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astraxan [27]
4 years ago
14

Diagonals make 45 degree angles with the sides of a square. true or false?

Mathematics
1 answer:
Dima020 [189]4 years ago
8 0
True, because the sides of a square are usually 90 degrees, and when you add a diagonal it should split that in half. 
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Find the measure of each angle indicated and please explain how you got that answer if you can ​
MrRa [10]
#15- The answer should be 35.
In the photo I included, both points A and B are equal, because they are intersecting. To get the measurement for these angles, you add 40+40 to get 80. We know that three angles in a triangle need to add up to 180, so you would subtract 80 to get 100. If point A and B are 100, that means you can add 100+45 to get 145, and subtract that from 180 to get your answer. (35)

#16- The answer should be 42. Using the same logic as before, take away 80+40 from 180 to get 60 for points A and B. Then you would subtract 78+60 from 180 to get your answer. (42)

#17- The answer should be 108. You need to find the final angle of the triangle by subtracting 37+71 from 180. This would equal 72. Since the angle of a line is 180 degrees, you would subtract 72 from 180 to get the finished product. (108)

#18- The answer should be 35. You would start by finding the bottom left angle. You would use the same logic as I did in #17 by subtracting 180-126. This tells you that the bottom left angle in the triangle is 54. Then you would subtract 91+54 from 180 to get your answer. (35)

I hope this helps and that it wasn’t too confusing. #17 and #18 aren’t my strong suit, so I’m sorry if I’m wrong. Please mark brainliest!

3 0
3 years ago
A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious
Dominik [7]

Answer:

Part1) z=\frac{16.32-16}{\frac{0.8}{\sqrt{30}}}=2.191    

p_v =2*P(Z>2.191)=0.0284

Readjustment is needed

Part 2)  z=\frac{15.82-16}{\frac{0.8}{\sqrt{30}}}=-1.232    

z=\frac{15.82-16}{\frac{0.8}{\sqrt{30}}}=-1.232    

p_v =2*P(Z

No readjustment is needed

Step-by-step explanation:

Data given and notation

Part 1    

\bar X=16.32 represent the sample mean    

\sigma=0.8 represent the population standard deviation    

n=30 sample size    

\mu_o =16 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

z 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 apply a two tailed test.    

What are H0 and Ha for this study?    

Null hypothesis:  \mu =16    

Alternative hypothesis :\mu \neq 16    

Compute the test statistic  

The statistic for this case is given by:    

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)    

z-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:    

z=\frac{16.32-16}{\frac{0.8}{\sqrt{30}}}=2.191    

Give the appropriate conclusion for the test  

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

p_v =2*P(Z>2.191)=0.0284

Using the value of \alpha =0.05 we see that pv and we have enough evidence to reject the null hypothesis.

Readjustment is needed

The rejection zone is given by:

(-\infty ;-1.96) , (1.96;\infty)    

Part 2

\bar X=15.82 represent the sample mean    

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

z=\frac{15.82-16}{\frac{0.8}{\sqrt{30}}}=-1.232    

Give the appropriate conclusion for the test  

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

p_v =2*P(Z

Using the value of \alpha =0.05 we see that pv>\alpha and we have enough evidence to FAIL to reject the null hypothesis.

No readjustment is needed

The rejection zone is given by:

(-\infty ;-1.96) , (1.96;\infty)  

What action would you recommend ?

Review the procedure.

Do you reach the same conclusion ?

No we got different conclusions

5 0
4 years ago
The fish population in a local stream is decreasing at a rate of 3% per year. The original population was 48,000. Write an expon
ElenaW [278]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Decrease rate (d)= 7%

Number of periods (n)= 7 years

Current population (PV)= 48,000

<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>

<u />

FV= PV*[(1+d)^-n]

<u>After 7 years:</u>

FV= 48,000*(1.07^-7)

FV= 29,892

8 0
3 years ago
What’s the correct answer for this?
Nuetrik [128]

Answer:

B and C

Step-by-step explanation:

The correct option are

B) a cross section of rectangular pyramid perpendicular to the base

C) a cross section of a rectangular prism that is parallel to it's base

7 0
3 years ago
2.) The distance between the entrance of a park and a waterfall on the graph is 4 1/2 inches. Use the scale to
Tresset [83]

Answer:

Step-by-step explanation:

if 3 inches is ................................................2.5 miles

  4.5 inches.................................................? miles

=4.5*2.5/3=3.75 miles

choice C

4 0
3 years ago
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