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n200080 [17]
3 years ago
14

The contrapositive of the following statement is true “If two angles are vertical angles, then they are congruent”

Mathematics
1 answer:
german3 years ago
6 0
Yes, that is true. They should have the same degrees
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Solve the system by substitution. Check your solution.
Zepler [3.9K]

Answer:

a.  (15, 15)

Step-by-step explanation:

We start with those two equations:

1) a - 1.2b = -3

2) 0.2b + 0.6a = 12

We'll begin by modifying equation #1 to isolate a:

a = -3 + 1.2b

Then we'll use this value for a in the second equation:

0.2b + 0.6 (-3 + 1.2b) = 12

0.2b - 1.8 + 0.72b = 12

0.92b = 13.8

b = 15

Then we'll place that value of b in the first equation to find a:

a - 1.2 (15) = -3

a - 18 = -3

a = 15

3 0
3 years ago
A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxi
Setler79 [48]

Answer:

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7787.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7787\frac{6.9}{\sqrt{27}} = 3.7

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.

The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

6 0
2 years ago
Can someone tell me everything they know about Introducing Proportional Relationships?
Nookie1986 [14]

Answer:

1.Radius if half of diameter

2.If you want  to get to circumference it diameter x 3.14

3.To find area of circle r x r x 3.14

4.From circumferenc to diameter it is circumfrence

divided by 3.14

4 0
3 years ago
How many solutions does this linear system have?
gayaneshka [121]

Answer:

One solution: (2.5,0)

Step-by-step explanation:

We can use substitution for the solution. Substitute y=2x-5 to -8x-4y=-20 so that you end up with -8x-8x+20=-20. Next you want to add like terms which will be -16x+20=-20, next you want isolate x by subtracting 20 from both sides and leaves you with -16x=-40. Divide -16 on both sides to fully isolate x and will leave you with x=2.5. Now substiture in 2.5 for x in y=2x-5 to get y=2(2.5)-5 which will then lead to y=0.

4 0
3 years ago
ANSWER QUICKLY! I GIVE BRAINLIEST!!
julsineya [31]

Answer:

(10,27)

Step-by-step explanation:

Hope this helps!!! :)

8 0
3 years ago
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