This is essentially asking how many different ways to partition 6 into 3 segments.
I am assuming "no ball in a box" is not allowed.
6 can be partitioned as
(4,1,1), (3,2,1), and (2,2,2)
So, calculate each partition, we get
(6 choose 4) + (6 choose 3)*(3 choose 2) + (6 choose 2) * (4 choose 2)
= 15 + 20*3 + 15*6
=165
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:

Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is

Substituting the algebraic expressions for both angles:

Subtracting 8.6 and 3.5x:

Operating:


The two angles are:


As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:


Answer:
36.8 minutes or 36 minutes 48 seconds
Step-by-step explanation:
8 percent of 40 is 3.2
(.08 times 40)
40 minus 3.2 is 36.8 :)
(.8 times 60 is 48)
Answer:
3
Step-by-step explanation:
Given the complex number z = a + bi then the absolute value is
| z | = 
Given - 4 -
i, then absolute value is

= 
=
=
= 3