Respuesta :

wegnerkolmp2741o

Answer:

x=19

Step-by-step explanation:

The perimeter of the right triangle is

P=9+12+15 =36

The perimeter of the left triangle is

P =x-7+ x-7+ x-7 = 3x-21

Set them equal

36 = 3x-21

Add 21 to each side

36+21 = 3x-21+21

57 = 3x

Divide each side by 3

57/3 = 3x/3

19 =x

snog

Answer:

[tex]x=19[/tex]

Step-by-step explanation:

The perimeter of a shape is the sum of all of its side lengths. Therefore, the perimeter of the first triangle is [tex]x-7+x-7+x-7=3x-21[/tex] and the perimeter of the second triangle is [tex]9+15+12=36[/tex].

We are given that the perimeters of the triangles are equal, so [tex]3x-21[/tex] equals [tex]36[/tex]. As an equation, that would be [tex]3x-21=36[/tex]. Solving for [tex]x[/tex], we get:

[tex]3x-21=36[/tex]

[tex]3x=57[/tex] (Add [tex]21[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]x=19[/tex] (Divide both sides of the equation by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)

Hope this helps!

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