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SCORPION-xisa [38]
3 years ago
15

How can you prove a triangle is a right triangle?

Mathematics
2 answers:
Darina [25.2K]3 years ago
6 0
Your answer would be option 2. Use the slope formula to see if any sides are perpendicular. This is because a right triangle must have 2 perpendicular sides that form a 90° angle for it to be a right triangle, so finding these would prove it.
I hope this helps!
Ivenika [448]3 years ago
5 0

Number 2 would be the correct answer


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Here are summary statistics for randomly selected weights of newborn​ girls: nequals=174174​, x overbarxequals=30.930.9 ​hg, seq
MaRussiya [10]

Answer:

The 95% confidence interval would be given by (29.780;32.020)  

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=30.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=7.5 represent the sample standard deviation

n=174 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=174-1=173

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that t_{\alpha/2}=1.97, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.  

Now we have everything in order to replace into formula (1):

30.9-1.97\frac{7.5}{\sqrt{174}}=29.780    

30.9+1.97\frac{7.5}{\sqrt{174}}=32.020

So on this case the 95% confidence interval would be given by (29.780;32.020)    

The value 29.6 is not contained on the interval calculated.

5 0
3 years ago
The distance between Columbus,Ohio and New York City is about 560 miles how many hours would it take the train to travel between
sergey [27]
Since the distance is 560 miles and the bus goes 268 miles per hour, the answer can be given as:
If 268=1 hour
  560=?
560/268*1 hour =2(rounded to nearest ones)
Therefore it will take the train approximately 2 hours to travel between both cities.
3 0
3 years ago
I provided it in the picture, please help!
Goshia [24]
The answer would be D.
7 0
2 years ago
Which expressions are equivalent to the one below? Check all that apply.log(10^7)
maksim [4K]

The value of expression is 7.

<h3>What is expression?</h3>

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

log 10^{7}

Now, using property of log

log b^{a} = a log b

So,

log 10^{7}= 7 log 10

As log 10 = 1

log 10^{7}= 7 (1)

log 10^{7}= 7

Learn more expression here:

brainly.com/question/14083225

#SPJ1

8 0
2 years ago
Someone Please help me..What must the value of x be in order for the figures below to be similar?
Ksenya-84 [330]

Answer:

16 cm

Step-by-step explanation:

x+x

8+8

16 cm

therefore 16 cm must be the value of x be in order for the figures below to be similar

3 0
3 years ago
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