Answer:
m∠JLN = 42°
m∠MLK = 90°
m∠KLO = 42°
m∠JLO = 138°
m∠AGE = 160°
Step-by-step explanation:
m∠JLN = 
°
m∠MLK = 90°
m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)
m∠JLO = 
°
For the second question, things become somewhat more complex.
We know that ∠GHD = 
° and ∠AGH 
°.
You correctly calculated that 
°.
∠AGE is equal to both 
° and 
°. Either equation will work just fine.
∠AGE = 
°
So m∠AGE = 160°
F (x)=y
y=2x-9
X Y
-2 -15 y=2 (-2)-9
y=-4+-9
y=-15
-1 -11 y=2 (-1)-9
y=-2+-9
y=-11
0 -9 y=2 (0)-9
y=0+-9
y=-9
1 -7 y=2 (1)-9
y=2+-9
y=-1
2 -5 y=2 (2)-9
y=4+-9
y=-5
Here is all the work
The estimate for the total population size is 1600.
Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:
150/300 = 800/x
Cross multiply:
150*x = 300*800
150x = 240000
Divide both sides by 150:
150x/150 = 240000/150
x = 1600
