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Pie
3 years ago
12

ILL GIVE BRAINLIEST! PLEASE HELP I DONT UNDERSTAND!

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Using the nth term formula a_{n} = 5n + 3 , then

a₁ = 5(1) + 3 = 5 + 3 = 8

a₂ = 5(2) + 3 = 10 + 3 = 13 , then

d = a₂ - a₁ = 13 - 8 = 5

Thus

S₁₅ = \frac{15}{2} [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

     = 7.5 × 86

     = 645

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Find the value of x for which WXYZ must be a parallelogram.
Alik [6]
Set angle W equal to angle Y
4x + 20 = x + 26
Solve
4x = x + 6
3x = 6
x = 2

Hope this helps. If it did, consider making it Brainliest!
4 0
4 years ago
Read 2 more answers
Determine whether 2,5,9,14 is an arithmetic sequence
Fudgin [204]

Answer:

It is not arithmetic sequence

Step-by-step explanation:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

hope it helps

6 0
3 years ago
Is -24 a solution to the equation -16+2x=-64
S_A_V [24]

Answer:

It is a solution

Step-by-step explanation:

To check and see if it is a solution, we can substitute it in

-16 +2(-24) = -64

-16 -48 = -64

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Since this is true, it is a solution

3 0
4 years ago
Find m∠ABC in the picture. (it's not solving for x.)
lys-0071 [83]

Answer:

The answer would be 6º

Step-by-step explanation:

first we know that a straight lin is always 180º

so since we know that the angle outside of the triangle is 110º we can do 180º -110º

then we get the measuerment for angle C :70º

since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation

2+6x+12x+70=180

then we solve

72+18x=180

-72         -72

18x=108

/18    /18

x=6

then we plug in the x value to find the angle measurement

2+6(6)

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your answer is m<CAB is 38º

4 0
3 years ago
Madison invests money in an account paying a simple interest of 3.2% per year.If she invests $160 and no money will be added or
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The amount of interest she will earn in one year will be 5 dollars and 12 cents.

<h3>What is Simple interest?</h3>

The normal interest levied on the amount borrowed from any bank on a yearly basis is called the simple interest.

Given that:-

  • The interest of 3.2% per year
  • Invests $160 and no money will be added or removed from the investment.

The simple interest amount will be:-

SI   =   (  P   x   R   x   T  )  / 100

SI  =    (  160   x   x   3.2   x   1  )  /   100

SI   =    $5.12

Therefore the amount of interest she will earn in one year will be 5 dollars and 12 cents.

To know more about simple interests follow

brainly.com/question/25793394

#SPJ1

5 0
3 years ago
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