All categories

3 years ago

The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′. Which statement correctly describes the relationship between △DEF and △D′E′F′ ?

2 answers:

6 0

Answer: B. The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Step-by-step explanation:

Given : The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.

We can see that a scale factor (2) is used in the above rule.

Rigid motions do not use any scale factor.

The transformation that uses scale factor to transforms figure is dilation.

And Dilation is not rigid motion because it does not produce congruent images.

Hence, The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

DerKrebs [107]3 years ago

3 0

I think it would be C. Hope this helps. Good luck.
can i get brainliest answer?

You might be interested in

X and Y are supplementary angles. Y measures 156 degrees. What is the measure of X

asambeis [7]

Answer:

Supplementary = two angle together is 180 degrees

Step-by-step explanation:

180-156= 24

24 degrees is X

4 0

3 years ago

Read 2 more answers

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

m = $\frac{1}{20}$
μ = 20
σ = 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable X follows an exponential distribution with parameter m.

The decay parameter is, m.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

Given: The decay parameter is, $\frac{1}{20}$

X is defined as the distance people are willing to commute in miles.

The decay parameter is m = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

4 years ago

What is 2 2/3 + 4 1/6 = ?

solong [7]

6 and 1/2, or 6 and 3/6

4 0

3 years ago

In the figure FAC=GBC. find DBC

kozerog [31]

So angle DBC is equal to 180° - 28° which is 152°

~~

I hope that helps you out!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

5 0

3 years ago

Read 2 more answers

Evaluate 2a + 4b if a = 10 and b = 6

iris [78.8K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers