Answer:
The answers to the first question are A,C,D
The answer to the second question is YZ=16
Step-by-step explanation:
(1st Question)
Since <K and <M Are equal, and both <L's are equal, KL and ML are congruent (Answer choice) because of the ASA postulate.
You need to create the following equation to find the length of KN and MN 7x-4=5x+12
(Get the "x" variable to one side)
2x-4=12
(Isolate the variable)(Remove the 4)
2x=16
(Divide the 2 by itself to remove it from the x, remember to divide both sides by 2)
x=8 (Answer Choice)
Plug in the x value into each equation
KN= 7(8)-4
KN= 56-4
KN= 52
MN= 5(8)+12
MN= 40+12
MN= 52 (Answer Choice)
MN=KN
(Second Question)
Since XWY(20) is half of XWZ(40), ZWY also equals 20.
This now proves the triangle is congruent by the AAS postulate.
Since the triangles are congruent, if XY = 16, YZ also equals 16.
Answer:
40 units
Step-by-step explanation:
On the number line, the distance between x and y is given by
|x-y|.
To find the distance between -70 and -30 on the number line, we find the absolute value of their difference.
Therefore the distance between -70 and -30 on the number line is 40 units.
K (-3,-3)
L (1,-1)
M (-1,-5)
N (-5,-7)
In general, for these kinds of problems, repeatedly subtract 360 degrees until you get something that lies between 0 and 360 degrees, since two coterminal angles will always differ by some multiple of 360 degrees.
In this case, our desired angle is 495-360=135 degrees.