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weqwewe [10]
3 years ago
8

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L

P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3. What is the length of segment NS? 1 unit 2 units 4 units 6 units
Mathematics
2 answers:
Irina18 [472]3 years ago
8 0

Answer:

6 units

Step-by-step explanation:

Given: Triangle L N P has centroid S.

NS=7x-3, SR=5x-3

To find: NS

Solution:

Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio 2:1

So,

NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1}  \\

Put NS=7x-3, SR=5x-3

\frac{7x-3}{5x-3}=\frac{2}{1}\\  7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1

Therefore,

NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units

So,

NS=NS+SR=4+2=6\,\,units

Download pptx
Grace [21]3 years ago
7 0

Answer:

The answer is 4

Step-by-step explanation:

It asks for the length of NS not the length of NR

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Answer:

t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202    

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Step-by-step explanation:

Data given and notation  

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\mu_o =420 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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

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We need to conduct a hypothesis in order to check if the true mean is different from 420 or not, the system of hypothesis would be:  

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Alternative hypothesis:\mu \neq 420  

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t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

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P-value

The first step is calculate the degrees of freedom, on this case:  

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

p_v =2*P(t_{(60)}>1.202)=0.234  

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