Answer:
AB = DC = 12
AD = BC = 10
Step-by-step explanation:
For ABCD to be a parallelogram, opposite side pairs must be congruent. That will be the case when ...
AB = DC
x+4 = 12 . . . . substitute expressions for length
x = 8 . . . . . . . subtract 4
Then the lengths of AD and BC must be ...
BC = AD = x+2 = 8+2 = 10
___
The figure will be a parallelogram when x=8 and sides have lengths ...
AB = DC = 12
AD = BC = 10
_____
<em>Comment on the problem</em>
Of course, if x ≠ 8, or BC ≠ AD, the figure will not be a parallelogram. You are asked to show the figure IS a parallelogram, but all you can really show is that the figure CAN BE a parallelogram. In order to do anything useful with the given expressions for side lengths, <em>you must assume the figure is a parallelogram</em>.
Rule describes the 180° counterclockwise rotation about the origin=
(x,y)→(−x,−y)
Answer:
In solving an equation where one fraction is equal to another fraction we can use the method of cross-multiplication
⇒x+6x=107
Now multiply the red terms together, the blue terms together and equate them.
⇒10x=7(x+6)
distribute the bracket.
Answer:
(0, 4)
Step-by-step explanation:
The y intercept will always be located at x=0. When x=0, y=4, so the y intercept would be written as (0, 4)
