Answer:
Step-by-step explanation:
Which comparison is correct?
2 answers:
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Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides:
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Answer:
The slope is 1.
Step-by-step explanation:
First, we must find the slope of the current equation.
This is the number in front of the x.
Seeing as this is -x, or -1x, the slope of this line is -1
When finding the slope of a line perpendicular, you need to find the
So, in this case it is:
The minuses cancel out, leaving with 1 over 1 or 1/
So the slope of the line perpendicular is 1!
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