The coordinates of triangle A′B′C′ is A′(2, 1), B′(1, 2), C′(3, 2)
On plotting the coordinates on the graph, it is found :
Option A is the coordinates of a straight line.
Option C is the coordinates of a bigger triangle
Option D has a different shape.
Only option B fulfills the required condition of similar shape and scale factor of 0.5 .
Vertices of a triangular garden:
A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5
What are the coordinates?
- A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
- Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.
Learn more about coordinates here: brainly.com/question/24513436
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Answer:
To completely fill the sandbox will cost $56
Step-by-step explanation:
First, we calculate volume of the rectangular-shaped sandbox:

We know that density of sand is 100 pounds per cubic foot. Then, to fill the sand box that has a volume of 8 cubic foot, we calculate by rule 3:
1cubic foot..............100 pounds
8 cubic foot.............x pounds


We will need 800 pounds of sand to fill the sandbox, then we can calculate by rule 3 the number of bags needed and next the total cost of them:
50 pounds.......1bag
800 pounds.....x bags

To calculate the cost:
1 bag ..................$3.50
16 bags.................$x

To completely fill the sandbox will cost $56
Answer:
20
Step-by-step explanation:
Our expression:
2 * (18 + - 8)
Plus then minus (+ -) is the same as just minus ( - )
Some examples:
1 + (+ 1) = 2
1 + (- 1) = 0
1 - (+ 1) = 0
1 - (- 1) = 2
Thus, 18 + - 8 is the same as 18 - 8
2 * (18 + - 8) =
= 2 * (18 - 8) =
= 2* (10) =
= 2 * 10 =
= 20
Answer: 20
Answer:
198
Step-by-step explanation:
Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198