Answer:
10
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64+36 = c^2
100 = c^2
Take the square root of each side
sqrt(100) = sqrt(c^2)
10 = c
Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :

and replacing it in the equation, this becomes:

which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :

and replacing it in the equation, this becomes:

which is our second possible answer.
Then the set of solutions is: {-12, 12}
Step-by-step explanation:
1= 118°+angle 1=180°
angle 1= 180°-118°=62°
angle 2=180°-135°=45°
angle 3=135°