Question

1. if the perimeter of this triangle is 122 cm, form an equation in terms of x and solve for the unknown.

(image of a triangle with sides labeled (6x - 19), (3x + 17), and (2x + 3))

Explanation:

Step1: Sum all side lengths

$(2x+3)+(6x-19)+(3x+17) = 122$

Step2: Simplify left side

$2x+6x+3x+3-19+17 = 122$
$11x + 1 = 122$

Step3: Isolate the x term

$11x = 122 - 1$
$11x = 121$

Step4: Solve for x

$x = \frac{121}{11}$

Answer:

$x = 11$