An exterior angle is equal to the sum of the two opposite inside angles.
T + 31 = t + t-29
Simplify:
T + 31 = 2t -29
Add 29 to both sides:
T + 60 = 2t
Subtract 1t from both sides:
T = 60
Answer:
Step-by-step explanation:
the slope of -9 is -9/1
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form 
where 
affects how "fat" or "skinny" the parabola is and 
is the vertex. Therefore, the vertex is 
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as 
for a parabola with a vertical axis. Hence, the axis of symmetry is 
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is 
.
The interval where the function is decreasing is 
The interval where the function is increasing is 
Answer:
A. 5.75
Step-by-step explanation:
11.5/2 = 5.75
Answer:
a. 25
Step-by-step explanation:
Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:
3x = x + 50
Subtract x from both sides to isolate the x:
3x (-x) = x (-x) + 50
3x - x = 50
2x = 50
Isolate the x, divide 2 from both sides:
(2x)/2 = (50)/2
x = 50/2
x = 25
x = 25, or (a) 25 is your answer.
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