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ASHA 777 [7]
3 years ago
5

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0
When the quadrilateral is inscribed in a circle (a "cyclic" quadrilateral), opposite angles are supplementary. This fact gives a relationship between angles B and D that lets us find the value of x.
  ∠B + ∠D = 180
  (2x-4) + (3x+9) = 180
  5x +5 = 180
  x = (180 -5)/5 = 35

Now, we can find angle C as
  ∠C = 180 - ∠A
  ∠C = 180 - (2×35+3)
  ∠C = 107°
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28 1/2% covert the percent to a decimal
rewona [7]

Answer:

0.285

Step-by-step explanation:

To do this, divide 28 1/2% by 100%, obtaining:

28.5%

---------- = 0.285

100%

8 0
3 years ago
Weatherwise magazine is published in association with the American Meteorological Society. Volume 46, Number 6 has a rating syst
lisabon 2012 [21]

Answer:

a)  c) μ = 16.4.

b)  d) μ > 16.4.

c) a) μ < 16.4.

d) c) μ ≠ 16.4.

e)  d) right; left; both.

Step-by-step explanation:

Question a:

Test if it is getting worse, so at the alternative hypothesis we test if the mean is of greater than 16.4 inches, but at the null hypothesis we test if it is still of 16.4 options, so option C.

Question b:

At the alternative hypothesis we test if the mean is of greater than 16.4 inches, as said above, so the answer is given by option d.

Question c:

Dying down, so if the mean is lower than 16.4 inches, so option a.

Question d:

Don't know, so just test if it is different, which includes both lower or greater, so the correct answer is given by option c.

Question e:

Test if more -> right, so on question b) is a right tailed test.

Test if less -> left, so on question c) is a left tailed test.

Different -> both sides, so on question d) it is a two-tailed test.

Thus the correct answer is given by option d.

3 0
3 years ago
Find the equivalent exponential expression.<br> [(-4)^3]^2
Karolina [17]

Answer:

4096

Step-by-step explanation:

<em><u>Simplify:</u></em>

=((−4)3)2

=((−4)3)*((−4)3)

=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))

=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)

=(−4)6

<em><u>Step by Step:</u></em>

<u><em>((−4)3)2 </em></u>

<u><em>=(−64)2 </em></u>

<u><em>=4096</em></u>

<u><em /></u>

Answer: 4096

<em><u>Hope this helps.</u></em>

4 0
3 years ago
What are composite numbers in 50?
Serggg [28]
A composite number is a number that can be divided <span>evenly </span>
<span>by numbers other than 1 or itself. So in this case  the composite factors that make up 50 are: 25 and 10</span>
7 0
3 years ago
What is the vertex of the graph of the function below? y = x2 - 4x + 3
RoseWind [281]
The vertex of this function is (2 , -1)
5 0
3 years ago
Read 2 more answers
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