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dedylja [7]
3 years ago
12

By which rule are these triangles congruent?

Mathematics
2 answers:
ehidna [41]3 years ago
7 0
The answer is SSS the 2 triangles share a side which automatically makes them congruent
Alina [70]3 years ago
5 0

Answer:

Step-by-step explanation:

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What is the missing length.
nasty-shy [4]

Answer:

KS = 12

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, \frac{KL}{KR} = \frac{KM}{KS} (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

\frac{65}{13} = \frac{60}{KS}

Cross multiply

65*KS = 60*13

65*KS = 780

\frac{65*KS}{65} = \frac{780}{65}

KS = 12

4 0
3 years ago
Subract (10a^2-6a)-(7a^2-8a)
dybincka [34]
The answer is 3a^2-14a
7 0
3 years ago
Read 2 more answers
At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening
pav-90 [236]

Answer:

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

p_v =2*P(z>4)=0.0000633  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation  

\bar X=23 represent the sample mean

\sigma=3.5 represent the population standard deviation

n=49 sample size  

\mu_o =21 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:  

Null hypothesis:\mu = 21  

Alternative hypothesis:\mu \neq 21  

The statistic is given by:

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

Calculate the statistic

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

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>4)=0.0000633  

Conclusion  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

8 0
3 years ago
Whats The Answer To This Question ?
mamaluj [8]

Answer:

c. 7.527

Step-by-step explanation:

We know that 78 percent of the bar is gold and the total weight is 9.65 ounces. Just multiply the total weight by 78%.

9.65(0.78)=7.527

7 0
3 years ago
What is the least 4 digit number that can be divided by 20 and have a remainder of 5?
Vikentia [17]
One way is brute force or experiment

20*10=200
20*100=2000
20*50=1000, that is the first 4 digit  number
now add 5
1005

the answer is 1005
5 0
3 years ago
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