Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.
1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3
2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25
JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25
3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.
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Answer: HJ = 25, JK = 25, HK = 50
I don't know exactly what "triangle proofs" represents, because there are varieties of proofs related to triangle.
But, as long as the geometric figures can be split into triangles, the proofs can be applied.
Answer:
Yes by SSS because you have the same hypotenuse and same hatch marks on other sides
Answer: The best thing to do right now is sit back, relax, realize that you don't know the answer, and watch some Bob's Burgers or something.
Step-by-step explanation:
Answer:
Null hypothesis: ![\mu \leq 4.5](https://tex.z-dn.net/?f=%5Cmu%20%5Cleq%204.5)
Alternative hypothesis: ![\mu >4.5](https://tex.z-dn.net/?f=%5Cmu%20%3E4.5)
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the claim that we are trying to proof is "A movie streaming company only holds on to a movie in its offering if the movie has had a 4.5 rating or above". So that needs to be on the alternative hypothesis. And the complement should be the null hypothesis.
Null hypothesis: ![\mu \leq 4.5](https://tex.z-dn.net/?f=%5Cmu%20%5Cleq%204.5)
Alternative hypothesis: ![\mu >4.5](https://tex.z-dn.net/?f=%5Cmu%20%3E4.5)
We have another into to complete the test for example:
represent the sample size selected
The value that we want to test
represent the significance level
Confidence =95% or 0.95