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Sphinxa [80]
2 years ago
7

Need help with writing proof for this (Questions 12 and 13)

Mathematics
1 answer:
HACTEHA [7]2 years ago
4 0

Answer:

Step-by-step explanation:

12.

Statements:

1. RS bistecs PQ at T; PQ bisects RS at T.

2. RT is congruent to ST; PT is congruent to QT.

3. Angle T is congruent to angle T.

4. Triangle PTS is congruent to triangle QTR.

Reasons:

1. Given.

2. Definition of a bisector of a line segment.

3. Reflexive Property.

4. SAS Postulate

13.

Statements:

1. AB is congruent to AD; AC bisects angle BAD.

2. Angle BAC is congruent to angle DAC.

3. AC is congruent to AC.

4. Triangle ABC is congruent to triangle ADC.

Reasons:

1. Given.

2. Definition of a bisector of an angle.

3. Reflexive Property.

4. SAS Postulate.

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Which table has a constant of proportionality less than 5?​
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Answer:

B

Step-by-step explanation:

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2 years ago
What is the value of x for 7x - 12 y = 180 / 7x = 84
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eq^2: 7x=84 divide 84 by 7 which is 12.

therefore x is equal to 12. Then

1) take that 12 you got in equation 2 and substitute in equation 1 which is:

7x-12y=180

7(12)-12y=180

84 -12y=180

-12y=180-84

-12y=96 ............divide both sides with -12

-y=8 (×-1) both sides

y= -8

therefore 7(12)-12(-8)=180

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3 years ago
Find the sum of the first 12 terms of geometric sequence 3,-9,27-81,243
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Answer:

3, -9, 27,-81,243,-729,2187,-6561,19683,-59049,177147,-531441

the sum is −398,580

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2 years ago
The ratio of chocolate mints to green mints in a bag is 3:5. After John ate half of the green mints and only one chocolate mint,
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Does the question start with how many were in the bag originally?

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How much money does the average professional hockey fan spend on food at a single hockey​ game? That question was posed to 10 ra
Vinil7 [7]

Answer:

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

18-2.262\frac{2.75}{\sqrt{10}}=16.03    

18+2.262\frac{2.75}{\sqrt{10}}=19.97    

Step-by-step explanation:

Information given

\bar X=18 represent the sample mean

\mu population mean (variable of interest)

s=2.75 represent the sample standard deviation

n=10 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=10-1=9

The Confidence is 0.90 or 90%, the significance is \alpha=0.1 and \alpha/2 =0.05, and the critical vaue would be t_{\alpha/2}=2.262

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

18-2.262\frac{2.75}{\sqrt{10}}=16.03    

18+2.262\frac{2.75}{\sqrt{10}}=19.97    

5 0
2 years ago
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