Answer:
If DF is the angle bisector, that means that m∠ADF = m∠FDE so we can write:
9x - 1 = 8x + 3
x = 4°
Answer:
<1 and <6 = 98
<2 and <3 = 139
<4 and <5 = 123
Step-by-step explanation:
82 + 9x - 6 + 6x - 1 = 180
15x + 75 = 180
15x = 105
x = 7
<1:
x + 82 = 180
x = 98
<2:
6x - 1 = 6(7) - 1 = 41
x + 41 = 180
x = 139
<3 = <2 because of vertical angle thm so <3 = 139
<5:
9x - 6 = 9(7) - 6 = 57
x + 57 = 180
x = 123
<4 = 5 because of vertical angle thm
<6 = <1 because of vertical angle thm
Collect like terms (x + 7x) + (-1 + 4 - 3)
Simplify
Answer: 8x
Answer:
see below for a graph
Step-by-step explanation:
The first inequality does not include the "equal to" case, so its boundary is graphed with a dashed line. If we consider only the y term, we have y < ..., so the shading is below the line.
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The second inequality includes the "equal to" case, so its boundary line is solid. Again, considering only the y-term, we have y ≥ ..., so the shading is above the line.
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We find that points (-6, 0) and (0, 6) will satisfy both inequalities, as will any point in the doubly-shaded area.
Answer:
Step-by-step explanation:
To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:
So, the average rate of change of:
Over the interval
Is:
Therefore, the average rate of change of this function over that interval is 3.