Answer: On the 29th day
Step-by-step explanation:
According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.
On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.
The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are lilypads on the 30th, and lilypads on the 29th. This can be deduced multiplying succesively by 2.
<em>3,2</em>
Step-by-step explanation:
Reflection across the x-axis:
(x,y) -> (x,-y)
In other words, you want to <u>change the sign of the y</u>.
(3,-2) -> (3,2)
To find the greatest possible product, you need the greatest possible numbers. The largest possible 2-digit number is 99. The largest possible 1-digit number is 9. Therefore, 99 * 9 will be the largest possible product under these circumstances.
99 * 9 = 891
Hope this helps! :)
Answer:
Explanation:
The question states the <em>congruent</em> images:
- ABCD ≅ FGHI ≅ JKLM ≅ NOPQ ≅ RSTU
The order of the letters matters.
For instance, ABCD ≅ FGHI means that the vertex A is transformed into vertex F, the vertex B is transformed into the vertex G, the vertex C is transformed into vertex H, and the vertex D is transformed into vertex I.
From the images, the square ABCD is just shifted 9 units down to form the square FGHI. No refelection is needed.
As per the square RSTU only a reflection of square ABCE accross the y-axis makes the vertex A into vertex R, the vertex B into the vertex S, the vertex C into the vertex T, and the vertex D into the vertex U.
Answer:
The AA similarity postulate???