The shape of the resulting cross section of the hexagonal pyramid in the diagram given is: a hexagon.
<h3>What is Hexagonal Pyramid?</h3>
A hexagonal pyramid is a pyramid with six lateral faces and an hexagonal base.
In the diagram, the plane cuts each of the lateral faces of the pyramid, giving a resultant shape that has 6 sides and angles, which is a hexagon.
Thus, the cross section shape is: a hexagon.
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Answer:
x=3/8, y=-7/8. (3/8, -7/8).
Step-by-step explanation:
y=-5x+1
y=3x-2
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-5x+1=3x-2
-5x-3x+1=-2
-8x+1=-2
-8x=-2-1
-8x=-3
8x=3
x=3/8
y=3(3/8)-2=9/8-2=9/8-16/8=-7/8
Answer:
5:3
Step-by-step explanation:
16-(5+1)=10
Ratio is 10:6 reduced is 5:3
Answer:
Using the derived property of 2 similar triangle.
x/28 = 30/25
=> x = 30x28/25 = 33.6
D is correct
Answer:
Option A (k < -1).
Step-by-step explanation:
Enlargement is one of the linear transformations which changes the size of the shape formed by a combination of some points in the exact proportion. For enlargement (also called dilation), there are two parameters required: the center of enlargement, according to which the transformation occurs, and the scale factor, the size by which the transformation is done. The scale factor can be of any number k. If k is larger than 1 or -1, then it will cause enlargement. If k is between -1 and 1, it will cause anti-enlargement. The magnitude of k determines the size and the sign of k determines the direction. So in this case, k < -1 will cause the enlargement: even though the scale factor is less than -1, but it will enlarge the shape on the opposite direction. Option B and Option C cause anti-enlargement and Option D cause no enlargement or anti-enlargement. So Option A is the correct answer!!!
