Answer:
No because the angle of point C is NOT congruent to the angle of point A.
Step-by-step explanation:
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.
Answer:

Step-by-step explanation:
Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.
Therefore, we can set up the following equation to find the new balance after 2 years:

A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
Answer:
C) S = {F, PF, PPF, PPP}
Step-by-step explanation:
For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass
And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.
For this case the person can fail at the 1,2 or 3 try
For the case that fails at the 1 try we have F
For the case that fails at the 2 try we have PF
For the case that fails at the 3 try we have PPF
And the last option is that the person not fails at any try and we have PPP
So then the sample space would be given by:
C) S = {F, PF, PPF, PPP}
Answer:
10
Step-by-step explanation:
pythagorean theorem
8^2+6^2=c^2
64+36=c^2
100=c^2
square root both sides
10 = c