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JulijaS [17]
2 years ago
10

Felix said quadrilateral ABCD is a parallelogram because BE = DE. What was his error?

Mathematics
1 answer:
Kamila [148]2 years ago
7 0

Answer:

There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.

Step-by-step explanation:

To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.

Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"

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17. x^2 + 2x + 1
valentina_108 [34]

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this  by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1)  + x+1

Factor out x+1

( x+1)  ( x+1)

This is not the difference of squares since there is no subtraction

5 0
3 years ago
1. To the nearest tenth of a centimeter, how tall is a
Setler [38]
It’s A because when u do (6.4)^2 times pi equals 128.6796351 and u subtract to the total volume(1119.5cm) and equals to 8.69; u later round to nearest tenth which equals to A, 8.7cm
4 0
3 years ago
A plumber is fitting A water pipe that is 3/4 foot long on to a water pipe that is 2/12 foot long.How long will the finish pipe
viktelen [127]
Add 3/4 foot to 2/12 foot.  The LCD here is 12.

Thus, add 9/12 foot to 2/12 foot.  Answer:  11/12 foot.
 
 Are you sure you copied down that "2/12" correctly?  Note that 2/12 = 1/6 
3 0
3 years ago
Read 2 more answers
Exhibit 9-2 The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the cu
Diano4ka-milaya [45]

Answer:

At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.

At the null hypothesis, we test if the mean is of at most 3 minutes, that is:

H_0: \mu \leq 3

At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:

H_1: \mu > 3

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

3 is tested at the null hypothesis:

This means that \mu = 3

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.

This means that n = 100, X = 3.1, \sigma = 0.5

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}

z = 2

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.

6 0
3 years ago
HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!
r-ruslan [8.4K]

Answer:

The equation has an Inifinite amount of solutions

Step-by-step explanation:

2 ( 3g + 2 ) = 1/2 ( 12g + 8 )

First use the distributive property of multiplication -

6g + 4 = 6g + 4

6g cancels out from both sides of the equation -

4 = 4

When both sides of an equation are the same there is an infinite amount of solutions.

Hope this helped! :)

8 0
3 years ago
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