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3 years ago

Use the vertical angles theorem to name a pair of congruent angles

1 answer:

5 0

If we have two parallel line cut by a transversal such that the number of the angles are ordered in this manner:
1 | 2
3 | 4
5 | 6
7 | 8
The following the pair of vertical angles
∠1 and ∠4
∠2 and ∠3
∠5 and ∠6
∠7 and ∠8

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PLEASE HELP ME I BEG YOU I REALLY NEED HELP PLEASE PLEASE   Find the range of the following set of data. 13, 11, 4, 5, 6, 9, 10,

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1. Range is 12.
2. Median is 10.5.
3. Standard deviation is 4
4. Standard deviation is 1.5
5. I got 2.78 for this but that must be wrong since it's not listed as the answer choices.
6. Sample
7. Parameter
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9. No mode

4 0

3 years ago

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Evaluate cosA/2 given cosA=-1/3 and tanA >0

mote1985 [20]

Answer:

$\bold{cos\dfrac{A}{2} = -\dfrac{1}{\sqrt3}}$

Step-by-step explanation:

Given that:

$cosA=-\dfrac{1}3$

and

$tanA > 0$

To find:

$cos\dfrac{A}{2} = ?$

Solution:

First of all,we have cos value as negative and tan value as positive.

It is possible in the 3rd quadrant only.

$\dfrac{A}{2}$ will lie in the 2nd quadrant so $cos\dfrac{A}{2}$ will be negative again.

Because Cosine is positive in 1st and 4th quadrant.

Formula:

$cos2\theta =2cos^2(\theta) - 1$

Here $\theta = \frac{A}{2}$

$cosA =2cos^2(\dfrac{A}{2}) - 1\\\Rightarrow 2cos^2(\dfrac{A}{2}) =cosA+1\\\Rightarrow 2cos^2(\dfrac{A}{2}) =-\dfrac{1}3+1\\\Rightarrow 2cos^2(\dfrac{A}{2}) =\dfrac{2}3\\\Rightarrow cos(\dfrac{A}{2}) = \pm \dfrac{1}{\sqrt3}$

But as we have discussed, $cos\dfrac{A}{2}$ will be negative.

So, answer is:

$\bold{cos\dfrac{A}{2} = -\dfrac{1}{\sqrt3}}$

7 0

3 years ago

Which statement about –2h2 – 15h – 7 is true?

Alexus [3.1K]

Answer:

yea its true

Step-by-step explanation:

dont hesitate just go with it i did my work on paper and biggie kno this shi

6 0

3 years ago

Julie drove a motorcycle in a race. She averaged 35 mph and began the race 0.25 hours ahead of the other drivers. The variable d

alina1380 [7]

You would need to add 0.25 from t to get the number of hours ( this would be the total number of hours she has raced) and then multiply that by her speed.

The equation would be d = 35(t+0.25)

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3 years ago

Simplify each sum (5m^4+7-m^3)+(7m^3-7m^2+1)

lapo4ka [179]

Step-by-step explanation:

5m4 + 7 - m3 + 7m3 - 7m2 + 1

Solving like terms

5m4 + 6m3 - 7m2 + 8

4 0

3 years ago

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