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Natasha2012 [34]
3 years ago
14

Find x so that l || m. state the converse used.

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer:

x = 12

Converse: Alternate Interior Angles Converse

Step-by-step explanation:

By the Alternate Interior Angles Converse, if (14x - 23) = (9x + 37), then l || m.

Use the equation to solve for x as follows:

14x - 23 = 9x + 37

Subtract 9x from each side

14x - 23 - 9x = 9x + 37 - 9x

5x - 23 = 37

Add 23 to both sides

5x - 23 + 23 = 37 + 23

5x = 60

Divide both sides by 5

\frac{5x}{5} = \frac{60}{5}

x = 12

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Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey’s mom pays Natalie $11 per hour plus a $6 tip.
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Answer:

3

Step by Step:

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6 0
2 years ago
The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year
puteri [66]

Answer:

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

Step-by-step explanation:

information given

\bar X=10.6 represent the sample mean  

\sigma=4.1 represent the population standard deviation

n=45 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing the info given we got:

We can replace in formula (1) the info given like this:  

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

8 0
3 years ago
the times in seconds it took 6 finalists to run a 100 meter dash are 12.5 12.4 12.4 12.3 12.6 and 12.4. mr brown picks out the t
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Answer:

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3 0
3 years ago
Read 2 more answers
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nasty-shy [4]
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1). <u> 'y' as a function of 'x'</u>

Subtract  2x  from each side:  2y  = -2x + 8

Divide each side by  2 :         <em> y  =  -x + 4</em>


2). <u> 'x' as a function of 'y' :</u>

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Divide each side by  2 :        <em>  x  =  -y + 4</em>

Those two functions look the same, but that's just because the original
equation given in the problem was so symmetrical.  In general, they're
not the same function.


7 0
2 years ago
Read 2 more answers
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