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Mariana [72]
3 years ago
11

Write an equation that could be used to find the value of x using the interior angles of ∆BDC, then solve it.

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.

<u>Using ∆ABD</u>

  55 +90 +2x+3 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

<u>Using ∆BCD</u>

  50 +90 +2x+8 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

<u>Using ∆ABC</u>

  55 +(2x +3) +50 +(2x +8) = 180

  4x = 64 . . . . . . . subtract 116

  x = 16

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Two pairs of consecutive sides are congruent
amm1812

Answer:

yes because if there the same they are

Step-by-step explanation:

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3 years ago
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t
andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

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

This means that the mean and the alternate hypothesis are:

Null: H_{0} = 3

Alternate: H_{a} = 3

The test-statistic is given by:

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.

Sample of 100 customers.

This means that n = 100

3 tested at the null hypothesis

This means that \mu = 3

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that X = 3.1

The population standard deviation is known at 0.5 minutes.

This means that \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

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0
3 years ago
Write down the possible values of x
worty [1.4K]

Answer:

-6,

-5,

-4

that's all....

7 0
2 years ago
Read 2 more answers
How many 2/5 are in 8?
umka21 [38]
Answer : 212
Reason why is because yu have 2/5 you multiply it across 8/1 5x1= 5 and 8x2= 16 then you will have 5/16 you divide 5 into 16 , 5 goes into 16 twice then subtract 16 and 10 then you would have 6 bring down the 0 and you have 60 . 5 goes into 60 12 times then you have your answer 212 .
4 0
3 years ago
Classify the triangle based on the side lengths 9, 40 and 41.
artcher [175]

Answer: right triangle

Step-by-step explanation: 9, 40, and 41 are examples of Pythagorean triples.

8 0
3 years ago
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