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Vedmedyk [2.9K]
1 year ago
15

How can I make sure that each point of a Triangle was reflected across the line?

Mathematics
1 answer:
larisa86 [58]1 year ago
4 0

For example, for A and A'

Let:

R=(0,0) the reference point:

\begin{gathered} \text{Distance between A and R:} \\ d=\sqrt[]{(4-0)^2+(2-0)^2}=2\sqrt[]{5} \\ \text{Distance between A' and R} \\ d=\sqrt[]{(4-0)^2+(-2-0)^2}=2\sqrt[]{5} \end{gathered}

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The number of days each licensed driver in Marion County uses a commuter rail line annually is normally distributed with mean 66
alexira [117]

Answer:

31.5 days

Step-by-step explanation:

We.solve using z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

The 5th percentile z score = -1.645

Mean = 66

Standard deviation = 21

Hence:

-1.645 = x - 66/21

-1.645 × 21 = x - 66

-34.545 = x - 66

-34.545 + 66 = x

x = 31.455 days

Approximately to the nearest round integer

= 31.5 days

Therefore, driver use a commuter rail line 31.5 days annually to be in the top 5% of rail users

3 0
3 years ago
Rewrite the equation by completing the square.<br> 6 - 16 = 0<br> (x +
Nady [450]

Answer:

6-16=10x here is you answer

6 0
3 years ago
Read 2 more answers
Find the slope (m) of the line containing the points (1, 2) and (2, 5).
Vladimir [108]

Answer:

<h2>3</h2>

Step-by-step explanation:

<h3>Step 1: Identify two points on the line</h3>

1,2 & 2,5

<h3>Step 2: Select x1, y1 & x2, y2</h3>

x1 = 2, y1 = 5     x2 = 1, y2 = 2

<h3>Step 3: Use the Slope Formula</h3>

change y/ change x

<u><em>IMPORTANT: it is change in y over change in x, not the other way around. It will be wrong if done the other way, though that would seem to be more logical, since x is the first variable in the pair.</em></u>

Y   5 -2 = 3        

X   2 - 1 = 1

3/1 = 3

<em>PLEASE MARK BRAINLIEST</em>

5 0
3 years ago
If we collect experimental data on alcohol consumption from the same 100 individuals before and then after a course on the dange
Aleks [24]

Answer: D) randomized comparative design

Step-by-step explanation:

Randomized comparative design is an experiment which uses comparison of two or more treatments, also known as an experiment designed to show differences between two samples or populations which have being exposed to two different conditions or treatments are compared to each other. In the question above data collected before was compared to data gotten after the dangers of alcohol.

5 0
3 years ago
On February 27 you win a raffle and receive the grand prize of $4000. You decide to invest it into a money market account that i
Novay_Z [31]

Answer:

The approximate value of the investment in one year is 4183.

Step-by-step explanation:

The formula for finding the compound interest for one year that compounded quarterly is :

A = P(1 + \frac{r}{400} )^{4t}

Here,

P - Principal = 4000

r - 4.5%

t - 1

Therefore,

A = 4000(1 + \frac{4.5}{400} )^{4}

= 4000(1.01125)^{4}

= 4000(1.04577)

= 4183.08

Hence, the approximate value of the investment in one year is 4183.

5 0
3 years ago
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