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djyliett [7]
1 year ago
14

Which theorem, term, or corollary is represented by the picture?

Mathematics
1 answer:
Over [174]1 year ago
8 0

The triangle is an Corollary 1 to the isosceles triangle theorem.

Given that,

In the picture we have a triangle,

We have to find which triangle is it.

From the triangle,

The 2 sides are equal and the 2 angles are also equal.

So, The triangle is an Corollary 1 to the isosceles triangle theorem.

According to the isosceles triangle theorem, if two triangle sides are congruent, then the angles across from those sides are likewise congruent.

An isosceles triangle is one with two sides that are the same size and a third side that is a different size.

Therefore, The triangle is an Corollary 1 to the isosceles triangle theorem.

To learn more about triangle visit: brainly.com/question/2773823

#SPJ1

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Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V =
AURORKA [14]
You are given the length of a rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are required to find the volume of a rectangular prism. Using the equation V = l x w x h, we multiply the three dimensions.  

V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
<u>V = 6x^5 + 18x^4 + 30x^3</u> <u> </u>
<u>The volume of the rectangular prism is 6x^5 + 18x^4 + 30x^3.</u>
3 0
3 years ago
Helpp!!!
astraxan [27]

9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the side opposite the angle (BC) and the hypotenuse (14 cm).

  Sin = Opposite/Hypotenuse

  sin(58°) = BC/(14 cm)

  BC = (14 cm)×sin(58°) . . . . . multiply by the denominator

  BC ≈ 11.9 cm

5 0
3 years ago
The booster club now raises $0.41 for each pom pom they sell.
VLD [36.1K]
If you do .41x122 you get 50
3 0
2 years ago
Read 2 more answers
A.coffee machine dispenses 8-ounce cups of coffee automatically. The amount of coffee may vary by 3%. Wat are the least and grea
nalin [4]

Answer:

 

Step-by-step explanation:

8 0
3 years ago
The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
romanna [79]

Answer:

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation  

\bar X=1440 represent the mean annual premium value for the sample  

s=165 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =1503 represent the value that we want to test

\alpha 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1503  

Alternative hypothesis:\mu < 1503  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

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

We can replace in formula (1) the info given like this:  

t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909    

P-value

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

df=n-1=25-1=24  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(24)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.  

7 0
3 years ago
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