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djyliett [7]
3 years ago
6

Given: A = O, WA = NO, AS = OT. SSS SAS ASA AAS

Mathematics
2 answers:
nikitadnepr [17]3 years ago
7 0

Answer with explanation:

It is given that , In two triangles ,that is ,Δ WAS and Δ NOT

1.∠A=∠O→→[Included Angle,Given]

2. Side WA= Side NO→→[Given]

3. Side AS= Side OT→→→[Given]

⇒Δ WAS ≅ Δ NOT ≡[SAS]

Because ,two sides and one included angle between these two sides is used to prove Congruency.

Option B: S A S

chubhunter [2.5K]3 years ago
3 0

Answer:

it's a SAS congruency.

Step-by-step explanation:

" SAS congruency states that if two sides and the included angle of one triangle are congruent to the two sides and the included angle of the another triangle" .

as we are given correspondence among the two triangles as:

A=O i.e. ∠A=∠O.

WA=NO and AS=OT.

This implies that the two sides and the corresponding angle between two sides are congruent.

Hence we can use SAS congruency.



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d 4843.75

Step-by-step explanation:

Marco is 45 so the premium is 38.75 per 1000 of life insurance.

He wants 125000

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He want 125 units at 38.75

125*38.75 =4843.75

His insurance will cost 4843.75 per year

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3 years ago
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rodikova [14]
Answer is 182. Just substitute the x and y value into the equation.
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Combine like terms.<br> (-22 - 3) + (40 + 6y) + (7 + 3c)
Feliz [49]

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

−22−3+40+6y+7+3c

=−22+−3+40+6y+7+3c

Combine Like Terms:

=−22+−3+40+6y+7+3c

=(3c)+(6y)+(−22+−3+40+7)

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Answer:

=3c+6y+22

5 0
3 years ago
The health of the bear population in a park is monitored by periodic measurements taken from anesthetized bears. A sample of the
Vikki [24]

Answer:

182.167-2.03\frac{114.05}{\sqrt{36}}=143.580  

182.167+2.03\frac{114.05}{\sqrt{36}}=220.754  

So on this case the 95% confidence interval would be given by (143.580;220.754)  

Step-by-step explanation:

Assuming the following dataset:

77, 349,417,349, 167 , 225, 265, 360,205

145,335,40,139, 177,108, 163, 202, 22

123,439, 125,135, 86,43, 217,49, 156

119,178, 151, 61, 350, 312, 91, 89,89

We can calculate the sample mean with the followinf formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}= 182.167

And the sample deviation with:

s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}=114.05

The sample size on this case is n =36.

Previous concepts  

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=182.167 represent the sample mean  

\mu population mean (variable of interest)  

s=114.05 represent the sample standard deviation  

n=36 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)  

The point estimate of the population mean is \hat \mu = \bar X =182.167

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

df=n-1=36-1=35  

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 table to find the critical value. The excel command would be: "=-T.INV(0.025,35)".And we see that t_{\alpha/2}=2.03  

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

182.167-2.03\frac{114.05}{\sqrt{36}}=143.580  

182.167+2.03\frac{114.05}{\sqrt{36}}=220.754  

So on this case the 95% confidence interval would be given by (143.580;220.754)  

5 0
3 years ago
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Trava [24]

Answer:

so to do this we basicely just go through and substitute the anser in and see if it works.

60+10=70

60-10=50

NO

50+20=70

50-20=30

RIGHT

so the answer is the second one

6 0
3 years ago
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