When lines are parallel...

Mathematics

1 answer:

Otrada [13]3 years ago

3 0

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

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Tell the maximum number of zeros that the polynomial function may have. then use descartes' rule of signs to determine how many

Marta_Voda [28]

F(x) = -4x^7 +x^3 -x^2 +5

a) It is a degree 7 polynomial, so will have 7 zeros (some may be repeated).

b) has 3 sign changes, so 1 or 3 positive real zeros. If odd powers have their signs reversed, the signs are changed to +--+, so there are 2 sign changes. There will be 0 or 2 negative real zeros.

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There is actually 1 positive real zero and 0 negative real zeros. This means there are 3 conjugate pairs of complex zeros.