The sum of two numbers is 44. one number is 2 more than twice the other. write a system of equations that defines this situation and solve using any method.

System: x + y = 44; x = 2y + 2

Solve with substitution: x = 30; y = 14

x + y = 44
x = 2y + 2

Substitute 2y + 2 for x

2y + 2 + y = 44

3y + 2 = 44

Subtract 2 on both sides.

3y = 42

y = 14

Now substitute back in.

x + 14 = 44

Subtract 14 on both sides.

x = 30

9514 1404 393

  obtuse

Step-by-step explanation:

If the triangle were a right triangle, the longest side would be found using the Pythagorean theorem:

  a² + b² = c²

  4.5² + 6² = c² = 20.25 +36 = 56.25

  c = √56.25 = 7.5

At 8.5 cm, the longest side is longer than that necessary to make a right triangle, so the largest angle is greater than 90°.

Stephanie's triangle is an obtuse triangle.