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1 year ago

5

Triangle \triangle A'B'C'△A

1 answer:

Harrizon [31]1 year ago

6 0

From the information given, the rotated triangle is same as the original triangle. This is because, vertices of the rotation remain at the origin - (0,0).

<h3>What is the proof the above?</h3>

Notice that the question states: △A'B'C' is the image of △ABC. Given that the △ without primes is the original and the one with primes depict the rotated triangle,

under a rotation about the origin, (0,0) (0,0) (0, 0), indicating no movement,

△A'B'C' is in the same position with △ABC.

Learn more about rotation at:
brainly.com/question/27915888
#SPJ1

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The quantity demanded each month of the walter serkin recording of beethoven's moonlight sonata, manufactured by phonola media,

Olenka [21]

We can get the Profit function P(x) from the Hint.

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2 years ago

X=-4 +6+ (11 +4(-3))

lapo4ka [179]

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

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2 years ago

The equation of a line is X+3Y=14<br> what is the y-intercept of the line?

vodka [1.7K]

X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3

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2 years ago

Read 2 more answers

A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur

Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.8}{2} = 0.1$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.1 = 0.9$ , so Z = 1.28.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.28\frac{1.5}{\sqrt{305}} = 0.1$

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0

3 years ago

If DM = 35, what is the value of r?

Gennadij [26K]

Answer:

$r = 11$

Step-by-step explanation:

Given

$DM = 35$

$DG = r + 5$

$GM = 3r - 14$

Required

Find r

From the question, we understand that G is a point between D and M:

This implies that:

$DM = DG + GM$

Substitute values for DM, DG and GM

$35 = r + 5 + 3r - 14$

Collect Like Terms

$r + 3r = 35 - 5 + 14$

$4r = 44$

Solve for r

$r = 44/4$

$r = 11$

3 0

3 years ago