Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.
R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)
So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.
Answer: the rate change is 1/3
Step-by-step explanation: because its going up 1/3 not down.
Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is
We know that one of the angles (say x) is 98. So, the equation updates to
If we want to solve for the other angle, we can simply subtract 98 from both sides to get
Answer:
Step-by-step explanation:
<u>The volume of the prism:</u>
<u>If each of the dimensions is doubled, then the volume becomes:</u>
- V₁ = 2l*2w*2h = 8lwh = 8V
The larger prism has 8 times greater volume
Answer:
a polyhedron is a three dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.
a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense
polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.
solid geometry is the traditional name for the geometry of three-dimensional Euclidean space. Stereometry deals with the measurements of volumes of various solid figures including pyramids, prisms and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres
a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
Step-by-step explanation:
