Answer:
85° and 95°
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
Answer:
Slope = 
Step-by-step explanation:
(5 , -2) ; (-3, 4)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B4-%5B-2%5D%7D%7B-3-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%2B2%7D%7B-3-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%7D%7B-8%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3%7D%7B4%7D%5C%5C%5C%5C)
Take derivitive
note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of

so
the derivitive of
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get

slope=1/pi
use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)
y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1
4p-13p-p=-150
-9p-p=-150
-10p=-150
<u>p=15
Order of operations. Doing so turns it into a simple division equation.</u>