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A triangle has side lengths of (5.5x + 6.2y) cm, (4.3x + 8.3z) cm, and (1.6z - 5.1y) cm. Which expression represents the perimeter, in centimeters, of the triangle?

Respuesta :

theleangreenbean

Answer:

9.8x+1.1y+9.9z

Step-by-step explanation:

Hi there!

Perimeter = Sum of all sides

[tex]P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z - 5.1y)[/tex]

Open up the parentheses

[tex]P=5.5x+6.2y+4.3x+8.3z+1.6z-5.1y[/tex]

Combine like terms

[tex]P=5.5x+4.3x+6.2y-5.1y+8.3z+1.6z\\P=9.8x+1.1y+9.9z[/tex]

Therefore, the expression 9.8x+1.1y+9.9z (cm) best represents the perimeter of the triangle.

I hope this helps!