All categories

3 years ago

55) A dilation of scale factor of 4 will produce a congruent figureTrue or False

Mathematics

1 answer:

vivado [14]3 years ago

6 0

Answer:

False

Step-by-step explanation:

When a figure is dilated by a scale factor of 4, the new figure produced will be 4 times the size of the original figure. This means that, the size would change while the shape remains the same as the original figure.

Congruent figures must have the same shape and size.

Therefore, the figure produced when a dilation of scale factor of 4 is done is not a congruent figure. Rather, it is a similar figure.

So, get statement is FALSE.

You might be interested in

A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic

aliya0001 [1]

Answer:

P-value = 0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, $\bar{x}$ = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699$

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

We can calculate the p-value with the help of standard normal table.

P-value = 0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

7 0

3 years ago

Which diagram shows the correct cuts?

USPshnik [31]

I need to see the diagrams to tell you.

5 0

3 years ago

In a group of 60 workers, the average salary is $80 a day per worker. if some of the workers earn $75 a day and all the rest ear

Softa [21]

The total number of workers that earn $75 per day is 48

<h3>What is average salary?</h3>

The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.

Given that:

In a group of 60 workers, the average salary is $80 a day per worker.

If some of the workers earn $75 a day and all the rest earn $100 a day.

Let 'x' be the total number of workers that earn $75 per day.

So, the total number of workers that earn $100 per day is (60 - x).

As the average salary of 60 workers is $80.

Then,

$\frac{75x + 100(60-x)}{60} =80$

or, 75 x + 6000- 100x = 80*68

or, -25x= -1200

x= 48

So, the total number of workers earn $75 per day is 48.

Learn more about the concept here:

brainly.com/question/21835898

#SPJ1

4 0

2 years ago

The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference b

VMariaS [17]

28.3

Step-by-step explanation:

the difference is the answer to a subtraction problem so we can plug in our numbers like this

25.6-(-2.7) which equals 28.3

a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example

4 0

2 years ago

If you apply the changes below to the linear parent function, Fx) = x, what is

Inga [223]

Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.

5 0

3 years ago

55) A dilation of scale factor of 4 will produce a congruent figureTrue or False​

55) A dilation of scale factor of 4 will produce a congruent figureTrue or False