Last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching the of her cage. zoe ran on her wheel at least twice as long as she scratched at the corners of her cage, and she spent more than 1/4 hour running on her wheel. if x is the number of hours zoe spent running on her wheel and y is the number of hours spent scratching her cage, which of the systems of inequalities represents the time zoe kept julie awake last night if x is the number of hours zoe spent running on her wheel and y is the number of hours spent scratching her cage?

, , x > 1/4 and is the systems of inequalities that represent the time Zoe kept Julie awake last night.

Step-by-step explanation:

Since, Here x is representing the number of hours Zoe spent running on her wheel and y is representing the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

That is,

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

That is, ,

Also, She spent more than 1/4 hour running on her wheel.

That is, x > 1/4

And, we know that number of hours can not be negative.

That is,

Therefore, the complete system of inequality which shows the given situation,

,

,

,

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: