For the first one, you did good. I will just suggest a couple things.
Statement Reason
JK ≅ LM Given
<JKM ≅ < LMK Given (You did both of these steps so well done.)
MK ≅ MK Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)
ΔJMK ≅ ΔLKM SAS
Problem 2: (You also have a lot of great stuff here.)
Statement Reason
DE ║ FG Given
DE ≅ FG Given
<DEF≅<FGH Given
<EDF≅<GFH Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)
ΔEDF≅ΔGFH ASA
<DFE≅<FHG CPCTC
Find attached a graph that I constructed.
To do that graph I used Excel.
First I did a table with this set of points:
<span><span><span>height presuure
</span>
<span>
miles psi
</span>
<span>
0
14,7
</span>
<span>
<---- initial data
3.6 7.35
</span>
<span>
<--- increase hegiht 3.6 miles => half pressure
7.2
3.675
</span>
<span>
<---- second increase of 3.6 miles in height
10. 8
1.8375
</span>
<span>
<---- third increase of 3.6 miles in height
14.4
0.91875
</span>
<span>
18 0.459375
</span>
</span></span>
Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and 
be the sample proportion .
As per given question , we have
z-score : 
The required probability ( using z-table ):-
Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
Since you have y alone on one side of the equation......
Use substitution and plug in 1/2x-4 for y in the other equation.
Distribute
Combine like terms
Add 8 to both sides
Divide by 4
and 
Plug this value in for x
Simplify
Multiply everything by 8 and simplify
Divide.....
Your answers are:
Answer:
-1
Step-by-step explanation:
A = (0,0)
B = (1,-1)
Slope = (-1-0)/(1-0) = -1/1 = -1
