Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required number line is not included in the question.
A general explanation is as follows:
An open circle means > or <
A closed circle means >= or <=
Take, for instance, the attached number line:
The open dot on -3 means >-3 or <-3
The arrow points to the right direction, means >-3 i.e. greater than -3
Hence, the inequality is:
Option B: and
, so
is supplementary to both
and
, so EFGH is a parallelogram.
Option C: so EFGH is a parallelogram.
Option D: so EFGH is a parallelogram.
Explanation:
Option A: and
so
is supplementary to both
and
, so EFGH is a parallelogram
Let us substitute and
in
,
and
to determine the exact measures the angles of the parallelogram.
Substituting, we get, ,
Thus, because the measures of these angles are not equal.
Hence, Option A is not the correct answer.
Option B: and
, so
is supplementary to both
and
, so EFGH is a parallelogram.
Let us substitute and
in
,
and
to determine the exact measures the angles of the parallelogram.
Thus, substituting, we have, ,
Hence, Option B is the correct answer.
Option C: so EFGH is a parallelogram.
To determine the angles, let us substitute in
and
Thus,
Since, the opposite angles of a parallelogram are equal, EFGH is a parallelogram.
Hence, Option C is the correct answer.
Option D: so EFGH is a parallelogram.
Let us substitute and
in
,
and
to determine the exact measures the angles of the parallelogram.
Substituting, we have, ,
Adding the angles E and G, we have,
By the property of parallelogram, any two adjacent angles add upto 180.
Thus, the adjacent angles E and G add upto 180.
Hence, Option D is the correct answer.