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9966 [12]
3 years ago
6

The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuming th

at there are 4 weeks in a month how many tree frogs will there be in 3 months?
Mathematics
1 answer:
nikklg [1K]3 years ago
4 1
20,480

week
1-10
2-20
3-40
4-80
5-160
6-320
7-640
8-1,280
9-2,560
10-5,120
11-10,240
12-20,480
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In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not
Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

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\frac{12}{PR}=\frac{TS}{15}\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}

Solving for PS,

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Solve the quadratic equation in terms of PS, as shown below

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