Triangle ABC was dilated and translated to form similar triangle A'B'C'. On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).

What is the scale factor of the dilation?

One-fifth
Two-fifths
Five-halves
5

Dilation is done by the scale factor of Five-halves.

Step-by-step explanation:

Please refer to the image attached,

The graph clearly shows the triangles ABC and A'B'C'.

Let us calculate the sides of triangles first then we will be able to find scale factor of dilation.

Using the distance formula:

Distance between 2 points is given by formula:

PQ =

Side AB is along x-axis, side AB =

Similarly side, BC = 2 units

Now, in A'B'C', A'B' can be calculated by distance formula:

B'C' = 5 units

The ratio of sides:

AB : A'B' = 2:5

So, scaling factor is or 2.5.

OR

Scaling factor is Five-halves.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

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1

+

20

100

)

=

$

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in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

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so technically the answer is  

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$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

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$

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$

14.52

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←

add

$

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tax  

8

100

×

$

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$

6.97

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$

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related questions

c

step-by-step explanation: