Final answer:
To list the sides of a triangle in order from least to greatest, determine the values of the angles and compare them to determine the order of the sides.
Step-by-step explanation:
To list the sides of ΔSTU in order from least to greatest, we need to determine the values of the angles ∠S, ∠T, and ∠U. Then, we can compare these values to determine the order of the sides.
We are given that ∠S = 7x - 36, ∠T = 5x - 1, and ∠U = x + 9.
Given the angles, we can compare their expressions to determine the order. Let's solve each expression for x:
∠S = 7x - 36
∠T = 5x - 1
∠U = x + 9
Now, we can compare the expressions to determine the order. After finding the value of x, substitute it back into each expression to get the values of the angles. Then, we can list the sides of the triangle in order from least to greatest.