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OLEGan [10]
1 year ago
14

Find the 8th term of the geometric sequence 3, 12, 48,...

Mathematics
1 answer:
Sophie [7]1 year ago
4 0
\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^{(n-1)} \\ 8th=3\times4^{(8-1)} \\ 8th=3\times4^7 \\ 8th=3\times16384 \\ 8th=49152 \end{gathered}

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Look at the picture below
Lelu [443]

Answer: Phillip is correct. The triangles are <u>not </u>congruent.

How do we know this? Because triangle ABC has the 15 inch side between the two angles 50 and 60 degrees. The other triangle must have the same set up (just with different letters XYZ). This isn't the case. The 15 inch side for triangle XYZ is between the 50 and 70 degree angle.

This mismatch means we cannot use the "S" in the ASA or AAS simply because we don't have a proper corresponding pair of sides. If we knew AB, BC, XZ or YZ, then we might be able to use ASA or AAS.

At this point, there isn't enough information. So that means John and Mary are incorrect, leaving Phillip to be correct by default.

Note: Phillip may be wrong and the triangles could be congruent, but again, we don't have enough info. If there was an answer choice simply saying "there isn't enough info to say either if the triangles are congruent or not", then this would be the best answer. Unfortunately, it looks like this answer is missing. So what I bolded above is the next best thing.

7 0
3 years ago
Read 2 more answers
Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar
Tamiku [17]

Answer:

6.0

Step-by-step explanation:

: (2.0+(2.0+2.0)) = 6.0

6 0
3 years ago
For which real numbers x and y is it true that x + y = x+y?
Alchen [17]
By the general application of cumulative property of addition :

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For sure
6 0
3 years ago
Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.
Anni [7]

9514 1404 393

Answer:

  g(x) = 7x -1

Step-by-step explanation:

The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.

  g(x) = f(x) -4

  g(x) = 7x +3 -4

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5 0
3 years ago
How do I solve this question? <br> What number is 5% of 860?
Serggg [28]

Answer:

43

Step-by-step explanation:

You would take 5% as a decimal (0.05) and multiply 860 by the decimal.

3 0
2 years ago
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