Answer:
Step-by-step explanation:
6x + 12 + 4x + 8 = 180 {Linear pair}
6x + 4x + 12 + 8 = 180 {Combine like terms}
10x + 20 = 180 {Subtract 20 from both sides}
10x = 180 - 20
10x = 160 {Divide both sides by 10}
x = 160/10
x = 16
m∠KLJ = 6*16 + 12
= 96 +12
= 108
m∠JLM = 4*16 + 8
= 64 + 8
= 72
You can see that the term
appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have

Now that we know the value of
, we can substitute in any of the equation to deduce the value of
: if we use the first equation, for example, we have

Square root (5-2)^2 +(4+3)^2
Square root of 3^2 +7^2
Square root of 9+49
Square root of 58
.75 75% 3/4 is the correct answer
Answer:
k = {3, 11}
Step-by-step explanation:
Taking the square root of the given equation, we find ...
x +k = ±4
For x = -7, this is ...
-7 +k = ±4
k = 7 ±4 = {3, 11}
Possible values of k are 3 and 11.