1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nekit [7.7K]
3 years ago
13

Which transformation, when performed on the triangle ABC, will result in the transformed figure A'B'C being similar but NOT cong

ruent to the original triangle?
Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

b. a dilation by a scale factor of 2

Step-by-step explanation:

Which transformation, when performed on the triangle ABC, will result in the transformed figure

A'B'C' being similar but NOT congruent to the original triangle?

a. a reflection over the x-axis

b. a dilation by a scale factor of 2

C.a translation two units to the right

d. a rotation 90° clockwise about the origin

Solution:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rigid transformation are transformation that preserves the size and shape of a figure. Examples of rigid transformation are reflection, translation and rotation.

Dilation preserves the shape but not the size of a figure.

If translation, rotation or reflection is done on triangle ABC, the transformed figure would be congruent to the original triangle. But, if dilation is done, the transformed figure would be similar but NOT congruent to the original triangle.

You might be interested in
Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
3 years ago
In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation Y=mx +b, where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

\sum_{i=1}^n (x_i -\bar x)^2 =98775

\sum_{i=1}^n (y_i -\bar y)^2 =19.4

\bar x =26.36

\bar y =0.5188

n= 40  represent the sample size

\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94

The total sum of squares is given by this formula:

SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}

And if we replace the values given we have:

m=\frac{796.94}{98775}=0.008068

We have another useful equation in order to find the sum of squares for the regression, given by:

SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430

And we know this equivalence:

SST= SSR+SSE

And solving for the sum of squares for the error we have:

SSE=SST-SSR=19.4-6.430=12.97

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0
3 years ago
Help me please help me, I need the answer because only have 1 hour for finish and my grades is so bads and these is extra credit
LekaFEV [45]

Answer:wow

Step-by-step explanation:sad

8 0
3 years ago
Asap! super urgent! help me outtt :'(
mrs_skeptik [129]

Answer:

3/47

Step-by-step explanation:

of the 47 total cars, 3 of them are a beige SUV

8 0
3 years ago
Read 2 more answers
Need help!!!
Assoli18 [71]

Answer:

73 mph during the second hour!

Step-by-step explanation:

Hour 1=54 mph

Hour 2=? mph

Hour 3=82 mph

Total=209 mph

this means that 209=82+54+?

Simplify it and you will get 73

73 mph

7 0
3 years ago
Read 2 more answers
Other questions:
  • State whether the equation represents exponential growth, exponential decay, or neither. y=2*0.68^x
    8·2 answers
  • The _____ of an angle is the ratio of the adjacent leg length to the hypotenuse length.
    9·2 answers
  • Pls help it’s math homework
    6·2 answers
  • I’m stuck on this one help anyone?
    7·1 answer
  • What is A number that when you add 4 and then divide the sum by 2 will equal 6.
    13·1 answer
  • Find the area of the shaded portion below.
    6·2 answers
  • Use the graph of the polynomial function to find the factored form of the
    9·1 answer
  • A train travels 558 miles in 3 hours. At this rate, how far does the train travel
    7·1 answer
  • What is If x represents the unknown part, which of the following shows a valid set of steps that can be used to find 15% of 30?
    12·1 answer
  • A bag contains 6 red tiles and 15 yellow tiles. Lilla removes 2 red tiles. How many yellow tiles should she remove so that the r
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!