lilantonio233 lilantonio233

23-08-2021
Mathematics

contestada

A triangle has side lengths of 2x , x + 4, and 3 (x + 3). Find the value of x if the perimeter of the triangle is 55 inches.

Respuesta :

bayan00 bayan00

23-08-2021

Answer:

x=7

Step-by-step explanation:

55=2x+(x+4)+[3(x+3)]

55=2x+x+4+3x+9

55=6x+13

55-13=6x

42=6x

7=x

Answer Link

mhanifa mhanifa

23-08-2021

Answer:

7 inches

Step-by-step explanation:

Perimeter is the sum of side lengths:

P = 2x + x + 4 + 3(x + 3)
P = 55

Solve for x:

2x + x + 4 + 3(x + 3) = 55
3x + 4 + 3x + 9 = 55
6x + 13 = 55
6x = 55 - 13
6x = 42
x = 42/6
x = 7

Answer Link

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