<span>ABCD is a parallelogram.
Looking at the quadrilateral ABCD, the first thing to do is to determine if the opposite sides are parallel to each other. So let's check that by looking at the opposite sides.
Line segment BA. When you go from point B to point A, you move to the right 1 space, and down 4 spaces. So the slope is -4. Looking at line segment CD, you also move to the right 1 space and down 4 spaces, which also means a slope of -4. So those two sides are parallel. When you compare line segments BC and AD, you'll notice that for both of them, you go to the right 5 spaces and up 2 spaces, so those too are parallel. So we can now saw that the quadrilateral ABCD is a parallelogram.
Since ABCD is a parallelogram, we now need to check if it's a rectangle (we know it can't be a square since the sides aren't all the same length). An easy way to test if it's a rectangle is to check of one of the angles is 90 degrees. And if we draw a line from B to D, we can create a triangle ABD. And in a right triangle, due to Pythagora's theorem we know that A^2 + B^2 = C^2 where A is the line segment AB, B is the line segment AD and C is the line segment BD. So let's calculate A^2, B^2, and C^2.
A^2: Line segment AB. We can construct a right triangle with A = 1 and B = 4. So C^2 = 1^2 + 4^2 = 1 + 16 = 17. So we have an A^2 value of 17
B^2: Line segment AD. We can construct a right triangle with A = 2 and B = 5. So C^2 = 2^2 + 5^2 = 4 + 25 = 29. So we have an B^2 value of 29
C^2: Line segment BD. We can construct a right triangle with A = 2 and B = 6. So C^2 = 2^2 + 6^2 = 4 + 36 = 40. So we have a C^2 value of 40.
Now let's check if the equation A^2 + B^2 = C^2 is correct:
17 + 29 = 40
46 = 40
And since 46 isn't equal to 40, that means that ABCD can not be a rectangle. So it's just a parallelogram.</span>
Answer:
31043.09
Step-by-step explanation:
Kinda feel bad for the last person who answered! They were way off but still you need to learn from your mistakes! Welp this answer is STRAIGHT OFF THE BACK from delta MATH! So this IS correct! If this helped click the stars and the heart to help fellow students, educators, etc. Understand this answer is for certain correct! I would add the steps but there is alot!
Answer:
X=6
Step-by-step explanation:
Move the variable to get 9x-7x=12
collect like terms to get 2x=12
divide to get 6
Answer:
40.75
Step-by-step explanation:
3/4 = 0.75
40 + 0.75= 40.75
The results of her effort can be grouped
into two general categories:
<u>Category #1:</u>
The box does <u>not</u> move.
<u>No</u> work is done.
<u>Category #2:</u>
The box <u>does</u> move.
Work <u>is</u> done.
