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zlopas [31]
4 years ago
7

Given: DEFG is a rhombus Prove: DEG FGE Write a proof that triangle DEG is congruent to triangle FGE using the above information

Mathematics
1 answer:
attashe74 [19]4 years ago
4 0
Please read the attached file

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Explain how to write and evaluate an algebraic expression.
ziro4ka [17]

Answer:

  • 40/n - 13
  • 7

Step-by-step explanation:

Thirteen less than the quotient of forty and a number. Required equation:

  • 40/n - 13

<u>When n = 2 we have:</u>

  • 40/2 - 13 = 20 - 13 = 7
6 0
3 years ago
Read 2 more answers
Evaluate the exponential function ƒ(x) = (1/2)^x
kolezko [41]
For this case we have the following exponential function:
 f(x) =  (\frac{1}{2})^x
 Evaluating the function for x = -1 we have:
 f(x)=(\frac{1}{2})^{-1}
 By power properties we can rewrite the function.
 We have then:
 f(x)= \frac{1}{(\frac{1}{2})^1}
 f(x)= \frac{1}{\frac{1}{2}}
 f(x) = 2
 Answer:
 
The value that completes the table when x = -1 is:
 
f(x) = 2
 D. 2
3 0
3 years ago
Read 2 more answers
Which of the following box plots best represents the set of data below?23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 4
Neporo4naja [7]
From the data given, the boxplot will be given by the figure shown:
<span>23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
summary of the data will be:
1st quartile=20
Median=45
Mean=45.93
3rd quartile=57</span>

8 0
4 years ago
Read 2 more answers
Find the angle measures of each angle in quadrilateral TUVW.
tia_tia [17]
Opposite angles are supplementary, so you have
.. V +T = 180°
.. (15y -4) +(12y-5) = 180
.. 27y -9 = 180
.. y = 189/27 = 7

a) T = (12y -5)° = (12*7 -5)° = 79°
c) V = (15y -4)° = (17*7 -4)° = 101°

.. U +W = 180°
.. (14 +4x) +(6x -14) = 180
.. 10x = 180
.. x = 180/10 = 18

b) U = (14 +4x)° = (14 +4*18)° = 86°
d) W = (6x -14)° = (6*18 -14)° = 94°


5 0
4 years ago
Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary s
tigry1 [53]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} is the sample proportion, n is the sample size , z_{\alpha/2} is the critical z-value.

The  values needed to calculate a confidence interval at the 99% confidence level are :

Given : Significance level : \alpha:1-0.99=0.01

Sample size : n=450

Critical value : z_{\alpha/2}=2.576

Sample proportion: \hat{p}=\dfrac{280}{450}\approx0.62

Now, the  99% confidence level will be :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.62\pm(2.576)\sqrt{\dfrac{0.62(1-0.62)}{450}}\\\\\approx0.62\pm0.023\\\\=(0.62-0.023,\ 0.62+0.023)=(0.597,\ 0.643)

Hence, the  99% confidence interval is (0.597,\ 0.643)

6 0
3 years ago
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