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Musya8 [376]
3 years ago
11

Please help me solve my problem!!!

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

B. sometimes

Step-by-step explanation:

Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.

Supplementary angles are two angles whose measures add to 180 deg.

If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.

Answer: sometimes

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Solve 11kx + 13kx = 6 for x.<br> A. X= 1/4k <br> B. X= 4k <br> C. X= 4/k<br> D. X= k/4
rjkz [21]
24kx = 6
kx = 6/24
kx = 1/4
x = 1/4/k
x = 1/4k

Answer: A) X = 1/4k or the first option.
3 0
4 years ago
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there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a
Karolina [17]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = \dbinom {60} {2} = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, n_p = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, n_k = 59!

Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}

The probability that no two teams win the same number of games is given as follows;

\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}

Therefore;

P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

Learn more about probability theory here:

brainly.com/question/1539712

3 0
3 years ago
A dining set is priced at $785. If the sales tax is 9 percent, what is the cost to purchase the dining set? Round to the nearest
VLD [36.1K]

Answer:

$855.65

Step-by-step explanation:

Multiply 785 by 0.09 to get the sales tax amount which is 70.65.

Add the sales tax amount to the price of the dining set to get cost after tax.

4 0
3 years ago
While at a bakery, Chad decides to purchase some cupcakes and brownies to share with his friends. He can spend no more than $13,
son4ous [18]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL
drek231 [11]

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL.  This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML.  Then, FM + ML = FL

<u>FM</u>

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = \frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}

<u>ML</u>

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= \frac{3a\sqrt{2} + a\sqrt{6} }{6}

8 0
3 years ago
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