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exis [7]
3 years ago
6

5. What is angel 8 use picture above

Mathematics
2 answers:
Vikki [24]3 years ago
6 0

Answer:

Angle 8 = Angle 4

Step-by-step explanation:

velikii [3]3 years ago
5 0

Answer:

4.  ∠3 and ∠5

5.  75°

Step-by-step explanation:

4. Same-side interior angles.

If you look at the figure, the INTERIOR angles are those between the two parallel lines (JL and MP), these are angles #3, #4, #5 and #6. The other angles are exterior angles.

The question asks for same-side... meaning both on the left of NK or on the right side of it.  So, the two sets that match this are: 3 with 5 and 4 with 6.

The last option gives you ∠3 and ∠5, so that's your answer.

That makes sense since angles 1 and 2, present in all other choices, are exterior angles.

5. If ∠4 = 75 degrees, what's the value of  ∠8?

Since JL and MP are parallel lines crossed by another line (NK), we know that  ∠4 and ∠8 will have the same measurement.  Those two angles are located on the same position compared to each other and one of the parallel line.

So, since  ∠3 = 75°,  ∠8 also has to be 75°, same for their opposing angles 2 and 5.  While the other angles are complements... so they're 105 degrees angles.

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Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x + 16 (k ∘ p)(x) = 2x2 − 16x + 32 (k
Anuta_ua [19.1K]

Answer:

<h2>(k ∘ p)(x) = 2x² - 16x + 25</h2>

Step-by-step explanation:

k(x) = 2x² - 7

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To find (k ∘ p)(x) substitute p(x) into k(x),

that's replace any x in k(x) by p(x)

We have

(k ∘ p)(x) = 2(x - 4)² - 7

Expand

(k ∘ p)(x) = 2( x² - 8x + 16) - 7

= 2x² - 16x + 32 - 7

Simplify

We have the final answer as

<h3>(k ∘ p)(x) = 2x² - 16x + 25</h3>

Hope this helps you

3 0
3 years ago
A circuit contains three resistors rated at 100 Ω, 200 Ω, and 300 Ω that are connected in parallel. What's the total resistance
jasenka [17]

Answer:

total resistance is 54.54 ohms

Step-by-step explanation:

In parallel circuits, current can take various paths so the resistance are not added simply like that in series circuit, instead the reciprocal of total resistance in parallel circuit is calculated by adding the reciprocals of all the resistors connected parallel in circuit.

Given:

Resistor r1= 100

resistor r2 = 200

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The three resistors are connected in parallel  so the total resistance will be calculated by:

1/R= 1/r1 +1/r2 +1/r3

Putting the values of r1, r2, r3 in above we get

1/R= 1/100 + 1/200 +1/300

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Taking reciprocal of both sides:

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Hence total resistance is 54.54 ohms!

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3 years ago
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nikdorinn [45]

Step-by-step explanation:

¡)

The lowest rank of the class is unknown to us.

Let's say, it's x.

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=> 87 - 7 = 2x

=> 2x = 80

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And x is the lowest rank of the class, so we got the required answer.

\boxed{ \mathfrak{lowest \: rank =  \red{40}}}

¡¡)

it can be 17 since the denominators are in increasing order and 17 only fits in.

I'm looking for any other pattern that can be present here.

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