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Flauer [41]
3 years ago
6

Given that / and /, which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag a

re similar?
Mathematics
2 answers:
Svetllana [295]3 years ago
6 0

Actually, the answer is ASA postulate!!!! I just took the county geometry quiz and got it correct

MrRissso [65]3 years ago
4 0
Given that we assume that all the bases of the triangles are parallel.

We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.

Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.
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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{236100}{8} = 29512.5

Sum of squares of differences = 3408750

S.D = \sqrt{\frac{3408750}{7}} = 697.82

Population mean, μ = $30,000

Sample mean, \bar{x} = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars} We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975

Now,

t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0
3 years ago
Help please ..........​
olganol [36]

Answer:

7.  combination; 25C6 = 177100

8.  combination; 15C5 = 3003

Step-by-step explanation:

7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.

__

8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.

_____

Of course, nCk = n!/(k!(n-k)!)

7 0
3 years ago
What is the slope of (-5,1) (5,2)
WARRIOR [948]

Check the answer below its correct(or above)

8 0
3 years ago
Read 2 more answers
A certain rumor spreads through a community at the rate dy/dt= 2y(1−y) , where y is the proportion of the population that has he
ss7ja [257]

Answer:

1/2 or 50% of the population has heard the rumor when it is spreading fastest.

Step-by-step explanation:

We need to take the derivative with respect to y from the r(y) = dy/dt = 2y(1-y) and equal to zero. At this condition we maximize the function and will get the maximum of the rumor spreading.

\frac{d(r(y))}{dy}=2-4y=0

Therefore we just need to find y:

y=2/4=1/2

So 1/2 or 50% of the population has heard the rumor when it is spreading fastest.

I hope it helps you!

3 0
3 years ago
⚠️⚠️⚠️⚠️URGENT!!!!⚠️⚠️⚠️⚠️ THE FATE OF THE WORLD IS IN YOUR HANDS DEPENDING ON YOU ANSWER CORRECTLY OR THE WORLD COULD BE IN GRE
eimsori [14]

Hello there The world in ⚠️Great Danger⚠️ Ahhhh well a Sam Winchester  is here to help ya Well your Question The table below represents a function. Which of the following equations could be its function rule? The answer would be Y = -3x Why you may ask? Because the number is the value of x on the table so it would be Y = -3x.

Hopefully that helps ya.

6 0
3 years ago
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