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Marysya12 [62]
3 years ago
15

What information is necessary to prove two triangles are similar by the SAS similarity theorem?

Mathematics
2 answers:
Irina18 [472]3 years ago
4 0

Answer:

If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

Step-by-step explanation:

Airida [17]3 years ago
4 0

Answer:

You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.

Step-by-step explanation:

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There are 3.79 L in every gallon how many liters of gas does a 13.6 gallon tank hold
Zinaida [17]

Answer:

51.544 L  in our tank

Step-by-step explanation:

We have a 13.6 gallon tank

Our conversion factor is 3.79 L = 1 gallon.  We want liters on top since that is where we want to end up

3.79 L /1 gallon is what we want to use

13.6 * 3.79L/1 gallon = 51.544 L  in our tank

4 0
3 years ago
Unit 3 Exam
lbvjy [14]

Answer:

Scalene is the right option.

Step-by-step explanation:

A scalene triangle has all its sides of different lengths.

6 0
3 years ago
What is the value of x?​
bekas [8.4K]

Answer:

I can not see the picture.

Step-by-step explanation:

5 0
3 years ago
Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. I
xxTIMURxx [149]

Answer:

t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971    

p_v =2*P(t_{(1699)}>1.971)=0.049  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

Step-by-step explanation:

Data given and notation  

\bar X=669 represent the sample mean

s=732 represent the sample standard deviation

n=1700 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0. 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 is different from 634, the system of hypothesis would be:  

Null hypothesis:\mu = 634  

Alternative hypothesis:\mu \neq 634  

If we analyze the size for the sample is > 30 but 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{669-634}{\frac{732}{\sqrt{1700}}}=1.971    

P-value

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

df=n-1=1700-1=1699  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(1699)}>1.971)=0.049  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

3 0
3 years ago
Consider the statements below. Which are not propositions? Mark all that apply.
Troyanec [42]

Answer:

In Idaho, there are 15 temples for the Church of Jesus Christ of Latter-day Saints.

A delicious chocolate cake.

The great and spacious building.

3+5=8

5+3=53

Step-by-step explanation:

To determine which statement is a propositions or not first, we need to define the concept of preposition:

<em>A statement that can be either true or false.</em>

That means it should declare unequivocal information about something.

A question is not declaring something to be true or false. Therefore, it is not a proposition.

The recommendation of "should get" is not a direct statement.

No way! is not referring to anything to be either true or false.

7 0
3 years ago
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