Use an indirect proof to complete the following problem.Given: (not shown)Prove: and cannot both be right angles.

What will be an ideal response?


Suppose that and are both be right angles. Then and .

By the Protractor Postulate, . Then . But this last

statement contradicts the fact that the sum of teh three interior angles of a triangle is exactly 180. Thus, the supposition must be false and it follows that and cannot both be right angles.


Mathematics

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The number   is an element in which of the following sets?

A. ?Set of whole numbers. B. ?Set of real numbers. C. ?{x | x is a rational number} D. ?Set of numbers that are divisible by 6. E. ?Set of rational numbers. F. b, c, and e

Mathematics

Evaluate the expression.

A.
B. 0
C. 1
D. 5

Mathematics

Use the product rule to multiply. Assume all variables represent positive real numbers. ? 

A.
B.
C.
D. x2 - 25

Mathematics

Provide an appropriate response.Solve:  -  = 1

Fill in the blank(s) with the appropriate word(s).

Mathematics