Answer:
As mentioned ABCD is a square
So <DEC is always 90 degree
Answer:
2/3
Step-by-step explanation:
When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.
So the slope of the second line is going to be the same as the first line: 2/3
Answer:
4
Step-by-step explanation:
Equation 1
Equation 2
What is the value of 
where each variable represents a real number?
Let's expand equation 1:
Simplify each term if can:
See if we can factor a little to get some of the left hand side of equation 2:
The first two terms have 
and if I factored from first two terms I would have 
which is the first term of left hand side of equation 2.
So let's see what happens if we gather the terms together that have the same variable squared together.
Factor the variable squared terms out of each binomial pairing:
Replace the sum of those first three terms with what it equals which is 6 from the equation 2:
Combine like terms:
Subtract 6 on both sides:
Divide both sides by 3:
Answer: Option C)1 over 15 minus 1 over x equals 1 over 20
Explanation:
Since, Micah can fill a box with books in 15 minutes.
Therefore, the work done by Micah in one minute= 1/15
Also, Sydney takes the books out puts them on a shelf.
And the times taken by Micah when Sydney is also taking the books outside from the self= 20 minutes
Therefore, the work done by Micah in one minute when Sydney taking books out of the box= 1/20
Let Sydney alone takes x minutes to take books outsides the shelf.
Then, work done by Sydney in one minute=1/x
Thus, the work done by Sydney( by taking books out of the box)= the work done by Micah - work done by Micah and Sydney simultaneously= 1/15-1/20
⇒1/x=1/15-1/20
⇒1/15-1/20=1/x
⇒1/15-1/x=1/20 is the required expression.
Therefore, Option C is correct.
