Answer:
A dilation with a scale factor of One-fourth and then a translation
Step-by-step explanation:
Plot points A, B, C, D, A', B, C' and D' on the coordinate plane and draw quadrilaterals ABCD and A'B'C'D'.
These quadrilaterals are similar and quadrilateral a'B'C'D' has sides 4 times smaller than quadrilateral ABCD.
This means that the dilation with a scale factor of one-fourth was performed.
The figures were not rotated (they have the same positions), so the second transformation was translation.
Hence, correct option is B: a dilation with a scale factor of One-fourth and then a translation
Answer:
Let the smaller number be x
Then the sum is
(6 + 2x) + x = 27
We now find for x
2x + x + 6 = 27
3x + 6 = 27
3x = 27-6
3x = 21
x = 21/3
x = 7
Therefore the smaller number is 7
The larger number is (2×7) + 6 = 20
Answer:
No, Henry cannot form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of the lengths of two sides must be greater than the third side.
7 (first side) + 2 (second side) = 9
The sum of these two sides is not greater than the third side (9).
So, therefore, Henry cannot form a triangle.
Answer:
$141.75
Step-by-step explanation:
(900)(-105) (13/12) or 1.5