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atroni [7]
3 years ago
14

How do i find x with this diagram

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

x=32

Step-by-step explanation:

that is an isosceles triangle, meaning 2 sides are the same and 2 anlges are the same.

each traingle = 180 degrees

3x+2(x+10)=180

3x+2x+20=180

5x=160

x=32

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Find the generating function for the sequence 1,-2,4,-8, 16, ...
kirill [66]

Answer:

  a(x)=\dfrac{1}{1+2x}

Step-by-step explanation:

The generating function a(x) produces a power series ...

  a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

  a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}

This can be rearranged to ...

  a_n+2a_{n-1}=0

We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

3 0
3 years ago
Read 2 more answers
Give the following compound's base name.
kenny6666 [7]
Amswer the first one
3 0
3 years ago
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What is the gcf of 28 and 60
Vikki [24]

Answer:

4

Step-by-step explanation:

We need to find the factors of each number

28 -

1x28

2x14

4x7

60 -

1x60

2x30

3x20

4x15

5x12

6x10


then we need to find the largest number they have in common

in this case it is 4

3 0
3 years ago
Area= 18yd squared, length= 6yd<br> width=
GenaCL600 [577]

Answer:

The width is 3 yds

Step-by-step explanation:

Area = length * width

18 = 6*w

Divide each side by 6

18/6 = 6w/6

3=w

The width is 3 yds

7 0
3 years ago
The sum of three consecutive integers is 63. What is the lowest of the three integers?
sveta [45]
  One number be x
x+(x+1)+(x+2)=63
x+x+1+x+2=63
3x+3=63
3x=63-3
3x=60
x=60:3
x=20
smallest number = x=20
middle <span>number = x+1= 20+1=21
</span>largest<span><span><span> number = x+2</span> =20+2= 22</span>
</span>
3 0
3 years ago
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