math 1: equations and inequalities, word problems, and lines and angles Flashcards
in solving a linear inequality,, if you cross multiply you must consider two cases, in which x is either
positive or negative (this changes the signs)
if the discriminant is equal to zero the two roots are
-b/2a with multiplicity two
if d is greater than zero and is not a perfect square you hve
2 unequal irrational roots
distance =
rate x time
r =
d/t
t =
d/r
sometimes, the word speed is used instead of
rate
if the sum of the measures of two angles, is 180 degrees, the angles are
supplementary
if the sum of the measures of two angles is 90 degrees, the angles are
complementary
the sum of the measures of all nonoverlapping angles around a point is
360 degrees
vertical angles have
equal measures
if a pair of parallel lines is cut by a transversal that is perpendicular to the parallel lines, all eight angles are
right angles
(if a pair of parallel lines is cut by a transversal that is not perpendicular to the parallel lines) four of the angles are … and four are …
acute; obtuse
(if a pair of parallel lines is cut by a transversal that is not perpendicular to the parallel lines) all four acute angles are
congruent
(if a pair of parallel lines is cut by a transversal that is not perpendicular to the parallel lines) all four obtuse angles
are congruent