Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below:

Mathematics

1 answer:

Nataliya [291]2 years ago

4 0

Answer:

90° clockwise rotation or 270° anticlockwise rotation

Step-by-step explanation:

(x,y)=(y,-x)

E(-6,-4)=E'(-4,6)

F(-4,-4)=F'(-4,4)

G(-2,-6)=G'(-6,2)

H(-7,-7)=H'(-7,7)

Therefore, E prime is (-4,6), F prime is (-4,4), G prime is (-6,2) and H prime is (-7,7).

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Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for $12.65. Mary Ann bought 6 of each for $12.30.

sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

Bill's equation is 5p+7d=$12.65.
Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you $p=\frac{12.65-7d}{5}$ . Then, you can substitute that into Mary Ann's equation. This looks like $6\cdot \frac{12.65-7d}{5}+6d=12.3$ . Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.