Determine Whether Each of the Following "Theorems" Is True or False

question 32

True/False

determine whether each of the following "theorems" is true or false. Assume that a, b, c, d,
and m are integers with m > 1.
- $$\text { If } a \equiv b ( \bmod m ) \text {, and } a \equiv c ( \bmod m ) \text {, then } a \equiv b + c ( \bmod m ) \text {. }$$

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Definitions:

Anticline

A type of fold in the Earth's crust that is convex up and has its oldest beds at its core.

Joint

A fracture or separation in rock in which there has been no significant movement of the sides relative to one another.

Geologic Processes

The natural mechanisms through which Earth's surface is shaped and changed over time, including erosion, sedimentation, and tectonic movements.

James Hutton

Often referred to as the "Father of Modern Geology," he was an 18th-century Scottish scientist who proposed the principle of uniformitarianism.