Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:
6000 ft
Step-by-step explanation:
Let length of rectangular field=x
Breadth of rectangular field=y
Area of rectangular field=
square ft
Area of rectangular field=
Area of rectangular field=


Fencing used ,P(x)=
Substitute the value of y
P(x)=

Differentiate w.r.t x

Using formula:





It is always positive because length is always positive.
Again differentiate w.r.t x

Substitute x=1500

Hence, fencing is minimum at x=1 500
Substitute x=1 500

Length of rectangular field=1500 ft
Breadth of rectangular field=1000 ft
Substitute the values
Shortest length of fence used=
Hence, the shortest length of fence that the rancher can used=6000 ft
Step-by-step explanation:
6,5:5,2=8:6,4 hope it helps
Answer:
180°
Step-by-step explanation:
cos(x) = - 1 has only 1 solution in the required interval , that is
x =
(- 1) = 180°
3) This is definitely a positive association, but the question is - is it linear?
Since a somewhat straight line can be drawn through the points, it is linear.
<span>
Answer: positive linear association </span>
4) Find the slope using the formula

m = 43 - 48/ 4 - 2 = -5/2 = -2.5
Negative association, but is it linear? Lets find out
Oh no! It seems that their is not a pattern in the association, so its nonlinear!
Answer: Negative nonlinear association5) <span>

m = 80 - 66/ 5 - 3
m = 14/2
m = 7
Positive! But is it linear??
Let us draw a graph this time.
I know my graph is messy, but can you see the nonlinear-ness? It doesnt form a straight line!
Answer: Positive nonlinear association </span><span>Hope this helped. :) </span>