The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
2 answers:
Answer:
D. Angles BAC and DCA are congruent by the Alternate interior angles theorem.
Step-by-step explanation:
Given ABCD is a parallelogram.
AB=CD and BC=AD
To prove that .
Proof: According to given information
and segment
.
Construct diagonal AC with a straightedge.
In
AC=AC
Reflexive property of equality.
By alternate interior angles theorem.
By alternate interior angles theorem.
By ASA( Angle-Side_Angle) theorem.
By CPCTC opposite sides AB and CD, as well as BC and DA are congruent.
Hence proved.
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Answer:
0.4167 is the probability of rolling a sum less than 7.
Step-by-step explanation:
We are given the following in the question:
Event: A standard pair of six-sided dice is rolled
A: rolling a sum less than 7
Sample space:
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
A:
{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}
Formula:
0.4167 is the probability of rolling a sum less than 7.