The answer is 85.Alternate Interior angles theorem.
Can you please explain what you said
Answer:
Step-by-step explanation:
Given
Required
Show that these two lines have no point of intersection
The general equation of a line is
Where m represents slope
In
Similarly; in
Since the slope of both lines are equal;
<em>This implies that the lines are parallel and parallel lines have no point of intersection</em>
<em></em>
<em>See Attachment for Graph</em>
<u>Part a)</u> if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?
Let
x---------> the percent enlargement
we know that
the original size is the 100%
so
x*80%=100%
x=(100%/80%)
x=1.25--------> 1.25=(125/100)=125%
therefore
<u>the answer Part a) is</u>
the percent enlargement is 125%
<u>Part b)</u> Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original
we know that
A photocopy machine can reduce copies to 80% of their original size
so
Copy N 1
0.80*100%=80%
Copy N 2
0.80*80%=64%
Copy N 3
0.80*64%=51.2%
Copy N 4
0.80*51.2%=40.96%
Copy N 5
0.80*40.96%=32.77%
Copy N 6
0.80*32.77%=26.21%
Copy N 7
0.80*26.21%=20.97%
Copy N 8
0.80*20.97%=16.78%
Copy N 9
0.80*16.78%=13.42%-------------> 13.42% < 15%
therefore
<u>the answer Part b) is</u>
the number of times in succession is 9
The total tickets to be purchased to guarantee the win = 504 tickets
Step-by-step explanation:
Step 1 :
Number of entries in the trifecta race = 9
The win is to select the first finisher, second finisher and third finisher in their proper order.
We need to find the number of tickets to be purchased to guarantee the win
Step 2 :
Number of ways to select the first finisher = 9
Number of ways to select the second finisher = 8 [the first is selected and fixed. So the number of available finishes is reduced by 1]
Number of ways to select the third finisher = 7
Hence the total tickets to be purchased to guarantee the win = 9 × 8 × 7 = 504
Step 3 :
Answer :
The total tickets to be purchased to guarantee the win = 504 tickets
