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ioda
2 years ago
12

Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly descri

bes the resulting image, triangle ?
Image of right triangle ABC in a graph with vertices A (minus 4, minus 2), B (4, minus 2), and C (4, 4)
A.
The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.
B.
Both the reflection and dilation preserve the side lengths and angles of triangle .
C.
Neither the reflection nor the dilation preserves the side lengths and angles of triangle .
D.
The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.
Mathematics
1 answer:
love history [14]2 years ago
4 0

Answer:

  A.  The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.

Step-by-step explanation:

Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.

<h3>Application</h3>

The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.

The appropriate description is that of choice A.

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Answer:

A

Step-by-step explanation:

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3 years ago
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Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo
jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

\begin{array}{rrrr}\mathbf{x} & \mathbf{y}  & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}

2. Calculate the coefficients in the regression equation

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} =  \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}

b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

 

4 0
4 years ago
Company A has 400 employees and Company B has 500 employees. Among these employees, there are 50 married couples, each consistin
abruzzese [7]

Answer:0,0025

Step-by-step explanation:

P(select a married couple) = P(person selected from Company A is one of the 50 with spouse at Company B) x P(person selected from Company B spouse of person already selected from Company A)

Now you can substitute the respective probabilities .

= (50/400) x (1/500)

= 0,0025

8 0
3 years ago
Bob’s gas tank is 1/2 full. After he buys 3 gallons of gas, it is 2/3 full. How many gallons can Bob’s tank hold?
ankoles [38]
The answer is his tank can hold 15 gallons i think
8 0
4 years ago
An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is t
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Answer:

Building is 56.58 feet long.

Step-by-step explanation:

Consider the provided information.

An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.

When the photograph is taken, the angle of elevation of the sun is 30°.

By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 98 feet long.

As we know: \tan\theta=\frac{opp}{adj}

The value of tan 30 degrees is \frac{1}{\sqrt{3} }

\tan30=\frac{h}{98}

\frac{1}{\sqrt{3}}=\frac{h}{98}

h=\frac{98}{\sqrt{3}}

h=56.58

Hence, Building is 56.58 feet long.

8 0
4 years ago
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