Question

The triangle showen has a perimeter of 47 inches.Write an equation to find the value of x in the triangle. Then solve the equation

Answer 1

Equation:

$\boxed{P=3x+6}$

x-value:

$\boxed{x=\frac{41}{3}}$

Explanation:

Remember you should write complete questions in order to get excellent and precise answers. Anyway, I have attached an image below with a triangle. The perimeter (P) of a triangle is the sum of all three sides. So, from the graph, it is true that:

$P=(x+4)+(x+3)+(x-1) \\ \\ Combine  \ like \ terms: \\ \\ P=(x+x+x)+(4+3-1) \\ \\ P=3x+6 \\ \\ Equation: \\ \\ \boxed{P=3x+6}$

Solving x:

$P=47 \\ \\ 47=3x+6 \\ \\ 3x=47-6 \\ \\ 3x=41 \\ \\ \boxed{x=\frac{41}{3}}$

Lear more:

Area of triangle: https://brainly.com/question/9835350

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