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: 3300 teenagers
Step-by-step explanation:
10/100
330/x
After you cross multiply then divide, x equals 3300.
Monthly maintenance costs of 20% of the rent for the first two apartments and 25% of the rent for the third apartment, which is a total amount of $345 (0.2)x + (0.2)y + (0.25)z = 345 I'm not 1005 sure tho
Answer:
Width = 16(√5) - 1
Step-by-step explanation:
We are told that the golden rectangle is 32 cm long.
Thus, length = 32 cm
We are also told that the ratio of the length to the width is; (1 + √5):2
Thus;
If a length of (1 + √5) yields a width of 2
Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)
So corresponding width = 64/(1 + √5)
We want to reduce this width to it's simplest radical form which means the denominator should have no square root.
Thus, let's multiply top and bottom by (1 - √5);
Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]
Width = 64(1 - √5)/(1 - 5)
Width = 64(1 - √5)/(-4)
Width = -16(1 - √5)
Width = 16(√5 - 1)
Width = 16√5 - 1
