What is the product ? (9t-4)(-9t-4)
2 answers:
You might be interested in
Answer:
a)
b)
c) We want to find a value c who satisfy this condition:
And using the cumulative distribution function we have this:
And solving for c we got:
Step-by-step explanation:
For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:
Part a
We want this probability:
And for this case we can use the cumulative distribution function given by:
And using the cumulative distribution function we got:
For the probability if we use the cumulative distribution function and the complement rule we got:
Part b
We want this probability:
And using the cdf we got:
Part c
We want to find a value c who satisfy this condition:
And using the cumulative distribution function we have this:
And solving for c we got:
Answer:
The correct option is;
C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality
Step-by-step explanation:
The two column proof can be written as follows;
Statement, Reason
1. , Given
2. is a transversal , Conclusion from statement 1.
We note that ∠BDE and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles.
Therefore, we have;
3. ∠BDE ≅∠BAC, Corresponding Angles Postulate
Also
4. ∠B ≅ ∠B, Reflexive Property of Equality
In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,
From ∠BDE + ∠B + ∠BED = 180°
∠BAC + ∠B + ∠BCA = 180°
Therefore, ∠BED = ∠BCA Substitution property of equality
Which gives;
5, ΔABC ~ ΔDBE, Angle Angle Similarity Postulate
6. BD/BA = BE/BC, Converse of the Side-Side-Side Similarity Theorem