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antoniya [11.8K]
3 years ago
11

if pentagon abcd was reflected over the axis y-axis, reflected over the x-axis, and rotated 180, where would be point A' lie

Mathematics
1 answer:
frez [133]3 years ago
4 0
A reflection over the x axis coupled with another reflection over the y axis leads to a rotation of 180 degrees. 

In other words,

Start with point A. Reflect over the x axis to get point B. Reflect B over the y axis to get point C. To go from A to C, we can rotate A 180 degrees about the origin.

----------------

So this means that if we do those reflections and then do the rotation, then we end up back where we started. Wherever point A is located, the point A' will also be located at the same position with the same coordinates. 
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\frac{\text{ over time minutes }}{\text{ cost for overtime minute}} = \frac{42}{14.7}

The ratio of overtime minutes to the cost of those minutes is 42 : 14.7

<em><u>Solution:</u></em>

Kayla went over the allotted cell phone minutes this month by 42 minutes

Therefore,

over time minutes = 42 minutes

Her regular bill is $39.95, but this month is was $54.65

Regular bill = $ 39.95

This month bill = $ 54.65

<em><u>Therefore, cost for overtime minute is given by:</u></em>

cost for overtime minute = This month bill - regular bill

cost for overtime minute = $ 54.65 - $ 39.95

cost for overtime minute = 14.7

<em><u>Thus ratio of over time minutes to cost of those minutes is given by:</u></em>

\frac{\text{ over time minutes }}{\text{ cost for overtime minute}} = \frac{42}{14.7}

Thus the required ratio is found

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Step-by-step explanation:

 

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