Step-by-step explanation:
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Answer:
Step-by-step explanation:
a). There are 8 points in the figure attached.
b). There are 9 lines in the given figure.
c). There are 5 planes in the figure attached.
d). Three collinear points are D,G and F.
e). Four co-planar points are G, F, H and C.
f). Intersection of planes ABC and ABE is the common line AB.
g). Intersection of planes BCH and DEF is the common line EF.
h). Intersection of AD and DF is a point D.
Recall that the centroid of a triangle (the point where the three medians intersect) divides each median into parts in the ratio 2:1, with the
centroid being twice as close to the midpoint of a side as it is to the
opposite vertex.
Thus, the ratio of segment EG to segment BG is 1 : 2
Therefore, given that segment EG = 27 in, then segment BG = 2(27) = 54 in. and segment BE = 27 + 54 = 81 in.
Answer:
<h2>y = 1</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
We have <em>m = 0, (3, 1) → x₁ = 3, y₁ = 1</em>.
Substitute:
<em>add 1 to both sides</em>
Other method.
If the slope is equal 0, then it's a horizontal line.
The equation of a horizontal line: <em>y = a</em>.
We have the point on a line (3, 1) → x = 3, y = 1.
Therefore the equation is <em>y = 1</em>.
