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Mariana [72]
3 years ago
7

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

68

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

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Step-by-step explanation:

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Answer:

They either both have to be positive or negative.

Step-by-step explanation:

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8 0
3 years ago
Please help me thank you very much.
Stella [2.4K]
Question 1:

Since this is an isosceles trapezoid angle J is equal to angle M

20x + 9 = 14x + 15

Subtract both sides by 14x and 9

6x = 6

Divide both sides by 6

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Plug this into 14x + 15 and 20x + 9

You get 29 degrees.

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29 * 2 = 58

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Now, divide that by 2 since we know that angles K and L are congruent.

302 / 2 = 151

That's the measure for both angle K and L.

The first choice is your answer.

Question 2:

The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.

Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.

For angle 2, we know that x + y = 90.

Now, let's solve for z.

30z = 90

Divide both sides by 30

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Now, add them all together

x + y + z
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The first choice is your answer.

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The diagonals of a rectangle are always congruent.

6x + 16 = 49

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x = 5.5

The last choice is your answer.

Have an awesome day! :)
5 0
3 years ago
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Answer:

0.0475

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Given that :

Area To the left :

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