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sdas [7]
3 years ago
12

Look at the proof. Name the postulate you would use to prove the two triangles are congruent.

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer:

Option C, SAS Postulate

Step-by-step explanation:

<em>I think that it is option C because it does not give you 3 angles or 3 sides, it gives you 2 angles and 1 side.</em>

<em />

Answer:  Option C, SAS Postulate

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Please help me. I'm desperate
Flauer [41]
Ok so x is the original price and we want to solve if the original price was 48 so x=48. When we substitute this into the equation we get 0.75(48)-0.15(0.75x48). When we simplify this expression we get 30.6. The current price is $30.60. Hope this helps.
7 0
3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is
anastassius [24]

Answer:

t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202    

p_v =2*P(t_{(60)}>1.202)=0.234  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from  420. So the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=424 represent the sample mean

s=26 represent the sample standard deviation

n=61 sample size  

\mu_o =420 represent the value that we want to test

\alpha=0.01 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 true mean is different from 420 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 420  

Alternative hypothesis:\mu \neq 420  

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{424-420}{\frac{26}{\sqrt{61}}}=1.202    

P-value

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

df=n-1=61-1=60  

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

p_v =2*P(t_{(60)}>1.202)=0.234  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from  420. So the specification is satisfied.

4 0
3 years ago
Inequality for thirty is no greater than the sum of a number and -8
Alecsey [184]

Answer:

30≤-8+x

Step-by-step explanation:

The wording no greater then lets us know that  the inequality is less than or equal to. The wording sum means the its adding the number and negative 8. Lets have x represent the unknown number.

30≤-8+x

7 0
3 years ago
( 2x + 1 ) + ( 3x+2 ) =
MrRa [10]

Answer: 5x+3

Let's go over this problem step by step:

First, you need to combine all the line terms.

2x + 1 + 3x + 2

Next, you get this equation:

( 2x + 3x ) + ( 1 + 2 )

2x and 3x is 5x. 1 and 2 is 3.

So your final answer is 5x+3.

7 0
3 years ago
3x^2-12x-21=0 solve by completing the square
morpeh [17]

Answer:

x = 2 ± √11 (I believe)

Step-by-step explanation:

3 0
3 years ago
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