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Reika [66]
3 years ago
13

You have an option between two cell phone plans. One costs $29 per month and charges $0.15 per text

Mathematics
1 answer:
Masja [62]3 years ago
3 0
360 texts
after sending 360 texts the cost of both bills will total at $83
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What is the next term if the geometric sequence 192,48,12
VladimirAG [237]

the numbers are being divided by 4 so 12/4 =3

 next number is 3

7 0
3 years ago
Read 2 more answers
Tyree plans to use SSS to prove two triangles made from a sheet of paper are the same. Which diagram best supports his plan to u
Ilya [14]

Answer:

Bottom left choice

Step-by-step explanation:

SSS congruence is side-side-side congruence, which is a method to prove triangles congruent by all three sides of the triangle being congruent. The other choices all involve congruent angles. Therefore, the bottom left choice is the best answer.

Also, notice that the bottom left choice shows which side is congruent to which. All three sides of one of the triangles are shown to be congruent with the corresponding side to the other triangle, therefore, congruent by SSS.

I hope this helps! :)

8 0
3 years ago
What is tan 330°? for algebra 2 with trig in it.
Alekssandra [29.7K]
Tan (330) = 0.133557
8 0
3 years ago
In the above bridge, line segment BD is the perpendicular bisector of line segment AC. For the bridge to be safe, Triangle ABD i
klasskru [66]

Answer: we can get the sequence of reasons with help of below explanation.

Step-by-step explanation:

Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)

By joining points B with A and B with C ( Construction)

We get two triangles ABD and CBD.

We have to prove that : Δ ABD ≅ Δ CBD

      Statement                                                  Reason

1. AD ≅ DC                                    1. By the property of segment bisector

2. ∠BDA ≅ ∠ BDC                        2. Right angles

3. BD ≅ BD                                   3. Reflexive

4.  Δ ABD ≅ Δ CBD                      4. By SAS postulate of congruence


8 0
3 years ago
Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20
densk [106]

Answer:

P_{20} = 20 --- 20th percentile

P_{25} = 21.75  --- 25th percentile

P_{65} = 27.85   --- 65th percentile

P_{75} = 29.5   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

P_{20} = 20 * \frac{N +1}{100}

P_{20} = 20 * \frac{8 +1}{100}

P_{20} = 20 * \frac{9}{100}

P_{20} = \frac{20 * 9}{100}

P_{20} = \frac{180}{100}

P_{20} = 1.8th\ item

This is then calculated as:

P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)

P_{20} = 16 + 0.8*(21 - 16)

P_{20} = 16 + 0.8*5

P_{20} = 16 + 4

P_{20} = 20

Solving (b): The 25th percentile

This is calculated as:

P_{25} = 25 * \frac{N +1}{100}

P_{25} = 25 * \frac{8 +1}{100}

P_{25} = 25 * \frac{9}{100}

P_{25} = \frac{25 * 9}{100}

P_{25} = \frac{225}{100}

P_{25} = 2.25\ th

This is then calculated as:

P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)

P_{25} = 21 + 0.25(24-21)

P_{25} = 21 + 0.25(3)

P_{25} = 21 + 0.75

P_{25} = 21.75

Solving (c): The 65th percentile

This is calculated as:

P_{65} = 65 * \frac{N +1}{100}

P_{65} = 65 * \frac{8 +1}{100}

P_{65} = 65 * \frac{9}{100}

P_{65} = \frac{65 * 9}{100}

P_{65} = \frac{585}{100}

P_{65} = 5.85\th

This is then calculated as:

P_{65} = 5th + 0.85(6th - 5th)

P_{65} = 27 + 0.85(28 - 27)

P_{65} = 27 + 0.85(1)

P_{65} = 27 + 0.85

P_{65} = 27.85

Solving (d): The 75th percentile

This is calculated as:

P_{75} = 75 * \frac{N +1}{100}

P_{75} = 75 * \frac{8 +1}{100}

P_{75} = 75 * \frac{9}{100}

P_{75} = \frac{75 * 9}{100}

P_{75} = \frac{675}{100}

P_{75} = 6.75th

This is then calculated as:

P_{75} = 6th + 0.75(7th - 6th)

P_{75} = 28 + 0.75(30- 28)

P_{75} = 28 + 0.75(2)

P_{75} = 28 + 1.5

P_{75} = 29.5

7 0
3 years ago
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