Find AE in the parallelogram, if BD = 12, and AC = 18
1 answer:
See the picture in the attached figure
we know that
2) Opposite angels are congruent (D = B).
3) Consecutive angles are supplementary (A + D = 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.
so
if t</span></span>he diagonals of a parallelogram bisect each other
then
AE=EC
AC=AE+EC------> AC=2*AE----> AE=AC/2----> AE=18/2----> AE=9 units
the answer is
AE=9 units
we know that
There are six important properties of parallelograms to know:
<span>1) Opposite sides are congruent (AB = DC).2) Opposite angels are congruent (D = B).
3) Consecutive angles are supplementary (A + D = 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.
so
if t</span></span>he diagonals of a parallelogram bisect each other
then
AE=EC
AC=AE+EC------> AC=2*AE----> AE=AC/2----> AE=18/2----> AE=9 units
the answer is
AE=9 units
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Answer:
(d) -11
Step-by-step explanation:
Each of the functions is evaluated in the usual way: put the number where the variable is in the expression and simplify.
h(-1) = -2(-1)² -3(-1) +1 = -2 +3 +1 = 2
f(2) = (2(2) +7)/(2 -3) = 11/-1 = -11
Then f(h(-1)) is ...
f(h(-1)) = f(2) = -11
