Use an indirect proof to complete the following problem.Given:
and
are supplementary (no drawing)Prove:
and
are not both obtuse angles.
What will be an ideal response?
It follows that . But it is given that
and
are supplementary, so that
.
With a contradiction of the known fact, it follows that the supposition must be false; thus, and
are not both obtuse angles.
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Solve the problem.The following map shows the states Idaho, Montana, Wyoming, Colorado, Utah, and Nevada. Find a route that starts and ends in Colorado and crosses each common state border exactly one time.
A. No such route exists. B. CO ? UT ? NV ? ID ? MT ? WY ? ID ? UT ? WY ? CO C. CO ?WY ? MT ? ID ? NV ? UT ? CO D. CO ?WY ? ID ? MT ? WY ? ID ? UT ? CO
Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.-6i,
A. f(x) = x4 - 29x2 - 252 B. f(x) = x4 + 29x2 - 252 C. f(x) = x4 - 58x2 + 252 D. f(x) = x4 + 58x2 + 252
Write the fraction in lowest terms. Use the method of dividing by a common factor.-
A. -
B. -
C. -
D. -
Divide. Assume all variables are nonzero.
A.
B.
C.
D. x3y5