Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations to their solutions.
2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x - 2y = -7
x = 2, y = 7
x = 5, y= 2
x= 3, y=5
x = 7, y=3

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.