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2 years ago

Use the diagram to find each angle measure.Explanation added please.

Mathematics

1 answer:

castortr0y [4]2 years ago

3 0

4. 120° ~ vertical angles are congruent

5. 13° ~ vertical angles are congruent

6. 70° ~ supplementary angles

7. 115° ~ supplementary angles

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Free points for who ever wants them

Veseljchak [2.6K]

Answer:

give me a free point and also sub the the_other_bot on

Step-by-step explanation:

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3 years ago

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If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value S₁ = 1.

• Assume the closed form is correct for all n up to n = k. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for n = k + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

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2 years ago

PLEASE ANSWER. I WILL GIVE BRAINLIEST FAST

mr_godi [17]

Answer:

It is a right triangle

Step-by-step explanation:

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2 years ago

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Blueberries cost $4 per pound for each question explain how you show your reasoning music table to help you organize information

aleksley [76]

Answer:

1. Either none (if you have to buy a whole pound), or 1/4 of a pound

2. 3 whole pounds or 3 and 1/4 pounds

Step-by-step explanation:

If $4 = 1 pound, then we know that $1 (which is 1/4 of $4), will let you by 1/4 pound of blueberries. Knowing this, we can simply:

Add up the one fourths

do 1/4 times $$

See how many times 4 goes into the number of dollars you have

Please correct me if I'm wrong :)

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2 years ago

Can someone plz help me on mixed numbers plz

IRINA_888 [86]

Answer:

The answer 3/4

Step-by-step explanation:

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2 years ago

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