021

Answer:

x = 5

Step-by-step explanation:

Sides of large triangle: 4x and 15

Corresponding sides of small triangle: 3x + 1 and 12

[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]

[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]

[tex] 16x = 15x + 5 [/tex]

[tex] x = 5 [/tex]

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