When you have to describe a 3D shape you have to keep the following definitions in mind:
<em>1. The face of a 3D shape is a flat surface.</em>
The shape on the picture has 3 rectangular faces and 2 triangular faces, a total of 5 faces.
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<em>2. The edge is where two faces meet.</em>
For the shape on the picture, there are 3 edges, where the rectangular faces meet each other, and then three edges where the rectangular faces meet each of the triangular faces, this shape has a total of 9 edges.
<em>3. The vertex is a corner, where the edges meet.</em>
There are three vertices on each end of the shape, so it has a total of 6 vertices.
A shape that has 5 faces, 9 edges, and 6 vertices is a triangular prism.
Answer:
y = 
Domain = [3, infinity)
Step-by-step explanation:
x = 3y^2 + 3
3y^2 = x - 3
y^2 = (x-3)/3
y =
A typewriter costing $75.00 marked up 40% on cost M = 40 and S = 105
Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
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<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
function g has to be the transformation of function f. Therefore,
is the answer.
