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olya-2409 [2.1K]
2 years ago
5

Find the value marked b?

Mathematics
1 answer:
Travka [436]2 years ago
5 0

Based on the alternate interior angles theorem, the value marked b is calculated as: 190°

<h3>What is the Alternate Interior Angles Theorem?</h3>

The theorem states that two alternate interior angles are always congruent to each other.

The measure of angle b based on the alternate interior angles theorem would be:

m∠b = 50 + (320 - 180)

m∠b = 190°

Learn more about the alternate interior angles theorem on:

brainly.com/question/24839702

#SPJ1

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Write the grammatical sentence as an algebraic one: Nine less than half a number is twenty-four. ​
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Answer:

x/2-9=24

Explanation:

Nine less:
-9
Half a number:
x/2
So nine less than half a number:
x/2-9
Is 24:
=24

So x/2-9=24

To solve for the number:
Add 9 to both sides:
x/2-9+9=24+9
x/2=33
Multiply both sides by 2:
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Step-by-step explanation:

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LMNP is rotated 90 degrees around the origin. What are the coordinates of L'?
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Answer:

D) L’ (1,0)

Step-by-step explanation:

D) L’ (1,0)

4 0
4 years ago
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Consider the sequence {an} = {nrn}. Decide whether {an} converges for each value of r.
Rudiy27

Answer:

a). converges

b). diverges

c). converges

Step-by-step explanation:

{ $ a_n $ } = { $ nr^n $ }

Using radio test,

L = $ \lim_{n \rightarrow \infty} |\frac{a_n + 1}{a_n}| $

   = $ \lim_{n \rightarrow \infty} |\frac{(n+1)r^{n+1}}{nr^n}| $

   = $ \lim_{n \rightarrow \infty} |(1+\frac{1}{n})^r| $

   = $ \lim_{n \rightarrow \infty} |r| $

   = |r|

Therefore, $a_n$ converges in |r| < 1

a). r = 1/5

    $\{ a_n \}=  \{\frac{1}{5}, n \}$

This sequence is monotonically decreasing and bounded.

0 < $ a_n $ < 1

Hence, { $ a_n $ } converges.

b). r = 1

    { $ a_n $ } = { n }

This sequence is monotonically increasing sequence which is not bounded.

Hence, { $ a_n $ } diverges.

c). r = 1/6

$\{ a_n \}=  \{\frac{1}{6}, n \}$

This sequence is monotonically decreasing and bounded.

0 < $ a_n $ < 1

Hence, { $ a_n $ } converges.

For  |r| < 1, the $a_n$ converges.

3 0
3 years ago
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I didn’t know but we take last year go to google and write how to find the cube volume and you will get the equation
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