Alright.
So let's say the number of adults is x.
Therefore, the number of boys is 7x + 1.
And then the total amount of girls is 3.5x + 0.5
So then:
x + 7x + 1 + 3.5x + 0.5 = 82
11.5x + 1.5 = 82
11.5x = 80.5
x = 7
So now we can figure out the number of male and female students.
Male students = 7x + 1
7*7 + 1
49 + 1
50
Male Students = 50
Female students = half of 50
50/2 = 25
Female Students = 25
<span>(16)m=−7,</span><span>b=2</span> where m is the slope and b is the y-intercept
(17)<span>m=5,</span><span>b=4</span> where m is the slope and b is the <span>y-intercept
(18)</span><span><span>m=−1,</span><span>b=9</span> where m is the slope and b is the y-intercept
</span>(19)<span><span>m=<span>15</span>,</span><span>b=0</span> where m is the slope and b is the y-intercept
(20)</span><span><span>m=−<span>23</span>,</span><span>b=1</span> where m is the slope and b is the <span>y-intercept
</span>(21)</span><span>m=<span>43</span>,</span><span>b=−5</span> where m is the slope and b is the <span>y-intercept</span>
Melanie said:
Every angle bisector in a triangle bisects the opposite side perpendicularly.
A 'counterexample' would show an angle bisector in a triangle that DOESN'T
bisect the opposite side perpendicularly.
See my attached drawing of a counterexample.
Both of the triangles that Melanie examined have
equal sides on both sides
of the angle bisector. That's the only way that the angle bisector can bisect
the opposite side perpendicularly. Melanie didn't examine enough different
triangles.