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ArbitrLikvidat [17]
3 years ago
9

For ΔABC, ∠A = 2x - 2, ∠B = 2x + 2, and ∠C = 5x. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A

' = 58 - x, ∠B' = 3x - 18, and ∠C' = 120 - x, which confirms that ΔABC∼ΔA'B'C by the AA criterion?
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

<em>the answer is D.</em>

Step-by-step explanation:

Bad White [126]3 years ago
4 0
The correct answer for the question that is being presented above is this one: "C) ∠B = ∠B' = 33° and ∠C = ∠C' = 80° ."
A triangle has a total of 180 degrees.In order to get x:180 = 4x + 7 + 2x + 3 + 6x -10180 = 12x - 0 x = 15
∠A = 4x + 7 = 67∠B = 2x + 3 = 33∠C = 6x - 10 = 80
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Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin
NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)  

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

2) Confidence interval

Assuming that \bar X =5.5 and the ranfom sample n=1086.

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

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

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=1086-1=1085

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that t_{\alpha/2}=2.33

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

5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139    

5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861

So on this case the 95% confidence interval would be given by (5.139;5.861)    We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

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3 years ago
If it is 2:20 what time would it be 1 hour and 30 minutes later
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Answer:

I would say 3:30

Step-by-step explanation:

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3 years ago
Work out 2/15 of 5 Give your answer as a fraction in its simplest form.​
docker41 [41]

Answer:

2/3

Step-by-step explanation:

2/15 of 5

Of means multiply

2/15 * 5

Multiply the numerators

2*5 = 10

Put over the denominator

10/15

We can divide the top and bottom by 5

10/5 =2

15/5 =3

2/3

5 0
1 year ago
I need to know how to subtract fractions 4 2/3 - 3/4
sergij07 [2.7K]

Answer: The answer would be 3.91666666667

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3 years ago
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