Answer:
2:15 p.m.
Step-by-step explanation:
Starting time 1:40 p.m.
Time on subway <u>+0:17
</u>
Time off subway 1:57 p.m.
Time walking <u>+0:18
</u>
Time at apartment 1:75
When the minutes are more than 60, you subtract 60 from the minutes and add 1 to the hours.
1 :75
+1<u> - :60
</u>
2 :15 p.m.
Daniel arrived at the apartment at 2:15 p.m.
So, this problem is asking us to find the value of our variable
u.
How can you do this? By isolating the variable, or having only it on one side of the equals sign.
Here's the step by step approach. It's just simple algebra and reverse order of operation (which is what you should do whenever you are solving for a variable).

Multiply both sides by 11 to get rid of the 11 denominator.

Then, subtract both sides by 88 to get u by itself.

Therefore, u is equal to 99.
Answer: 12 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

which would be

in sigma notation.
To do this, notice that the denominator in each term is a power of 2, starting with
and ending with
. So in sigma notation, this series is

Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
<u />
(Angle Sum Property Of Triangles)
(Remove the brackets)
<u />
<u />
(Group Accordingly)
<u />
<u />
= 
=

= 
= 
= 
= 
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57