Answer:
Step-by-step explanation:
Let the third side is x.
<u>According to Triangle-angle-bisector theorem, we have the possible ratios:</u>
or
<u>Solve for x in each case:</u>
1)
2)
Answer:
Pr(the sum of the numbers rolled is either a multiple of 3 or an even number)=
Step-by-step explanation:
Let A be the event "sum of numbers is multiple of 3"
and B be the event "sum is an even number".
As our dice has six sides, so the sample space of two dices will be of 36 ordered pairs.
|sample space | = 36
Out of which 11 pairs have the sum multiple of 3 and 18 pairs having sum even.
So Pr(A)= 
and Pr(B)= 
and Pr(A∩B) =
, as 5 pairs are common between A and B.
So now Pr(A or B)= Pr(A∪B)
= Pr(A)+Pr(B) - Pr(A∩B)
=
+
- 
= 
= 
Answer:
diamond I think not 100% sure but I looked it up
Answer:
(A)
Step-by-step explanation:
To be honest, since all of them are different, as long as you get the first one right, you will get the others right. A is your answer, for the following reasons:
Reflexive Property: The Reflexive property states that the mirrored version of itself will always be congruent with itself. Generally, to make it easier, they will write it opposite (as they did in the given proof):
<em>line</em> AC ≅ <em>line</em> CA
~