Answer:
a. OM is congruent to ON.
Step-by-step explanation:
To use the HL Theorem, you must have a congruent hypotenuse and a congruent leg. In this case, you have two congruent hypotenuses. You just need to find two congruent legs.
a. OM is congruent to ON. This says that two legs are congruent, so this is your answer.
b. LM is congruent to ML. This does not help as it is saying a segment is the same as the same segment.
c. and d. Both of these use angle measurements, which does not help with the HL Theorem.
Hope this helps!
Answer:
39 tons
Step-by-step explanation:
35 + 4 = 39
Answer:
52.5
Step-by-step explanation:
You would use the Pythagorean theorem to solve this. Using the formula,
a^2 + b^2 = ^2
You would have an equation of 50^2 + 16^2 = c ^2.
50^2 is 2500, and 16^2 is 256.
There, you have 2500+256 = c^2
add those together, and you have 2756.
Now, you have to find the square root of 2756 (to solve 2756 = c^2)
which leaves you with 52.4976189936
. Rounded to the nearest tenth, you end up with 52.5.
Answer:
Our population of interest represent all the adults in United states who never travel using commercial airlines.
The sample on this case represent the people surveyed in United States who never travel using commercial airlines.
For this case the value obtained 
represent a statistic since is a value who represent the sample not the population. Our population parameter is not known and is given by 
Step-by-step explanation:
A statistic is a "characteristic of a sample". And the statistic allows "estimate the value of a population parameter".
A parameter is a value who represent the population of interest.
For this case we have a sample size of size n = 2276
The proportion estimated 
of people that nevel travel using commercial airlines was:
or 33%
Our population of interest represent all the adults in United states who never travel using commercial airlines.
The sample on this case represent the people surveyed in United States who never travel using commercial airlines.
For this case the value obtained represent a statistic since is a value who represent the sample not the population. Our population parameter is not known and is given by
Check the picture below.
let's notice that the base of the pyramid is triangle with a base of 5 and an altitude of 4, so it has an area of (1/2)(5)(4).
![\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its}}{base}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(5)(4)\\ h=8 \end{cases}\implies V=\cfrac{1}{3}\left( \cfrac{1}{2}(5)(4) \right)(8)\implies V=\cfrac{1}{3}(10)(8) \\\\\\ V=\cfrac{80}{3}\implies V=26\frac{2}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20pyramid%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B1%7D%7B3%7DBh~~%20%5Cbegin%7Bcases%7D%20B%3D%5Cstackrel%7B%5Ctextit%7Barea%20of%20its%7D%7D%7Bbase%7D%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20B%3D%5Cfrac%7B1%7D%7B2%7D%285%29%284%29%5C%5C%20h%3D8%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B1%7D%7B3%7D%5Cleft%28%20%5Ccfrac%7B1%7D%7B2%7D%285%29%284%29%20%5Cright%29%288%29%5Cimplies%20V%3D%5Ccfrac%7B1%7D%7B3%7D%2810%29%288%29%20%5C%5C%5C%5C%5C%5C%20V%3D%5Ccfrac%7B80%7D%7B3%7D%5Cimplies%20V%3D26%5Cfrac%7B2%7D%7B3%7D)
