Solve the proportion: 3/2 = 4/p + 9
1 answer:
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Answer:
Step-by-step explanation:
Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is =
Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is if first draw was successful, and
if the first number was multiple of three.
Answer:
Rectangle ABCD was dilated by followed by a translation of 7 units right and 1 unit down.
Step-by-step explanation:
Rectangle A'B'C'D' is a dilated form of rectangle ABCD.
Followed by a translation, as shown in the figure attached.
For dilation,
Scale factor =
=
=
Therefore, rectangle ABCD was dilated with a scale factor of about the origin.
Coordinates of point A → (-10, 6)
Coordinates of point A' → (1, 2)
Coordinates of image of point A after dilation,
(x, y) → (kx, ky)
A(-10, 6) → A"(-5, 3)
Coordinates of point A" after translation of 'h' units to the right and 'k' units down.
(x, y) → (x + h, y - k)
A"(-5, 3) → A'[(-5 + h), (3 - k)]
By comparing the coordinates of A'[(1, 2) and (-5 + h, 3 - k)],
-5 + h = 2 ⇒ h = 7
3 - k = 2 ⇒ k = 1
Therefore, rectangle ABCD was dilated by followed by a translation of 7 units right and 1 unit down.