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oksano4ka [1.4K]
1 year ago
7

Please help me Find X

Mathematics
1 answer:
solmaris [256]1 year ago
7 0

The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.

In this case, the angle is subtended by an arc measuring 180°. So

(4x + 6)° = 1/2 • 180°

4x + 6 = 90

4x = 84

x = 21

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Two teachers compared the mean absolute deviation of the scores from the semester exam they gave to their students. Mrs. Alvarez
Monica [59]

Answer:

C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Step-by-step explanation:

Mean Absolute Deviation is one of the Statistical measures which we can you to determine the variation that exist amongst a given set of data

Mean Absolute Deviation can be defined as how far or the distance between one set of data to another set of data.

The smaller the Mean Standard Deviation, the lower the degree of variation in the set of data. The data is less spread out

The larger the Mean Standard Deviation, the higher the degree of variation in the set of data. The data is Largely spread out

We are told in the question that:

Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. Our conclusion would be that Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Option 2 is correct.

3 0
3 years ago
Sam drove 320 miles in 2.5 hours, how long will it take to drive 500 at the same rate (speed)?
marishachu [46]

Answer:

D = (55)(4.5)  

425 = 60 T  

200 = R (2.5)  

4.6 hours  

59 mph  

217 miles




Step-by-step explanation:


6 0
3 years ago
Find the volume of the given solid: Bounded by the cylinder y^2+z^2=4 and the planes x = 2y, x = 0, z = 0 in the first octant.
rodikova [14]

The solution would be like this for this specific problem:

<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [ 2·r² ] dr </span>
<span>= (2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>

So the volume of the given solid is 16/3. I am hoping that these answers have satisfied your query and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

3 0
3 years ago
Jeffrey has a dog that weighs 3 times as much as Sarah's dog. The total weight of both dogs is 64 lb. How much does Jeffrey's Do
Fiesta28 [93]
64×3=192 you can do 64+64+64 and you get 192
8 0
3 years ago
A student used f(x) = 5.00(1.012)* to show how the balance in a savings account will
Rufina [12.5K]

Answer:

  the initial balance

Step-by-step explanation:

5.00 is the value of f(0). It is the balance before any time has elapsed, the initial balance.

3 0
3 years ago
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