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VikaD [51]
3 years ago
15

nilda purchased some custom printed stationery with her initials.what transformations could be used if the letter "Z" is the pre

image and the letter "N" is the image in the design shown?Are the two figures congruent?

Mathematics
1 answer:
LenKa [72]3 years ago
3 0
Given:
letter Z is the pre image
letter N is the image in the design shown.

Letter Z would be rotated 90° clockwise then followed by a translation. The two figures will still be congruent because the pre image was neither enlarged nor contracted in order to produce the image shown in the design

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Answer:

A. $1,110

B. 50 units.

Step-by-step explanation:

A. Substitute x=18 into the function T(x)=4x+2 for calculate the time in hours required for the worker to produce 18 units:

T(18)=4(18)+2=74

Now you need to substitute T=74 into the function S(T)=15T to calculate the amount in dollars she will be paid for 74 hours:

S(74)=15(74)=1,110

She will be paid $1,110.

B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute S(T)=3,030 into the function S(T)=15T and solve for T (to find the number of hours she requires to work to be paid $3,030)

3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202

Now, substitute T(x)=202 into T(x)=4x+2 and solve for x, to calculate the number of units she produces in 202 hours:

202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50

She would need to produce 50 units to be paid $3,030

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Answer:

Step-by-step explanation:

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