Answer:
The angle ZLK has a value of 75 degrees.
Step-by-step explanation:
We can calculate this as:

We replace the angles values in the equation, as both angles that are formed with Z (MLZ and ZLK), when added, gives as the angle MLK. This allows us to calculate x. The value for x is -11.
Then, with the value for x we can calculate any of both angles.
Answer:
The final temperature for the day was -16 degrees.
Step-by-step explanation:
6-12= -6
-6-10= -16
1. Selection B is the only equation satisfied by both (0, 5) and (2, -1).
2. Selection D is the only one with a slope of 5/2.
Answer:
88 lbs
Step-by-step explanation:
22+22(3)=88
Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33