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Nadya [2.5K]
3 years ago
15

What is the coordinates of T' if T(-4,2) after a rotation of the triangle 180°about the origin?​

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer:

T'(4, -2)

Step-by-step explanation:

Rotation 180° about the origin (same as reflection across the origin) negates both coordinates:

T' = -T = -(-4, 2)

T' = (4, -2)

You might be interested in
The range of the data
Natali [406]
The range refers to the area where the data points fall from the lowest to highest. Here, the lowest point is 437 and the highest is 1465. So the range is from 437 to 1465

Hope this helps
7 0
3 years ago
Suppose a researcher is interested in understanding the variation in the price of store brand milk. A random sample of 36 grocer
liberstina [14]

Answer: ($3.055, $3.205)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.95=0.5

Critical value : z_{\alpha/2}=1.96

Sample size : n= 36

Sample mean : \overline{x}=\$\ 3.13

Standard deviation : \sigma= \$\ 0.23

The confidence interval for population mean is given by :_

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

\text{i.e. }\$\ 3.13\pm (1.96)\dfrac{0.23}{\sqrt{36}}\\\\\approx\$\ 3.13\pm0.075\\\\=(\$\ 3.13-0.075,\$\ 3.13+0.075)=(\$\ 3.055,\$\ 3.205)

Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)

3 0
3 years ago
How do you convert a whole number to a fraction?
Maslowich

Answer:

Step-by-step explanation:

Example 1: Changing the whole number 5 into a fraction.

Take the whole number (5), add a line below it (/), then add a 1 to the denominator.

5 = 5/1

Example 2: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.

5 = (5*2)/2 = 10/2

***This can be reduced to 5/1***

Example 3: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.

5 = (5*3)/3 = 15/3

***This can also be reduced to 5/1***

If you follow the pattern, you will realize all whole numbers are fractions already.

They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.

A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.

I hope this helps.

8 0
3 years ago
Which choice shows the following fractions with a common denominator? 3/4 and 5/6​
Roman55 [17]

Answer:

9/12 and 10/12

Step-by-step explanation:

The LCD is the smallest number divisible by both 4 and 6, and that is 12.

Thus, 3/4 and 5/6 are equivalent to 9/12 and 10/12 .

Next time, kindly share the answer choices.  Thank you.

4 0
3 years ago
Solve for x in the figure below. Write your answer in simplest radical form. X = ____
Gnesinka [82]
A^2+b^2=c^2
7^2+11^2=?
49+121=170
x= Square root of 170

Hope this helps!! :)
7 0
2 years ago
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