Answer:
x = 54, so the vertical angles are 110°.
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
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<u>First line</u>:
m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0
The slope of the first line is zero.
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<u>Second line</u>:
m = (-5-1)/(4 -4) = -6/0 = undefined
The slope of the second line is undefined.
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It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.
Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.
Answer:
Step-by-step explanation:
Answer:
the bottom right
Step-by-step explanation:
Answer:
The length = The width = The height ≈ 5.8 cm
Step-by-step explanation:
The volume of a rectangular pyramid, V = l × w × h
The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200
∴ l × h + w × h + l × w = 200/2 = 100
We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;
At maximum volume, l = w = h
∴ l × h + w × h + l × w = 3·l² = 100
l² = 100/3
l = 10/√3
Therefore, the volume, v = l³ = (10/√3)³
The length = The width = The height = 10/√3 cm ≈ 5.8 cm
