Answer: 
, 
, 
and 
Step-by-step explanation:
Here, x represents the number of hours Zoe spent running on her wheel and y represents 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.
⇒
She ran on her wheel at least twice as long as she scratched at the corners of her cage.
⇒
Also, She spent more than 1/4 hour running on her wheel.
⇒
And, we know that number of hours can not be negative.
⇒
Therefore, the complete system of inequality which shows the given situation is,
, and ,
Note: the feasible region ( covered by the given system) is shown in the below graph.
Counting by Tens with numbers
10, 20, 30, 40, 50, 60, 70, 80, 90
Counting by Tens with words
ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, one hundred
Number Patterns when counting by Tens
When you count by tens the numbers create a pattern. All the numbers end with a zero. The first digits are just like the numbers when you count (1, 2, 3, 4, 5, etc.). This pattern gives the numbers 10, 20, 30, 40, 50, etc.
found from: http://www.aaamath.com/k4c_cox1.htm
The two lines start at the same point outside the circle, using the intersecting Secants theorem, When you multiply the two dims for each line together, they are equal
For A:
5 * (5+x) = 6 * (6+4)
25 + 5x = 60
5x = 35
x = 35/5
x = 7
For B:
5 * (5+ 3) = 4 * ( 4+x)
40 = 16 + 4x
4x = 24
x = 24/4
x = 6
ANSWER: $ 912 .
________________________________
Explanation:
_______________________________
75x + 12 = ?
_____________________
Substitute "12" for "x" ; to solve:
______________________________
75*(12) + 12 = 912 .
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Answer: $912.
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The value of 
in the given triangle ABC is 
. Option D is correct.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.
Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.
In the given figure, the side opposite to the angle 
is AC = 4 and the hypotenuse is AB = 5.
So, the sine ratio will be equal to,
Therefore, the value of in the given triangle ABC is . Option D is correct.
Learn more about trigonometric ratios here:
brainly.com/question/1201366
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