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laiz [17]
2 years ago
13

Could somebody please help me find the answers for 'x' for these pictures?

Mathematics
2 answers:
mario62 [17]2 years ago
5 0
These are the answers! I hope this helps!
1. x=51
2. x=5
3. x=12
djyliett [7]2 years ago
4 0

Answer:

(in order) #1

for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.

So in this case

2x+8 and 110 are oppostie sides.

2x+8=110

Which is x= 51

#2

For the second one you have supplementray angles

Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do

9x+12x+75=180

Which is x=5

#3

This is also a vertical angle pair and their congruent just like #1

So 5x+5=65

x=12

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What are all values of x for which the series shown converges? ​
adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}

We can write this as:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}

Then we have the inequality

1 > (x - 2)/3

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

5 0
2 years ago
Solve 7x − 2y = −3<br> 14x + y = 14
Sauron [17]
7x - 2y = -3

14x + y = 14
14x -14x + y = 14-14x
Y = 14 - 14x

7x -2y = -3
7x - 2(14 - 14x) = -3
7x -28 + 28x = -3
7x + 28x - 28 = -3
35x - 28 = -3
35x - 28 + 28 = -3 + 28
35x = 25
35x/35 = 25/35
X = 25/35 = 5/7.

Y = 14 - 14x
Y = 14 - 14(5/7)
Y = 14 - 10
Y = 4.

The solution P(5/7,4).
8 0
3 years ago
Read 2 more answers
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Dafna11 [192]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The line graph shows the average number of awakenings during the night for men and women of different ages. Use the graph to est
Reika [66]

*see attachment showing the line graph

Answer:

2

Step-by-step explanation:

The red line represents the line for women, while the blue line represents the line for men.

Age 45 is the middle of 40 and 45 on the x-axis.

The average number of awakenings during the night for 45 ​-year-old men ≈ 5

The average number of awakenings during the night for 45 ​-year-old women = 3

The difference = 5 - 3 = 2 times during the night.

6 0
3 years ago
How do I do this? Explain how you got the answer
gizmo_the_mogwai [7]

Answer:

All i did was divide

Step-by-step explanation:

5 0
3 years ago
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