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guapka [62]
3 years ago
8

In rectangle ABCD, the angle bisector of ∠A intersects side DC at point M and the angle bisector of ∠C intersects side AB at poi

nt N. The length of CM is equal to the length of AM and it is 6 in longer than the length of DM. Find the perimeter of quadrilateral ANCM.

Mathematics
1 answer:
Verizon [17]3 years ago
7 0
Perimeter of quadrilateral ANCM = AN+NC+CM+MA

CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.

Perimeter (P) = 4x in

Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in

Therefore, P=4*20.5 = 82 in

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According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 20
Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

p = 23% = 0.23

Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.23\\H_A: p < 0.23

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

5 0
2 years ago
Clare travels at a constant speed, as shown on the double number line
Usimov [2.4K]

Answer:

1. 36 miles

2. 108 miles

3. 234 miles

Step-by-step explanation:

Here we have the Distance in miles, time and calculated speed as follows;

Distance (miles)                  Elapsed time (hours)              Speed (miles/hour)

       0                                        0                                          0

       72                                      2                                          36

       144                                     4                                          36

       216                                     6                                          36

Distance = Speed (miles/hour) × Elapsed Time (hour)

Therefore, in

1. 1 hour, she travels

1 × 36  = 36 miles

2. 3 hours she travels

3 hours × 36 miles/hour = 108 miles

3. 6.5 hours she travels

6.5 hours × 36 miles/hour = 234 miles.

5 0
2 years ago
49/10 as a mixed number
anastassius [24]
4 9/10 is your answer because you first have to divide the numerator by the denominator. this will give you 4, with a remainder of 9. The mix number can be created by using the 4 as the whole number, the 9 as the numerator and the 10 as a denominator. So, 49/10 = 4 9/10. Hope this works!
5 0
3 years ago
Read 2 more answers
Hopefully that’s better :)))
mr Goodwill [35]

Answer: Top right, a rectangle has all the properties of a square

Step-by-step explanation: A rectangle does not have all the properties of a square.

8 0
2 years ago
Miranda has earned scores of 20, 22, 18, and 24 on her last four math quizzes. What score will she need to earn on the fifth qui
BigorU [14]

Answer:

16

Step-by-step explanation:

20 + 22 + 18 + 24 + 16 = 100

100/5= 2O

hopes this helps sorry for the late answer I just want others to get the correct answer.

4 0
2 years ago
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