Triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x′y′z′, with vertices x′(4, -2), y′(4, -3), and z′(1, -4). the type of transformation that triangle xyz undergoes is a

translation 2 units left and 6 units up
reflection across the x-axis
reflection across the y-axis
translation 6 units right and 2 units down
dilation by a scale factor of 2

triangle x′y′z′ then undergoes a transformation to form triangle x′y′z′, with vertices x″(4, 2), y″(4, 3), and z″(1, 4). the type of transformation that triangle x′y′z′ undergoes is a

translation 4 units up
reflection across the x-axis
reflection across the y-axis
translation 6 units right and 2 units down
dilation by scale factor of 2

Given : Δ XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form Δ X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4).

We can see that the x-coordinate of X (-2) moves 6 units to the right (i.e. -2+6) to get x-coordinate of X'(4).

[∵ -2+6=4]

Similarly,  x-coordinates of Y (-2) and Z'(1) moves 6 units to the right to get x-coordinate of Y'(4) and Z'(1) respectively.

Also, the y-coordinate of X (0) moves 2 units to the down to get y-coordinate of X'(-2).

[∵ 0-2=-2]

Similarly,  y-coordinates of Y (-1) and Z'(-2) moves 2 units to the down to get x-coordinate of Y'(-3) and Z'(-4) respectively.

Therefore, Δ XYZ undergoes a translation of 6 units right and 2 units down.

Also,  it is given that :- Δ X′Y′Z′ then undergoes a transformation to form Δ X′Y′Z′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4).

We note that the x-coordinate of each corresponding points remains sam but the sign of y-coordinate changed.

It happens if the figure undergoes under reflection across the x-axis.

Therefore,  Δ X′Y′Z′ undergoes a reflection across the x-axis.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

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

−−−−−−  

so technically the answer is  

→

$

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

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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