By definition of independence, and
are independent if
. So neither the second nor third options can possibly be correct.
We have
which are not equal, so no, and
are not independent because the probabilities are not equal (last option).
-48 ÷ [-3 (2 - 4) ] = ?
1 answer:
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<h3>Answer: B) ASA</h3>
Explanation:
AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.
Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.
So far we have two pairs of congruent angles.
The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.
So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.
Answer:
The angle W is approximately 7°.
Step-by-step explanation:
Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:
(1)
Where:
- Side lengths, in centimeters.
- Angle, in sexagesimal degrees.
If we know that ,
and
, then the length of the side x is:
By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:
(2)
If we know that ,
and
, then the angle W is:
Hence, the angle W is approximately 7°.