Two angles and a non included side of one triangle must be congruent to two angles and the corresponding non included side of the other triangle. which method of congruence is this?

AAS theorem

Step-by-step explanation:

We know that the AAS (angle-angle-side) theorem says that when two angles and any side of a triangle are congruent to two angles and any side of other triangle, then the triangles are said to be congruent.

Since the theorem is applicable for any pair of congruent angles either included or non - included.

Therefore, the given statement "Two angles and a non included side of one triangle must be congruent to two angles and the corresponding non included side of the other triangle. "  represents AAS theorem of congruence.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.